Answer:
![tan(A) = \frac{3}{4}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Step-by-step explanation:
Given
Right-angled triangle ABC
![b = 8](https://tex.z-dn.net/?f=b%20%3D%208)
Required
Calculated tan(A)
First, we calculate the length of a.
Since the triangle is right-angled at C, then c is the hypotenuse and side a is the opposite of A.
So, we have:
![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
![10^2 = a^2 + 8^2](https://tex.z-dn.net/?f=10%5E2%20%3D%20a%5E2%20%2B%208%5E2)
![100 = a^2 + 64](https://tex.z-dn.net/?f=100%20%3D%20a%5E2%20%2B%2064)
![a^2 = 100 - 64](https://tex.z-dn.net/?f=a%5E2%20%3D%20100%20-%2064)
![a^2 = 36](https://tex.z-dn.net/?f=a%5E2%20%3D%2036)
Take square roots
![a = 6](https://tex.z-dn.net/?f=a%20%3D%206)
So:
![tan(A) = \frac{a}{b}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7Ba%7D%7Bb%7D)
![tan(A) = \frac{6}{8}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B6%7D%7B8%7D)
![tan(A) = \frac{3}{4}](https://tex.z-dn.net/?f=tan%28A%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Answer:
3 1/2
Step-by-step explanation:
Answer:
66, 68, 70
Step-by-step explanation:
68 + 70 = 138
138 - 66 = 72
To work out a number after using a percentage on it, you divide the starting number by 100 to find out 1% of it, then multiply it by the percentage you want to find out (in this case 25%), to get the new number
(56/100)*25 = 14
Answer:
D. 3
Step-by-step explanation:
If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.