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shtirl [24]
3 years ago
11

the base is a 30-60-90 triangle with a hypotenuse of 10 m. the height of the prism is 15 m . find the volume to the nearest tent

h.
Mathematics
1 answer:
krek1111 [17]3 years ago
4 0
First we look for the area of the base of the prism:
 A = (1/2) * (b) * (h)
 Where,
 b: base of the triangle
 h: height of the triangle
 For the base we have:
 b = 10 * sine (30)
 b = 5
 For the height we have:
 h = 10 * sine (60)
 h = 8.7
 Substituting we have:
 A = (1/2) * (5) * (8.7)
 A = 21.75
 The prism volume will be:
 V = A * H
 Where,
 H: prism height
 V = (21.75) * (15)
 V = 326.25
 Round to the nearest tenth:
 V = 326.3 m ^ 3
 Answer:
 
the volume is:
 
V = 326.3 m ^ 3
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castortr0y [4]
Y = ax + b;

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4 0
3 years ago
The entrance hall in Black's family house has a perimeter of 71 2/3 ft.IF it is 9 2/5 ft wide, how long is it?
serious [3.7K]

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

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l = 26 13/30

Therefore, the length is 26 13/30ft

3 0
3 years ago
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8_murik_8 [283]
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Hope this helps!
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3 years ago
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