Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'
relate to the area of triangle M?
A- The area of triangle M'is 0.6 times the area of triangle M.
B- The area of triangle M'is 1.2 times the area of triangle M.
C- The area of triangle M'is 1.44 times the area of triangle M.
D- The area of triangle M' is 2.4 times than the area of triangle M.

Answers

Answer 1

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 2

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


Related Questions

Twice a number q minus 1 is less than 5

Answers

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 :)


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.

Answers

First blank 4 —> (4,7)
Second blank 3 —> (-4,3)
Third blank -2 —> (-2,4)
Нцгцоцовьвьвьыщзцщцщу угвшвьвьбвв

x^2-7x+7y-y^2
Factor (pls explain)

Answers

Answer: x(x-7)+y(7-y).

X and Y are common factors so you can factor both out and get this.

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

Answers

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

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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.

Answers

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.

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What is 903 divided by 72?
33 POINTS FOR THIS QUESTION!!

Answers

Answer:

12.5416667

Step-by-step explanation:

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.)

Answers

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.

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I need help with this ASAP!!

Answers

the answer to this would be 45

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

Use the information in the figure. Find m

Answers

Answer:

Its 32

Step-by-step explanation:

you need to get 180 degrees altogether

819 3/10 simplified?

Answers

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

Rewrite the expression by factoring out (y-8).
3y^2(y-8)+7(y-8)

Answers

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).

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If P= {2, 3, 5, 7, 11, 13, 17, 19}, what is n(P)?

Answers

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

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

Answers

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

A rotation by 2520° is how many full rotations?
O 10
O 5
07
O 14

Answers

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.

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SOLVE FOR VARIABLE PLEASE HELPP ASAP!!:)))

Answers

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 :)

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.

Answers

Answer:

A

Step-by-step explanation:

Answer:

D if the signs of two factors are the same, their product is positive

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.

Answers

Answer:

y = 5/2x + 4

Step-by-step explanation:

Midpoint of JK:

x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1

Slope of the line JK:

m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5

Perpendicular 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 = 4

So the equation is:

y = 5/2x + 4

One angle of a parallelogram measures 15º. What are the measures of the other three angles in
the parallelogram?

Answers

Answer:

The opposite angle is 15 degrees. So that leaves you with 330 degrees for the last two sides which is 115 degrees each.

0.0008012 in standard form

Answers

Answer:

Step-by-step explanation:

8.012 x 10^-4

Answer:

8.012×10^-4

Step-by-step explanation:

..............

Pls help....................

Answers

Answer: EGF

Step-by-step explanation:

Estimate 1/3 times 28

Answers

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.

What is 17/40 written as a decimal?

Answers

Answer:

0.425

Step-by-step explanation:

division of 17/40

The answer for this is .425

whats the answer giving brainliest to the c o rect anwers

Answers

Answer:

A

Step-by-step explanation:

9/3 is 3

36-3 is 33

HELP If 90 containers of candy hearts cost $2.70, what is the constant of proportionality

Answers

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:

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?

Answers

Answer:

15 oatmeal cookies.

What compound inequality describes this graph

Answers

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]

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

Answers

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:

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

Answers

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

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

Answers

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 DESPERATELY NEED HELP PLZ ANSWER THESE QUESTIONS I AM TIMED AND DON"T HAVE MUCH TIME LEFT

Answers

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

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