Krispy krunch cereal is 49% sugar. About how many ounces of sugar are in 16 ounce box of krispy krunch?
1 answer:
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We're being asked to find the values of y for ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20)
for specific values of x. Basically, we are taking the cube roots of these numbers.
![r(-2.197) = \sqrt[3]{-2.197} = -1.3\\\\ r(-1.331) = \sqrt[3]{-1.331} = -1.1\\\\ r(0) = \sqrt[3]{0} = 0 \\\\ r(1.331) = \sqrt[3]{1.331} = 1.1\\\\r(2.197) = \sqrt[3]{2.197} = 1.3\\\\r(-3.375) = \sqrt[3]{-3.375} = 1.5\\\\r(4.913) = \sqrt[3]{4.913} = 1.7\\\\](https://tex.z-dn.net/?f=r%28-2.197%29%20%3D%20%5Csqrt%5B3%5D%7B-2.197%7D%20%3D%20-1.3%5C%5C%5C%5C%20r%28-1.331%29%20%3D%20%5Csqrt%5B3%5D%7B-1.331%7D%20%3D%20-1.1%5C%5C%5C%5C%20r%280%29%20%3D%20%5Csqrt%5B3%5D%7B0%7D%20%3D%200%20%5C%5C%5C%5C%20r%281.331%29%20%3D%20%5Csqrt%5B3%5D%7B1.331%7D%20%3D%201.1%5C%5C%5C%5Cr%282.197%29%20%3D%20%5Csqrt%5B3%5D%7B2.197%7D%20%3D%201.3%5C%5C%5C%5Cr%28-3.375%29%20%3D%20%5Csqrt%5B3%5D%7B-3.375%7D%20%3D%201.5%5C%5C%5C%5Cr%284.913%29%20%3D%20%5Csqrt%5B3%5D%7B4.913%7D%20%3D%201.7%5C%5C%5C%5C)
Trigonometric ratios are useful in calculating the side lengths of a triangle.
- The length of the zip line is 222.5 ft
- The height where the ladder rests against the tree is 38.6 ft
- The distance between the base of the ladder and that of the tree is 10.4 ft
- The distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u>(a) Length, z</u>
First we calculate (h) using the following sine ratio
Make h the subject
Next, we calculate (z) using the following sine ratio
Make z the subject
Substitute
Hence, the length of the zip line is 222.5 ft
<u>(b) The height, h</u>
In (a), we have
Evaluate
Hence, the height where the ladder rests against the tree is 38.6 ft
<u />
<u>(c) The distance, b</u>
To do this, we make use of the following sine ratio
Make b the subject
Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
<u />
<u>(d) Distance, B</u>
To do this, we make use of the following sine ratio
Make B the subject
Substitute
Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
<u />
Read more about trigonometry ratios at: