All categories

3 years ago

Use the scale factor to find the area of the enlarged figure. Explain your steps.

Mathematics

2 answers:

Travka [436]3 years ago

6 0

Answer:

The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.

Step-by-step explanation:

This is the sample response but I would use the other pearsons answer because it is NOT the sample response.

Have a great day!

Amanda [17]3 years ago

5 0

9514 1404 393

Answer:

327.68 units^2

Step-by-step explanation:

The area of the small figure is ...

area = length · width

area = (8)(4) = 32 . . . . square units

The scale factor is ...

scale factor = large length / small length = 25.6/8 = 3.2

The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:

(32 units^2)(3.2^2) = 327.68 units^2

_____

<em>Additional comment</em>

We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be

length · width = (25.6 units)(12.8 units) = 327.68 units^2

This seems easier to me, but is not the method required by the problem statement.

You might be interested in

The first several terms of a sequence { an } are given. Assume that the pattern continues as indicatedand find an explicit formu

solniwko [45]

Answer:

an = 2 + n

Step-by-step explanation:

The differences between terms are all 1. The first term is 3. The general form of the general term is ...

an = a1 + d(n -1)

Filling in a1 = 3 and d = 1, we have ...

an = 3 + n - 1

an = 2 + n . . . . . . simplify

4 0

4 years ago

Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi

EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.

X-coordinate of vertex = $\frac{-b}{2a}$

Where 'a' is coefficient of $t^{2}$ term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex = $\frac{-80}{2(-16)}$

=-2.5

y-coordinate of vertex = $-16(-2.5)^{2} +80(-2.5)$

Simplify it,

=-100 -200

= -300

So, vertex is at (-2.5, -300).

4 0

3 years ago

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

kari74 [83]

Answer:

Notebook is $4

Thumb drive is $23

Step-by-step explanation:

Let notebooks be x and thumb drives be y

6x+7y=$185

14x+12y=$332

These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain

42x+49y=$1295

42x+36y=$996

Subtracting the third equation from the fourth

996-1295=-$299

(36-49)y=-23y

-23y=-$299

y=$299/13=$23

To get the value of x, we substitute the value of y into the first equation

6x+(7*23)=$185

6x=$185-$161

6x=$24

x=$4

Therefore, price of notebook is $4, price of thumb drive is $23

4 0

4 years ago

Select two prime numbers that have a sum of 18.

AURORKA [14]

Step-by-step explanation:

option e.5,13

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

6 0

3 years ago

Diego‘s mother is twice as old as he is. She is also as old as the sum of the ages of Diego and both of his younger twin brother

Pavel [41]

Diego's age is 22
And his mother's age is 42

5 0

3 years ago