The area of a pentagon increased by 27 is the same as four times the area of the pentagon, minus 15. What is the area of the pentagon?

Answer:

Rectangular prism

I chose a box of cereal.

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

 Describe the shape of the cross-section when the box is cut parallel to the base.

The shape of the cross-section would be a rectangle in dimensions.

20 cm x 8 cm

Part 3)

What is the surface area of the box? 

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box =[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5) 

What is the volume of the box?

volume of the box = L*W*H 20*8*32-5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6) 

What is the volume of the box if it is scaled down by a factor of 1/10?

we know that

the volume of the smaller box =[scale factor]³volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box =[1/10]³*5,120 5.12 cm³

the answer part 6) is

5.12 cm³

The length is 6 in., the width is 2 in., and the height is 16 in.

Answer:

slope is 3 and -1

Step-by-step explanation:

Answer:https: y+3x-8

Step-by-step explanation: first: put your first point at -8

second: then from the point at -8, go up three times, and over to your right one time

now do that however many times you need to

explanation:

- the y-intercept is the initial value which is -8. the line must pass through -8 so you would start your line at -8

- your slope is 3x. slope is  so you rise 3 time and over 1 time

y = -x – 4 -4.0

y-intercept = -4/1 = -4.00000

6 pencils are in 1 pack. & 18 pencils are in 3 packs.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

There are 36 pencils in 6 packs.

Igor wants to know how many pencils are in 1 pack.

i.e. we have to 36/6

                       =6

Elsa wants to know how many pencils are in 3 packs.

i.e. we have to 3*6

                      =18

Hence, 6 pencils are in 1 pack. & 18 pencils are in 3 packs.

To learn more on division click:

brainly.com/question/21416852

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