In right triangle ABC, m angle C equals 90 degree. If sin A equals 24 over 25, which function also equals 24 over 25?

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

7 0

Answer:

cos B

Step-by-step explanation:

Let us take a look at angle B

The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25

The relationship between the adjacent and the hypotenuse can be mapped our using the cosine

So, the cosine is the ratio between the adjacent and the hypotenuse

Hence, cos B = 24/25

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A delivery truck is transporting boxes of two size: the combined weight of a large box and a small box is 65 pounds. The truck i

Bas_tet [7]

pretty much about the same as before.

a = weight of a large box

b = weight of a small box.

we know their combined weight is 65 lbs, thus a + b = 65.

we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

$\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft$