Answer:
So in between the 2 and the / there is an 8
Step-by-step explanation:
Because 28/4=7
A city park is in the shape of a triangle where
the sides have lengths 170 m, 162 m, and
177 m. If a fence was built around the
perimeter of the park, how long would the
fence need to be?
Answer:
solution here
length
c=170
a=162
b=177
perimeter=?
now,
perimeter of triangle = a+b+c
=170+162+177
=511
perimeter=511 cm
perimeter = length of fence
therefore,the fence should be 511 cm long.
The length of the fence needed would be 509 meters.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.
The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -
P = sum of the side lengths
P = 170 + 162 + 177
P = 509 meters
Therefore, the length of the fence needed would be 509 meters.
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An angle measures 26.9 degrees. What is its complement?
Answer:
63.1°
Step-by-step explanation:
Complementary angles sum 90°
90 - 26.9 = 63.1°
At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?
f (n) = 2.75 + 4.75 + f (n − 1), f (0) = 2.75
f (n) = 4.75 + f (n − 1), f (0) = 2.75
f (n) = 2.75 + 4.75n, n > 0
f (n) = (2.75 + 4.75)n, n > 0
The recursive equation for f(n) will be:
f(n) = 2.75 + 4.75n, n > 0
The cost of the shoe rental = $2.75
The cost of 1 game = $2.75
The cost if n games = 4.75n
The total cost of shoe rental and n games = Cost of the shoe rental + cost of n games
Let the total cost of shoe rental and n games be f(n)
f(n) = 2.75 + 4.75n
Since at least 1 game will be played,
the recursive equation for f(n) will be:
f(n) = 2.75 + 4.75n, n > 0
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Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?
Answer:
I think its 6
Step-by-step explanation:
How much is 1/9 of 3/8 (in lowest terms)?
A)4/17
B)03/17
C)1/36
D)1/24
Answer:
1/24
Step-by-step explanation:
multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
Which value of y makes the equation y+4.2=21 true?
I NEED THE ANSWER ASAP I ONLY HAVE 20 MINS TO COMPLETE
A. y = 16.8
B.y=17.2
C.y=17.8
D=25.2
Answer:
A: 16.8
Step-by-step explanation:
4.2 and 16.8 both have decimal place values. If you line up the decimals when you add them, then you get 21.
Which expression is equivalent to f+f-5f
The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?
The next number in the sequence shown below is 156.
1, 15, 155,
The next number of the sequence 1, 15, 155, ...... will be 1555.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
A sequence in arithmetic is an enumerated collection of items in which duplicates are permitted and order is important. It has members, just like a set. The distance of the order is defined as the number of items.
The sequence is given below.
1, 15, 155, ......
The next number of the sequence will be given by adding the digit 5 in the one's place. Then the sequence is given as,
1, 15, 155, 1,555, 15,555, 155,555,......
Then the number will be 1555.
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Which of the lines listed below is parallel to the line with the equation y = 3/2x + 5?
use desmos graphing calculator
A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose a white marble at random and kept it. What is the probability that when Hosea now draws a marble it will also be white
Answer:
2/9
Step-by-step explanation:
28 marbles in all
"Half of the marbles are red."
28/2 = 14 red
"Half of the non-red marbles are white..."
14/2 = 7 white
"...and the rest are blue."
25 -14 -7 = 7 blue
"Todd chose a white marble at random... " -from the bag that has...
14 red 7 white 7 blue
"... and kept it."- so now the marbles left in the jar are...
14 red 6 white 7 blue
P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9
Evaluate the integral:
Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then
∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt
… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt
… = 7 ∫ √(1 - sin²(t)) cos(t) dt
… = 7 ∫ √(cos²(t)) cos(t) dt
We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so
√(cos²(t)) = |cos(t)| = cos(t)
and the integral reduces to
… = 7 ∫ cos²(t) dt
Recall the half-angle identity for cosine:
cos²(t) = (1 + cos(2t))/2
Then the integral is
… = 7/2 ∫ (1 + cos(2t)) dt
… = 7/2 (t + 1/2 sin(2t)) + C
… = 7t/2 + 7/4 sin(2t) + C
Get the antiderivative back in terms of x. Recall the double angle identity for sine:
sin(2t) = 2 sin(t) cos(t)
We have t = arcsin(x/√7), which gives
sin(t) = sin(arcsin(x/√7)) = x/√7
cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7
Then
∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C
… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week. About how many gallons of milk does the class drink in 10 weeks? Round your answer to the nearest tenth of a gallon if needed.
262.5 gallons of milk does the class drink in 10 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The kindergarten class at Stokes Elementary drinks about 210 pints of milk per week.
as, we know that
1 pint= 0.125 Galloon
So, 210 pints milk = 210 x 0.125 = 26.25 Galloon
Then, In 10 weeks amount of milk drink
= 26.25 x 10
= 262.5 Gallon
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Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.
Using the information given, it is found that the linear function is given by:
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
A linear equation, in point-slope formula, is modeled by:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.Parallel to 4x - 2y = 6, which, in standard form is:
[tex]2y = 4x - 6[/tex]
[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]
[tex]y = 2x - 3[/tex]
Hence, the slope is [tex]m = 3[/tex].
Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
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Find the slope.
y = 3x – 11
m =[?]
you know that y=mx +c then in the place of m is 3 then answe is also three.
A- CE=CD
B- CE = CA
C- BF=DF
D- DF=EF
please help!!
The perpendicular bisector theorem gives the statements that ensures
that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.
The two statements if true that guarantee [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;
[tex]\overline{CE} = \overline{CD}[/tex] [tex]\overline{DF} = \overline{EF}[/tex]Reasons:
The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].
Required:
The two statements that guarantee that [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].
Solution:
From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;
[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.
[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.
Therefore;
[tex]\overline{DF} = \overline{EF}[/tex] by perpendicular bisector theorem.
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Two angles are complementary. The larger angle is 32° larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.
The angles are 29° and 61°.
Let the smaller angle be x
Let the larger angle be x+32.
The sum of the complimentary angles will be 90°.
Therefore, x + x + 32° = 90°
2x + 32° = 90°
2x = 90° - 32°
2x = 58°
x = 58/2
x = 29°
The larger angle = x + 32 = 29 + 32 = 61°
solve the system using substitution 5x+3y=-4 y-2x=6
Solving steps:-
5x+3y=−4
y−2x=6
-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
5x+3y=−4,−2x+y=6
-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
5x+3y=−4
-->Subtract 3y from both sides of the equation.
5x=−3y−4
--> Divide both sides by 5.
x = 1/5(-3y - 4)
--> Multiply 1/5 −3y−4.
x = -3/5y - 4/5
--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.
-2 (-3/5y - 4/5) + y = 6
--> Multiply −2 times -3y - 4/ 5
6/5y + 8/5 + y = 6
--> Add 6y/5 to y
11/5y + 8/5 = 6
--> Subtract 8/5 from both sides of the equation.
11/5y = 22/5
--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.
y = 2
--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.
x = -3/5 x 2 - 4/5
--> Multiply -3/5 times 2.
x = -6 - 4/ 5
--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x = -2
--> The equation is now solved.
Answer : x = -2, y = 2
Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.
graph the function
f (x) = |x + 2| - 5
Answer:
View the link for the answer
Write the first five terms of the geometric sequence whose first terns 6, and whose common ratio is 3.
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
Geometric progression is given by:
[tex]nth\ term=ar^{n-1}[/tex]
where a is the first term, r is the common ratio
Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3
[tex]First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486[/tex]
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
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please help ill mark brainliest
Answer:
it's 11
Step-by-step explanation:
A video is getting 150000 views every 3 days how long will it take to reach 400000 views?
Answer:
It will take 8 days.
Step-by-step explanation:
Find the unit rate;
150000/3 = 50000
4000000/50000=8
8 days.
Hope this helps.
(✿◡‿◡)
Help plz no links will mark best answer
Answer:
20
Step-by-step explanation:
you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20
Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3
Answer:
y=1/3x-8
Step-by-step explanation:
The slope intercept form of a line is y=mx+b
m stands for slope and b stands for y intercept
So ... simply put 1/3 in for m and -8 in for b
Half a number is subtracted from 7 results in 34
Answer:
[tex]-54[/tex]
Step-by-step explanation:
If the number being halved is x, we can write the expression
[tex]7-0.5x=34[/tex]
Now, bring like terms and solve!
[tex]-0.5x=27[/tex]
Multiple both sides by -2 and you get
[tex]x=-54[/tex]
Wanna check the answer? Well...
[tex]7-(-54*0.5)=7+27=34[/tex]
Need help asap! Pls
Answer:
Step-by-step explanation:
The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)
130 + (3x + 5) = 180
3x + 5 = 50
3x = 45
x = 15
subtract the sum of h and 6 from 4
-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule
Answer:
Multiplied by -4
Step-by-step explanation:
-5 (-4) = 20
20 (-4) = -80
-80 (-4) = 320
15.
How many values are in the data set whose histogram is shown below?
The total values in the dataset is 24 values
From the given histogram, to get the number of values in the dataset, we will have to trace each bar to the y-axis and then take the sum.
For the black bar, the total values of the dataset will be 11 + 2 = 13For the white bar, the value of the data st will be 3For the grey bar, the total values of the dataset will be 1 + 2 = 3For the ask bar, the total values of the dataset will be 2 + 3 = 5The total values of the dataset = 13 + 3 + 3 + 5
The total values of the dataset = 24 values
Hence the total values in the dataset is 24 values
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Answer:
answer is 22, is you add all the values
Step-by-step explanation: