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guajiro [1.7K]
3 years ago
9

Melvin is building a castle with a series of towers out of blocks. Each tower has twice as many blocks as the previous tower, an

d then 3 more. If the first tower has x^2+2x+3 blocks in it, and Melvin builds 5 towers in all, how many blocks will he have used in total?
Mathematics
1 answer:
Aneli [31]3 years ago
8 0
X^2+2x+3+2(x^2+2x+3)+3+4(x^2+2x+3)+6+8(x^2+2x+3)+9+16(<span>x^2+2x+3)+12
add that up  and you will get your answer and you get </span><span>31x²+62x+123</span>
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Answer: Approximately 8.49 feet

==================================================

Explanation:

Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.

Refer to the diagram below.

We'll use the sine rule to find x

sin(angle) = opposite/hypotenuse

sin(45) = x/12

12*sin(45) = x

x = 12*sin(45)

x = 8.48528137423857

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This value is approximate.

Make sure your calculator is in degree mode.

I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.

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3 years ago
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What principal amount will grow to $300 if invested at 6.5 compounded weekly for 4 years
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Answer:o find amount we use formula:


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4 0
4 years ago
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