Question 5 (1 point) O O The angles that are marked the same are congruent. One mark congruent to one mark; two marks congruent to two marks; three marks congruent to three marks For the image shown, which of these statements is true? O O TH a HA If vertical angles are congruent, then the lines are parallel. If alternate interior angles are congruent, then the lines are perpendicular. If corresponding angles are supplementary, then the lines are parallel. d If corresponding angles are congruent, then the lines are parallel. b
Answers
Answer:
d. If corresponding angles are congruent, then the lines are parallel
Step-by-step explanation:
This is an example of two lines intersected by a transversal. If corresponding angles on both lines are equal, then the lines must be parallel! Think about it! If both of the two-mark angles were 30 degrees, both lines would be pointing in the exact same direction - parallel!
If corresponding angles are congruent, then the lines are parallel thus option (d) is correct.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.
As per the given two parallel lines and one transversal.
The angle with a single mark is collectively known as the corresponding angle.
If the corresponding angle is the same insure that both lines which intersect at single lines will be parallel.
Hence "If corresponding angles are congruent, then the lines are parallel".
To learn more about parallel lines;
https://brainly.com/question/16701300
#SPJ2
Related Questions
Express the angle in radian measure.
-22½°
a. -π/8
b. -π/4
c. -π/16
Answers
the answer is a, -π/8
In 6 years, a father wants to accumulate $110000 to pay for his daughter's college expenses. If he can get 8% interest, compounded quarterly, how much must he invest now to achieve his goal?
Answers
The amount that hw must invest to achieve the goal when it will be compounded annualy is $68750
Given Information:
Principal Amount (P) = to be calculated
Rate of Interest (r) = 8 %
Time Period (t) = 6
Amount Received (A) = $110000
Number of times the interest is compounded quarterly (n) = 4
The Formula for the amount received when the principal (P) is compounded is given by,
[tex]A = P( 1 + \frac{r}{100n} )^{nt}[/tex]
Now, putting the values, we get:
[tex]110000 =P( 1 + \frac{8}{100*4} )^{4*6}[/tex]
P = $68750
To read more about Compound Interest, visit https://brainly.com/question/14295570
#SPJ1
solve x^2-4x+3=0 using the quadratic formula
Answers
Answer:
1 and 3
Step-by-step explanation:
discriminant = 16 - 4 * 1 * 3 = 16 - 12 = 4
x1 = (4 + √4)/2 = (4+2)/2 = 6/2 = 3
x2 = (4 - √4)/2 = (4-2)/2 = 2/2 = 1
need help???????????????????
Answers
Step-by-step explanation:
it is totally simple : you need to put the x-value into every place of the x-variable, and then we calculate.
and then the same for the next x-value. and the next. ...
-2
-2×-2 + 9 = 4 + 9 = 13
0
-2×0 + 9 = 0 + 9 = 9
2
-2×2 + 9 = -4 + 9 = 5
4
-2×4 + 9 = -8 + 9 = 1
Question 9 of 10
Mark all the statements that are true.
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
B. The equation of this line is x = 3.
C. This graph is a function whose range is the set (3).
D. This graph is a function because the value of x is the same for
every value of y.
E. This graph is a function whose domain is the set (3).
Answers
True statement are:
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
D. This graph is a function because the value of x is the same for
every value of y.
Given,
In the question:
To see the graph :
Mark all the statement that are true.
Now, According to the question:
From the graph,
Equations are expressions of two mathematical expressions t such as two numbers, functions. An equality between quantities and operations, usually with an equal sign "=".
Functions is a correspondences between two sets that are not empty each element in the set of input values can corresponds to a element in a set of output values that is unique.
Hence, True statement are:
A. This graph is not a function because the value x = 3 is assigned to
more than one y-value.
D. This graph is a function because the value of x is the same for
every value of y.
Learn more about Graph at:
https://brainly.com/question/16608196
#SPJ1
What is h in the parallelogram?
Answers
The value of h in the parallelogram is 4 feet
The area of the parallelogram = b × h
Where b is the base of the parallelogram
h is the height of the parallelogram
One side of the parallelogram = 6 feet
The second side of the parallelogram = 8 feet
If the base of the parallelogram is 6 feet
The area = 6 × h
If the base of the parallelogram is 8 feet
Then the area of the parallelogram = 8 × 3
= 24 square feet
In both cases the area will be equal, then the equation will be
6h = 24
h = 24 / 6
h = 4 feet
Hence, the value of h in the parallelogram is 4 feet
Learn more about area of the parallelogram here
brainly.com/question/9148769
#SPJ1
I need assistance with this math assignment
Answers
a) The maximum height of the ball is 100 feet.
b) The velocity of the ball on its way up is +16 feet per second.
c) The velocity of the ball on its way down is - 16 feet per second.
How to analyze quadratic equations to find the main features of a free fall
A free fall is an uniformly accelerated motion experimented by a particle due to the effects of gravity. The position of the ball (s) in time (t), in seconds, is described by a quadratic equation.
a) First, we find the maximum height reached by the ball:
s(t) = 80 · t - 16 · t²
16 · t² - 80 · t + s(t) = 0
Then, by using the discriminant:
(- 80)² - 4 · 16 · s(t) = 0
64 · s(t) = (- 80)²
s(t) = 100 ft
b) Second, find the function velocity by derivatives:
v(t) = 80 - 32 · t
Third, find the time related to the position s(t) = 96 ft:
s(t) = 80 · t - 16 · t²
100 = 80 · t - 16 · t²
16 · t² - 80 · t + 96 = 0
Then, by quadratic equation:
t = 3 s or t = 2 s.
Fourth, evaluate the function velocity:
v(2) = 80 - 32 · 2
v(2) = 16
v(3) = 80 - 32 · 3
v(3) = - 16
The velocity of the ball when s(t) = 96 ft on its way up is 16 feet per second.
c) The velocity of the ball when s(t) = 96 ft on its way down is - 16 feet per second.
To learn more on free-fall motions: https://brainly.com/question/13796105
#SPJ1
75°
64°
2
The measure of the exterior angle of the triangle is
Answers
Answer:
exterior angle = 139°
step-by-step explaination:(I'm using "X" instead of "2")
to find the exterior angle, find the interior angle first and then use the straight line.
interior angle = 180° therefore,
75° + 64° + X = 180
139° + X = 180°
X = 180° - 139°
X = 41° (not the answer)
a straight line = 180°
X = 41°
Y - the exterior angle
41° + Y = 180°
Y = 180° + 41°
Y = 139°
hope this is clear :)
Solve the following equation below. Show each step and check your work.
72y - 126 = 522 + 144
Answers
Answer: y = 11
Step-by-step explanation:
Our problem: 72y - 126 = 522 + 144
1. Simplify 552 + 144 to 666
72y - 126 = 666
2. Add 126 to both sides
72y = 666 + 126
3. Simplify 666 + 126 to 792
72y = 792
4. Divide both sides by 72
y = [tex]\frac{792}{72}[/tex]
5. Simplify [tex]\frac{792}{72}[/tex] to 11
y = 11
This is due tomorrow, please help!
Mr. Phone stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12% what is the total cost for the hotel room?
Answers
Answer:
$235.20
Step-by-step explanation:
the tax :
[tex] \frac{12}{100} \times 210 = 25.20[/tex]
total cost :
$210 + $25.20 = $235.20
Step-by-step explanation:
Here, we want to find the total cost of the hotel room
Total cost of hotel room = Cost of hotel room for the two nights + tax
Tax = 12% Total cost = 210 + 12% of 210
Total cost = 210 + (12/100 * 210)
Total cost = 210 + 25.2
Total cost = $235.2
convert 62/80 to a decimal and to a percent
Answers
The length of the longer side of a rectangle is 2 in. less than twice the length of
the shorter side. The area of the rectangle is 60 in2. What is the difference
between the lengths of the longer and shorter sides?
Answers
To unpack the words, here is a list of what we are told:
The length is given to us as a function of width which means if I’m selecting something to be “x,” my variable I’m going to make it the width. Thus first things first - “x” will equal my width. Remember though that when we solve this equation we are building it will give us the LENGTH
We are told “2 feet more than.” “More than sounds a lot like addition doesn’t it? Therefore somewhere in my equation I’m adding two to something!
We are told “Twice the width.” Twice sounds a lot like multiplication doesn’t it? Therefore, somewhere in my equation I’m multiplying something by 2!
Finally we are told that the area is 60 square feet! This means what? That l x w = 60! This means that whatever I do in my equation, after the equals sign will be “60l”
Okay! Time to build the equation!
First… it’s equal to 60 so it begins with … = 60
Next, the first thing we said is the width would be x so since we are using l x w = a, I can put in x for the width so… l * x = 60
Now the tricky part…how is the length defined? Well we know! It’s 2 times the width plus 2! So…this is what the whole thing looks like: (2x+2)x = 60
Now we solve:
Distribute the x to eliminate the parentheses: 3x + 2x = 60
Combine like terms: 5x = 60
Divid both sides by 5: x = 12
REMEMBER THAT X IS ONLY THE LENGTH!
So the width is 12 minus two divided by 2 or 5
So Length = 12, Width = 5
check it: l x w = A, 12 x 5 = 60
Done
H
3/21
(5,4)
Type here to search
U2FsdGVkX19Gmq6NxFwchHwtmTuzdHdnF2526%252BPKnZnmk4prUc006/EXe%252BwFFIHOATvP2Lrdy RyLSEw3w%253D%253D%
(5,2)
[12]
Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1).
Graph the figure and its rotated image after a
counterclockwise rotation of 180° about the origin.
What are the coordinates of T'?
6
(-3,-1)
6048 4787 3
(-3,-2)
721 PM
11/10/2012
Answers
The coordinates of T' are, T'(-3, -1).
What is rotation?
A rotation is a transformation in which each point of a preimage is turned through a predetermined angle and direction around a fixed point. The center of rotation is the fixed point. The term for the amount of rotation is the angle of rotation, and it is expressed in degrees. Measure the specified angle in the anticlockwise direction using a protractor.
Given: Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1).
We have to find the coordinates of T' after counterclockwise rotation of 180°.
Since, The rule for a rotation by 180° about the origin is (x, y) → (−x, −y).
So, the coordinates R(1, 1), S(1, 4) and T(3, 1) changes to R'(-1, -1), S'(-1, -4) and T'(-3, -1).
Therefore, the coordinates of T' are T'(-3, -1).
To know more about rotation, click on the link
https://brainly.com/question/2078551
#SPJ1
Need help with question
Answers
The composite functions and their domains are listed as follows:
a) (f ∘ g)(x) = sin(2x/(x + 5)), domain is all real values except x = -5.
b) (g ∘ f)(x) = sin(2x)/(sin(2x) + 5), domain is all real values except x = -5 and the values of x for which sin(2x) + 5 = 0.
c) (f ∘ f)(x) = sin(sin(2x)), domain is all real values.
d) (g ∘ g)(x) = x/(6x + 5), domain is all real values except x = -5 and x = -5/6.
How to obtain the composite functions and their domains?
The composite functions are found applying the inner function as the input to the outer function, according to the rule presented as follows:
(f ∘ g)(x) = f(g(x)).
The domain is the set of values that respect all the input constraints of the inner function, of the outer function, and of the composite function.
For this problem, the functions are given as follows:
f(x) = sin(2x).g(x) = x/(x + 5).For item a, the inner function g is applied as the input to the outer function f, hence:
f(g(x)) = sin(2x/(x + 5))
The sine has no constrains, the fraction cannot have a denominator zero, hence the domain is composed by all real values except x = -5.
The other composite functions are listed as follows:
g(f(x)) = sin(2x)/(sin(2x) + 5), domain is all real values except x = -5(constraint of g(x)) and the values of x for which sin(2x) + 5 = 0.f(f(x)) = sin(sin(2x)), the domain is all real values, as the sine has no restriction.[tex]g(g(x)) = \frac{\frac{x}{x + 5}}{\frac{x}{x + 5} + 5} = \frac{x}{6x + 5}[/tex]
Domain is all real values except:
x = -5 -> constraint of g(x).x = -5/6 -> constrain of the composite function.More can be learned about composite functions at https://brainly.com/question/10687170
#SPJ1
Simplify
15x²y³-10x²y² +5xy² divided by 5xy
Answers
Answer:
y(3xy-2x+1)
Step-by-step explanation:
I'm pretty sure it'd be y(3xy-2x+1).
Answer:
3xy²-2xy +y
Step-by-step explanation:
15x²y³-10x²y² +5xy² = 5xy(3xy²-2xy +y)
then
5xy(3xy²-2xy +y) / 5xy = 3xy²-2xy +y
When planning a cruise, you have a choice of 3 destinations: Cozumel (C), Jamaica (J), or Grand Caymans (G); a choice of 2 types of rooms: balcony (B) or inside view (I); and a choice of 4 types of excursions: water sports (W), horseback riding (H), parasailing (P), or zip-lining (Z). If you are choosing only one of each, list the sample space in regard to the vacations (combinations of destinations, rooms, and excursions) you could pick from.
Answers
The sample space in regard to the vacations is 24
Choice of 3 destinations: Cozumel (C), Jamaica (J), or Grand Caymans (G) =
3C1
A choice of 2 types of rooms: balcony (B) or inside view = 2C1
And a choice of 4 types of excursions: water sports (W), horseback riding (H), parasailing (P), or zip-lining (Z) = 4C1
Choosing only one of each, the sample space in regard to the vacations
Sample space = choice of destination x choice of room x choice of water sports
= 3C1 x 2C1 X 4C1
= 3 x 2 x 4 = 24
Therefore, the sample space in regard to the vacations is 24
To learn more about combinations refer here
https://brainly.com/question/11732255
#SPJ1
At a particular restaurant, each pizza roll has 65 calories and each chicken wing has 50 calories. A combination meal with pizza rolls and chicken wings is shown to have 1015 total calories and 5 more pizza rolls than chicken wings. Determine the number of pizza rolls in the combination meal and the number of chicken wings in the combination meal
Answers
6 chicken wings
92. Which key word would help you decide which operation to use to solve the following: If Kay has 5 pencils, but gives 1 to Mary, how many would she have left? (a) has (c) pencils (b) give (d) left
Answers
Answer:
Step-by-step explanation:
the correct answer is A.
because if Kay has 5 pencils and it is given to Merry 1, it means that Kay still has 4 pencils.
Darren and Clara live in a tall building. Clara lives 12 floors above Darren. One day Darren went up to visit Clara and he took the stairs up from his apartment to Clara’s. Half-way up he was on the 8th floor. On what floor does Clara live? Show your work.
Answers
If Clara lives 12 floors above Darren, Clara lives on the 16 floor while Darren lives on the 4 floors.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given that Darren and Clara reside in a towering structure, this is expected. Twelve stories above Darren, Clara resides. One day, Darren climbed the stairs from his apartment to Clara's and went to see her. He was halfway up, on the eighth floor.
Suppose Darren and Clara live on x and y number of floor respectively.
If Clara lives 12 floors above Darren.
x-y=12
If in halfway he is on the 8th floor the total number of floors in the building will be 16.
As a result, we can say that Clara lives on the 16 floors while Darren lives on the 4 floor.
Thus, if Clara lives 12 floors above Darren, Clara lives on the 16 floors while Darren lives on the 4 floors.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
The demand for an item is given as Q=2500-6P where P is the pric supply is Q=1750 +4P. How many units Q must be made for supply to equ
Answers
The quantity of items tha must be made for supply to equal demand is 2050 items
What is demand?Demand simply means a consumer's desire to buy goods and services without any hesitation and pay the price for it.
To calculate the unit of quantity Q that must be made for demand to be equal to supply, we equate the demand and supply equation.
From the question,
For Demand
Q = 2500-6P............... Equation 1From Supply,
Q = 1750+4P........... Equation 2When supply is equal to demand
2500-6P = 1750+4PSolve for P
10P = 2500-175010P = 750P = 750/10P = 75Substitute the values of P into equation 1
Q = 2500-6(75)Q = 2500-450Q = 2050Hence, the quantity of items tha must be made 2050 items.
Learn more about demand here: https://brainly.com/question/16790743
#SPJ1
Rewrite
barrel
hour
о
as a unit rate.
O A. 2 barrels/hour
OB. barrel/hour
OC. 6 barrels/hour
D. barrel/hour
Please I need it asap
Answers
Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.
What is unit rate?
"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."
According to the question,
Given,
1/5 barrel/1/2 barrel
⇒ (1/2) hour = (1/5) barrel
⇒ 1 hour = (2/5) barallel
⇒ (2/5) barrel per one hour.
Therefore,
Unit rate of given value is rewritten as
2/5 barrel/hour
hence option b is correct.
Learn more about unit rate here:
brainly.com/question/11258929
#SPJ1
Your question is incomplete. Please find the missing content below.
Rewrite 1/5 barrel 1/2 hour as a unit rate.
A. 2 1/2 barrel/hour
B. 2/5 barrel/hour
C. 10 barrels/hour
D. 1/10 barre./hour
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a repair cost of $300. The company offers an extended two-year warranty.
If a consumer does not purchase the extended warranty, then the consumer will need to pay for any necessary repairs. What is the expected value of their repair costs?
Answers
The expected value of their repair costs is $41.50.
How to calculate the repair cost?Given the probability of failure as 0.5%, this can be illustrated as 0.005.
The cost of repair is given as $300.
The expected value of the company will be:
= Earnings - [(Cost × P(failure)]
= 43 - (300 × 0.005)
= 43 - 1.50
= 41.5
The value is $41.50.
Learn more about cost on:
brainly.com/question/25109150
#SPJ1
Complete question
company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a repair cost of $300. The company offers an extended two-year warranty.
If a consumer does not purchase the extended warranty, then the consumer will need to pay $43 for any necessary repairs. What is the expected value of their repair costs?
In AGHI, h = 300 inches, ZG=30° and H=29°. Find the
length of i, to the nearest inch.
Answers
The length of i will be 531.3 inch when h is 300 inch and ∠G is 30° and ∠H is 29°.
What is angle?When two straight lines or rays intersect at a shared terminal, an angle is generated. An angle's vertex is the common point of contact. The difference in direction between two lines or surfaces is defined as an angle. Angles are expressed in degrees. From a same point, the two hands draw separate sets of lines. Angle refers to these groups of lines that originate from a common point. Every minute, the two hands create various angles. In real life, one example of an angle is a clock.
Here,
∠I=180-(30+29)
=180-59
∠I=121°
h/sin H=i/sin I
300/sin 29=i/sin 121
i=300*sin 121/sin 29
i=531.3 inch
When h is 300 inches, G is 30 degrees, and H is 29 degrees, the length of I is 531.3 inches.
To know more about angle,
https://brainly.com/question/7116550?referrer=searchResults
#SPJ1
The lifetime of a certain type of battery is known to be normally distributed with standard deviation =σ17 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 95% confidence interval for the mean lifetime for this type of battery.
Answers
The point estimate for the lifetime of a certain type of battery is 120.1 hours.
How to illustrate the information?Let X represent the battery's lifetime. X has a normal distribution with a standard deviation of 20 hours. The sample size is 50, and the average lifetime is 120.1 hours.
Calculating the mean of a sample drawn from the population yields a point estimate of the population's mean. The mean is calculated as the sum of all sample values divided by the number of values.
A single value estimate of a parameter is referred to as a point estimate. A sample mean, for example, is a point estimate of the population mean. An interval estimate provides a range of values within which the parameter is expected to fall. The population mean point estimate is sample mean and this is 120.1 hours.
Learn more about mean on:
https://brainly.com/question/7597734
#SPJ1
Complete question
The lifetime of a certain type of battery is known to be normally distributed with standard deviation =σ17 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 95% confidence interval for the mean lifetime for this type of battery. What is the point estimated?
Arrange the following numbers in increasing order (smallest first, biggest last):
A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2
D = 4*(-1)/2*(-1)*8*(-1)
E = 3*2^(1/2)*4*1/4
Answers
The numbers arranged in increasing order are D < C < A < E < B.
We are given a set of five numbers. The numbers are represented by the variables A, B, C, D, and E. The numbers need to be calculated. The numbers are solved below.
A = 2*1/2*4*1/6 = 2/3 = 0.667
B = 12*128 = 1,536
C = 1*8*1/5² = 8/25 = 0.32
D = 4*(-1)/2*(-1)*8*(-1) = -16
E = 3*√2*4*1/4 = 3√2 = 4.24
We need to arrange the numbers in increasing order. Ascending order refers to the arrangement of numbers in increasing order, from least to greatest. The numbers in ascending order are given below :
-16 < 0.32 < 0.667 < 4.24 < 1,536
The increasing order of the corresponding variables is : D < C < A < E < B.
To learn more about numbers, visit :
https://brainly.com/question/17429689
#SPJ1
John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubedJohn painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)John painted his most famous work, in his country, in 1930 on composition board with perimeter 104.09
in. If the rectangular painting is 5.72
in. taller than it is wide, find the dimensions of the painting.
Question content area bottom
Part 1
What is the width? enter your response here
▼
in. squared
in. cubed
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
in.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
Answers
The dimensions of the rectangular paint of perimeter 104.09 inches are given as follows:
Height: 28.88 inches.Width: 23.16 inches.How to obtain the perimeter of a rectangle?The perimeter of any polygon, including a rectangle, is given by the sum of all the lengths of the outer edges of the figure.
Hence, for a rectangle of height h and width w, the perimeter is given by twice the sum of these dimensions, hence it is given as follows:
P = 2(h + w).
In this problem, the perimeter has the value given as follows:
P = 104.09 inches.
Hence:
2(h + w) = 104.09
h + w = 104.09/2
h + w = 52.045 inches.
The painting is 5.72 inches taller than it is wide, hence:
h = 5.72 + w.
Then the height is obtained as follows:
5.72 + w + w = 52.045
2w = (52.045 - 5.72)
w = (52.045 - 5.72)/2
w = 23.16 inches.
Then the height of the rectangular painting is given as follows:
h = 5.72 + w = 5.72 + 23.16 = 28.88 inches.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
#SPJ1
What is the value of 4n+ 7 when n
-
2?
Answers
Answer:
Either 15 or -1 see below
Step-by-step explanation:
I am not sure if you menat n = 2 or n = -2
n= 2
4n + 7 Subtitute in 2 for n
4(2) + 7
8 + 7
15
n = -2
4n + 7y
4(-2) + 7
-8 + 7
-1
Your classmate is starting a new fitness program. He is planning to ride his bicycle 60 minutes every day. He burns 8 calories per minute bicycling at 11 mph and 12.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 575 calories?
Answers
The distance it should take my classmate to ride the bicycle at each speed to burn 575 calories would be = 13.2m for first speed and 11.3m for the second speed.
What is a fitness program?A fitness program is defined as the program that is adequately organised for the purpose of maintaining proper healthy calories.
The period he plans to ride the bicycle for a day = 60minutes.
For the first speed,
8 cal/ min = 11mph
To convert to hour,
8 × 60 =480
He burns 480cal per hour in 11mph speed
If 480cal = 11 mph
575 cal = X
make X the subject of formula;
X = 575×11/480
X = 6325/480
X = 13.2 m
For the second speed;
12.75 cal/ min = 15mph
To convert to hour,
12.75 × 60 =765cal
He burns 765cal per hour in 11mph speed.
If 765cal = 15mph
575 cal = y
make y the subject of formula;
y = 575 × 15/765
y = 8625/765
y = 11.3 m
Learn more about speed here:
https://brainly.com/question/24739297
#SPJ1
A species of bacteria has a population of 80 at noon. It double every 8 hours. The function that models the growth of the population, P, at any hour, t, is
P(t) = 80(28) 8 a. Why is the exponent ?
b. Why is the base 2?
c. Why is the multiplier 80?
d. Determine the population at noon the next day.
e. Determine the time at which the population first exceeds 60 Thousand.
Answers
Answer:123
Step-by-step explanation:
31231231232131
factorise 6x^2+11x+4
Answers
Answer:
(2x+1)(3x+4)
Step-by-step explanation:
6x² + 11x + 4
multiply the first and last term
i.e (6x²)(4) = 24x²
find two terms that multiplies to give 24x² and when added would give 11x
¶ 8x and 3x
Therefore; 6x² + 11x + 4
6x² + 8x + 3x + 4
2x(3x + 4) + 1(3x + 4)
Answer; (2x + 1)(3x + 4)
(2x+1)(3x+4) is a factorized form of the expression