We are given
![tan(A)=\frac{7}{24}](https://tex.z-dn.net/?f=%20tan%28A%29%3D%5Cfrac%7B7%7D%7B24%7D%20%20)
we know that
![tan(A)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20tan%28A%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%20)
so, we get
opposite =7
adjacent=24
now, we can find hypotenuse
![hypotenuse=\sqrt{7^2+24^2}](https://tex.z-dn.net/?f=%20hypotenuse%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%20%20)
![hypotenuse=25](https://tex.z-dn.net/?f=%20hypotenuse%3D25%20)
now, we can draw triangle and then switch vertices accordingly
we can find cos(B) using second triangle
![cos(B)=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20cos%28B%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%20)
In second triangle:
adjacent=7
hypotenuse =25
so, we get
................Answer
Answer:
Step-by-step explanation:
10 pound of apple Sells and 20 pound of Raspberry sells
Step 1 Find the least common denominator
Step 2 Find the equivalent fractions
Step 3 Add or subtract the whole numbers
Step 4 write your answer in lowest terms
Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,
![\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18%5Csqrt%7B14%7D%7D%3D%20%5Cfrac%7B18%5Csqrt%7B14%7D%7D%7B56%7D)
56x = (18√14)²
56x = 4536
x = ![\frac{4536}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B4536%7D%7B56%7D)
x = 81
2). By applying geometric mean theorem,
![\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B8%5Csqrt%7B21%7D%7D%3D%20%5Cfrac%7B8%5Csqrt%7B21%7D%20%7D%7B16%7D)
16x = (8√21)²
16x = 1344
x = ![\frac{1344}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1344%7D%7B16%7D)
x = 84