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3 years ago

Which two-dimensional shapes are needed to build the pentagonal prism shown below?

Mathematics

2 answers:

maksim [4K]3 years ago

5 0

The two-dimensional shapes needed to build the pentagonal prism are 2 pentagons and 5 rectangles.

It has 2 congruent cross-sections that are pentagons, the other 5 faces are rectangles.

Allushta [10]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

2 pentagons and 5 rectangles are needed to build this pentagonal prism!

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1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2) Solve for x

luda_lava [24]

Answer:

x=19/10

Step-by-step explanation:

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2 years ago

Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work

Sergio039 [100]

1) we calculate the portion of pool cleaned by Anita in a hour.
1 pool cleaned-----------------8 hour
x-----------------------------------1 hour

x=(1 pool cleaned * 1 hour) / 8 hour=1/8 portion cleaned.

2) we calculate the portion of pool cleaned by Chao in a hour.
1 pool cleaned-----------------6 hour
x-----------------------------------1 hour

x=(1 pool cleaned * 1 hour) / 6 hour=1/6 portion cleaned.

3) we can suggest this equation:
x=number of hour

x(1/8+1/6)=1

(number of hour)*(portion of pool cleaned by Anita in a hour + portion of pool cleaned by Chao in a hour)=1 pool cleaned.

4) we solve this equation:
x(1/8 + 1/6 )=1

1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24

x(7/24)=1
x=(1*24)/7
x=24/7≈3.43 (3 hours, 25 minutes, 43 seconds)

Answer:together they cleaned the pool in 3 hours, 25 minutes and 43 seconds.

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3 years ago

Calculate the total budget and then fill in the missing percentages (to the nearest tenth). Item $ % Contributions $175.76 Housi

Alik [6]

Answer:

Total Budget = 1,116

Contributions = 175.76/1,116 = 15.8%

Housing = 350.84/1,116 = 31.4%

Transportation = 50/1,116 = 4.5%

Clothing = 30/1,116 = 2.7%

Medical expenses = 35/1,116 = 3.1%

Food = 200/1,116 = 17.9%

Taxes = 106.40/1,116 = 9.5%

Miscellaneous = 168/1,116 = 15.1%

Step-by-step explanation:

Let's calculate the total budget and the percentages (to the nearest tenth).

Total Budget = 175.76 + 350.84 + 50 + 30 + 35 + 200 + 106.40 + 168

Total Budget = 1,116

Contributions = 175.76/1,116 = 15.8%

Housing = 350.84/1,116 = 31.4%

Transportation = 50/1,116 = 4.5%

Clothing = 30/1,116 = 2.7%

Medical expenses = 35/1,116 = 2.7%

Food = 200/1,116 = 17.9%

Taxes = 106.40/1,116 = 9.5%

Miscellaneous = 168/1,116 = 15.1%

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