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9. Find the area of a circle having a circumference of 382. Round to the nearest tenth. Use 3.14 for 1. a. 1133.5 units b. 1078.6

1. samjohnson2383 says:

5.12 cm³

Step-by-step explanation:

I chose a box of cereal> rectangular prism

see the attached figure

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 of 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

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

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

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

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

5.12 cm³

3. the surface area is 2,112 cm²

4. 211,200 cm²

5. 5,120 cm³

6. 5.12 cm³

2. pilararcos says:

Option B.

Explanation:

Δ STEPS TO SOLVE Δ

║$325 budget ║Price →$8 per T-shirt + $45 delivery charge ║8x + 45 = 325 ║x = 35 ⇒ With$325, you can purchase 35 T-shirts or less.

Option A is incorrect, because the point starts at 45 T-shirts and decreases.Option B is correct, because the point starts at 35 T-shirts and decreases.Option C is incorrect, because the point starts at 45 T-shirts and increases.Option D is incorrect, because the point starts at 40 T-shirts and increases.