<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides of the equation by 8, we get;

Simplifying, we get;


Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answer:
2nd one i think
Step-by-step explanation:
Given:
The terminal point of
is (1,0).
To find:
The value of
.
Solution:
If the terminal point of
is (x,y), then

It is given that the terminal point of
is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get


Therefore, the value of
is 0.
Answer:
B
Step-by-step explanation:
Use the pythagorean theorem to find the hypotenuse. You can do this by squaring 12 and 11 (separately) and then adding those together. You'll get 265. However, since this is c squared and not c, you have to find the square root for the correct answer. The square root of 265 is approximately 16.28. Hope this helps!
Answer: 1. 2rs is 2 . r . s = 2rs 2. 18rst is 2 . 3 . 3 r. s. t = 18rst
3. 25ab is 5 . 5 a . b = 25ab 4. 30abc is 2 . 3 . 5 a . b . c= 30abc 5. 45abr is 3 . 3 . 5 . a . b . r
Step-by-step explanation: 2. 18rst is 2 . 3 . 3 . r . s . t because 2 x 3 = 6 x 3 = 18rst.
3. 25ab is 5 . 5 a . b because 5 x 5 = 25ab
4. 30abc is 2 . 3 . 5 a . b because 2 x 3 = 6 x 5 = 30abc.
5. 45abr is 3 . 3 . 5 . a . b . r because 3 x 3 = 9 x 5 = 45abr.
Hope this works! :) If not, I am sorry :(. If it does, Your Welcome! :)