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almond37 [142]
3 years ago
11

1. What is the value of H? (1 point)A. 4B. 8√3C. 16D. 8√2​

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle

noting that sin45° = \frac{1}{\sqrt{2} } ← exact value

sin45° = \frac{opposite}{hypotenuse} = \frac{8}{h}

Multiply both sides by h, then

h ×\frac{1}{\sqrt{2} } = 8

Multiply both sides by \sqrt{2}

h = 8\sqrt{2} → D

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Let
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y-------> the height of the box

we know that
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b=x
h=y
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so
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<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

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substitute equation 1 in equation 2
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step 1 
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y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

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Answer:

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