Answer:
The area of triangle M is 1.44 times the area of triangle M.
Step-by-step explanation:
From Geometry we remember that the area formula of the triangle is:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (1)
Where:
[tex]b[/tex] - Base of the triangle, dimensionless.
[tex]h[/tex] - Height of the triangle, dimensionless.
[tex]A[/tex] - Area of the triangle, dimensionless.
The dillation of the triangle by a scale factor means that:
[tex]A' = \frac{1}{2}\cdot b'\cdot h'[/tex] (2)
[tex]b' = k\cdot b[/tex] (3)
[tex]h' = k\cdot h[/tex] (4)
Where:
[tex]b'[/tex] - Dilated base of the triangle, dimensionless.
[tex]h'[/tex] - Dilated height of the triangle, dimensionless.
[tex]A'[/tex] - Dilated area of the triangle, dimensionless.
[tex]k[/tex] - Dilation factor, dimensionless.
If we know that [tex]k = 1.2[/tex], then the area formula for the dilated triangle is:
[tex]A' = \frac{1}{2}\cdot (k\cdot b)\cdot (k\cdot h)[/tex]
[tex]A' = k^{2}\cdot \frac{1}{2}\cdot b\cdot h[/tex]
[tex]A' = k^{2}\cdot A[/tex]
Therefore, the area of triangle M is 1.44 times the area of triangle M.
Answer:
C- The area of triangle M'is 1.44 times the area of triangle M.
Step-by-step explanation:
1.44 divided by 1.2=1.2
What is 17/40 written as a decimal?
Answer:
0.425
Step-by-step explanation:
division of 17/40
JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept form.
Answer:
y = 5/2x + 4Step-by-step explanation:
Midpoint of JK:
x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1Slope of the line JK:
m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5Perpendicular lines have negative reciprocal slopes.
So the line r has a slope 5/2 and passes through the point (-2, -1)
Equation of r:
y = 5/2x + b-1 = 5/2(-2) + b-1 = -5 + bb = 5 - 1b = 4So the equation is:
y = 5/2x + 4
PLEASE HELP WILL MARK AS BRAINLEST
Question: Use the equation
y = 5 + 1/2x to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.
Use the information in the figure. Find m
Answer:
Its 32
Step-by-step explanation:
you need to get 180 degrees altogether
whats the answer giving brainliest to the c o rect anwers
Answer:
A
Step-by-step explanation:
9/3 is 3
36-3 is 33
Estimate 1/3 times 28
Answer:
9.333333
Step-by-step explanation:
28/3=28(1/3)
Answer
About 9
Explanation
1/3 times 28 is 9 1/3.
9 1/3 is closest to 9.
I DESPERATELY NEED HELP PLZ ANSWER THESE QUESTIONS I AM TIMED AND DON"T HAVE MUCH TIME LEFT
Answer:
Ok I will help you answer the first one the rest yourself?
Step-by-step explanation:
So the question is
6(r-s+t)
we have to time each number by 6
6r-6s+6t
That's how we can simply so the answer is 6r-6s+t
Same thing goes with the others
Hope it helps 0w0
What is 903 divided by 72?
33 POINTS FOR THIS QUESTION!!
Answer:
12.5416667
Step-by-step explanation:
GIVEING BRAINLIST Match the terms to their definition.
1. proportion
a statement that sets the cross products of a proportion equal to each other
2. constant of proportionality
the relationship between two quantities that have a constant ratio
3. cross multiplication
the constant value relating two proportional quantities
4. proportional relationship
a statement that says two ratios are equal
Answer:
proportion=a statement that says two ratios are equal
constant of proportionality= the constant value relating two proportional quantities
cross multiplication= a statement that sets the cross products of a proportion equal to each other
proportional relationship= the relationship between two quantities that have a constant ratio
i just did this so you can mark the other person brainlist
SOLVE FOR VARIABLE PLEASE HELPP ASAP!!:)))
Answer:
x=24
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
3x=72
x=24
Answer:
x=24°
Step-by-step explanation:
180-96=84
2x+x+12=84
3x+12=84
-12 -12
3x=72
3x/3=72/3
x=24
hopefully this helps :)
0.0008012 in standard form
Answer:
Step-by-step explanation:
8.012 x 10^-4
Answer:
8.012×10^-4
Step-by-step explanation:
..............
Rewrite the expression by factoring out (y-8).
3y^2(y-8)+7(y-8)
Answer
(y-8)x(3y^+7)
Step-by-step explanation:
3y^2(y-8)+7(y-8)
(y-8)x(3y^+7)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten by factoring out (y-8) as,
3y²(y-8) + 7(y-8)
= (3y²+7)(y-8)
Hence, The given expression 3y²(y-8)+7(y-8) can be rewritten by factoring out (y-8) as (3y²+7)(y-8).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
How many oatmeal cookies were at the party?
Answer:
15 oatmeal cookies.
Given that the 10th term of an AP is 45 and that the sum
of the first 10 terms is 270 find
a) The first term
b) The common difference
c) The sum of the first 15 terms
A) The first term of the AP is; 9
B) The common difference of the AP is; 4
C) The sum of the first 15 terms of the AP is; 555
Formula for nth term of an AP is;
a_n = a + (n - 1)d
Where;
a is first term
n is number of terms
d is common difference between consecutive terms
We are told the 10th term is 45
Thus;
45 = a + (10 - 1)d
a + 9d = 45 - - - (1)
Formula for sum of n terms of an AP is;
S_n = (n/2)(2a + (n - 1)d)
Sum of first 10 terms is 270. Thus;
270 = (10/2)(2a + (10 - 1)d)
5(2a + 9d) = 270
2a + 9d = 270/5
2a + 9d = 54 - - - (2)
Solving both equations simultaneously gives;
a = 9 and d = 4
Thus;
First term = 9
Difference = 4
Sum of first 15 terms is;
S_15 = (15/2)(2(9) + (15 - 1)4)
S_15 = 7.5(18 + 56)
S_15 = 555
Read more on arithmetic progression at; https://brainly.com/question/7849474
Pls help....................
Answer: EGF
Step-by-step explanation:
One angle of a parallelogram measures 15º. What are the measures of the other three angles in
the parallelogram?
Answer:
The opposite angle is 15 degrees. So that leaves you with 330 degrees for the last two sides which is 115 degrees each.
Twice a number q minus 1 is less than 5
Answer:
2q - 1 < 5
If you're trying to solve for q...
q < 3
Step-by-step explanation:
I'm not sure if you were asking for the inequality or the answer for q... but I'll gladly explain either if you need :)
What compound inequality describes this graph
Answer:
[tex] 3 < x < 4 [/tex]
Step-by-step explanation:
The graph shows a conjunction. Meaning, both statements of the compound inequality are true.
The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.
The compound inequality would be written as:
[tex] 3 < x < 4 [/tex]
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function fox)-2574models average annual expenditures per household, in dollars. In this model, x represents the year, where x 0 corresponds to 2003 (a) Estimate out-of-pocket household spending on health care in 2008 (b) Determine the year when spending reached $2875 per household (c) The total expenditures per household in the year 2008 were approximately S (Round to the nearest dollar as needed.)
Answer:
(a) The total expenditures per household in the year 2008 were approximately $3,080.
(b) The spending reached $2875 per household in 2006.
Step-by-step explanation:
Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.
(a) Estimate out-of-pocket household spending on health care in 2008.
(b) Determine the year when spending reached $2875 per household
The explanation to the answer is now given as follows:
(a) Estimate out-of-pocket household spending on health care in 2008.
Given;
f(x) = 2574e^(0.0359x) ........................ (1)
Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.
Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:
f(6) = 2574e^(0.0359 * 5)
f(6) = 2574 * 1.19661890406748
f(6) = 3,080.09705906969
Rounding to the nearest dollar as needed, we have:
f(6) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b) Determine the year when spending reached $2875 per household
This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:
2875 = 2574e^(0.0359x)
2875 /2574 = e^(0.0359x)
1.11693861693862 = e^(0.0359x)
Taking the natural log of both sides, we have:
ln(1.11693861693862) = ln(e^(0.0359x))
0.110591565075382 = 0.0359x
x = 0.110591565075382 / 0.0359
x = 3.0805449881722
Approximating to a whole number, we have:
x = 3
Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
An exponential model can be found when two data points from the model are known.
The total expenditures per household in the year 2008 were near $3,080.
The spending reached $2875 per household in year 2006
(a). Out of-pocket spending in a country for health care given by function, [tex]f(x) = 2574e^{0.0359x}[/tex]
Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.
Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008
[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]
f(5) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b). To determine the year when spending reached $2875 per household
[tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]
Taking natural log on both side
[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]
Since x = 0 corresponds to 2003, So x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
Learn more:
https://brainly.com/question/12375190
HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality
Answer: 0.03$ per container or 3 cents per container.
Step-by-step explanation: 2.70/90=0.03.
Answer:
It's either 0.03 or 2.70
Step-by-step explanation:
x^2-7x+7y-y^2
Factor (pls explain)
Answer: x(x-7)+y(7-y).
X and Y are common factors so you can factor both out and get this.
Select the correct answer.
A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to
finish the season with a 90% winning percentage?
A.12
B.14
C.15
D.27
Answer:
C
Step-by-step explanation:
First find how many games they need to have 90% by multiplying .9(30)=27
then, 15(.8)=12
Then 27-12=15
Answer:
c
Step-by-step explanation:
x delivery persons carry a total of B bags of groceries up the stairs. They can each carry y bags at a time, and they each make 2 trips up the stairs.
Write an equation that relates x, B, and y.
Answer:
B= 2xy
Example:
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs.
The equation relaated to x, B, and y is B= 2xy.
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
2 delivery persons carry a total of 4 bags of groceries up the stairs. they can each carry 1 bag at a time, and they make 2 trips up the stairs. Then the equation is,
B =2xy
Here, B = Total Bags , x = Delivery persons and y = Number of bags.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ5
A jewelry maker is designing a crown. The crown must have at least 45 gems, only using emeralds, rubies, and diamond the number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest numbers of emeralds, x, that can be placed on the crown
Answer:
X is the variable and x means multiplication symbol.
X + (X x 3 - 1) + (X x 3 - 1) - 4) ≥ 45 is the answer I got.
The answer to that inequality would be
X ≥ 7
Step-by-step explanation:
I am not good at math I just tried my best sorr if it is wrong.
Answer:
Diamonds: 20 Emeralds: 1 Rubies: 24
Step-by-step explanation:
45 = Total
Diamonds = 20 (4 less than rubies)
Emeralds = 1 (made into the smallest number)
Rubies = 24 (4 more than diamonds)
Tip! To help find the answer I divided 45 into three groups so the diamonds, emeralds, and rubies all started with 15. I then started to work it into place where diamonds were ALWAYS 4 less than rubies and just kept taking away from emeralds.
<3 Enjoy,
Dea
819 3/10 simplified?
Answer: 819.3
Step-by-step explanation:
Answer:
Exact form: 8193/10 Decimal form: 819.3 Mixed number form: 819 3/10
Step-by-step explanation:
I believe this is the answer idk... UwU
In the triangle shown, the measure of angle A is 65.
B
65°
Choose all of the statements that are sufficient to determine that A ABC is an isosceles triangle.
m2B = 25°
B. MzB = 50
OOOO
C. m C = 65°
D.
AC = 65 units
E. AB = BC = 25 units
SRESET
Cynthia D Moreno, ID#****80
Growth: Math 6+ TX 2012
Question #8
Answer:
B. m<B=50
C. m<C=65
Step-by-step explanation:
We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.
Answer:
B and C
Step-by-step explanation:
I need help with this ASAP!!
Answer:
45
Step-by-step explanation:
Just plug in 12 wherever "z" is so,
[tex]5^2-\frac{12}{3} +2(12)[/tex] simplify the equation ⇒ [tex]25-4+24[/tex]
25-4=21
21+24=45
subtract and add as needed and finally our answer is
45
Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
A.
Cannot tell; the sign depends on the absolute values of the factors.
B.
Negative; if either of the factors is negative, their product is negative.
C.
Negative; if the signs of the two factors are the same, their product is negative.
D.
Positive; if the signs of the two factors are the same, their product is positive.
Answer:
A
Step-by-step explanation:
Answer:
D if the signs of two factors are the same, their product is positive
A rotation by 2520° is how many full rotations?
O 10
O 5
07
O 14
7
a full rotation is 360°
divide 2520 by 360 it gives u 7.
7×360=2520
There are 7 complete rotations at 2520 degrees. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
A rotation by 2520°.
Then the number of the rotations will be
⇒ 2520° / 360°
⇒ 7 rotation
Thus, the correct option is C.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?
Answer:
Mark a s brainliest
Step-by-step explanation:
We are given the set:
P = {2, 3, 5, 7, 11, 13, 17, 19}
The n( ) function of a set is used to find out the number of elements in a set [also known as the cardinality of a set]
To find out the cardinality of a set, we usually count the number of terms in the set but keep in mind that ∅ (null) is an element of every set there is. So, the given set can be re-written as:
P = {∅, 2, 3, 5, 7, 11, 13, 17, 19}
From this, we can clearly see that there are 9 elements in this set
Therefore, the n(P) (cardinality) of this set is 9