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lianna [129]
3 years ago
10

Please help with question 15 and 16!!!

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0
15. [4] insufficient information. only given SA
16. There are 3 right triangles, 3 Pythagorean theorem equations 
x²+b²= 16²
12²+a² = x²
a²+4² = b²

combine equations using substitution to get in terms of only x
substitute b² for (a² +x²) in first equation
x²+a²+4²=16²
substitute a² for (x² - 12²)
x²+x²-12²+4² = 16²
solve for x
2x² - 144 + 16 = 256
2x² = 256 + 144 - 16
2x² = 384
x² = 384/2
x² = 192
x = 13.85

rounded to nearest tenth, x = 13.9




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How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?
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The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

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For a minimised volume, we have:

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This means that:

V = L^3

So, we have:

L^3 = 10

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Marta_Voda [28]

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Step-by-step explanation:

6 0
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S_A_V [24]
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A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concretar are needed for the
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This question is incomplete

Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

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For length

1 foot = 12 inches

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Cross Multiply

x = 18 × 12 inches

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Hence,

Volume = 192 inches × 216 inches × 4 inches

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From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

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Therefore, 96 cubic feet of concrete is needed for the floor

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