URGENT If the sine of a certain angle is 12/13, what could the cosine of that angle be?

Mathematics

1 answer:

True [87]3 years ago

7 0

Answer:

5/13

Step-by-step explanation:

Sine is equal to the length of the opposite side divided by the length of the hypotenuse, while cosine is equal to the length of the adjacent side divided by the hypotenuse. Since you know that the opposite side has length 12 and the hypotenuse has length 13, you can use the pythagorean theorem to find that the length of the third (adjacent) side is $\sqrt{13^2-12^2}=5.$ Therefore, the cosine of that angle is 5/13. Hope this helps!

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$