Answer:
14
Step-by-step explanation:
Substitute the given values for a and b into the expression and evaluate
a + b = 43 + (- 29) = 43 - 29 = 14
The value of cos(A+B) is 36/325.
<h3>What is Trigonometry?</h3>
The branch of mathematics concerned with specific functions of angles and their application to calculations.
Given:
cos(A)=−5/13
sin(B)=7/25
Now Using identity,
sin²A + cos² A= 1
sin A= √1 - cos² A
sin A = √1- 25/169
sin A= √144/169
sin A= 12/13
Again,
sin²B + cos² B= 1
cos B= √1 - sin² B
cos B = √1- 49/625
cos B= √576/625
cos B= -24/25
Now,
cos (A +B) = cos A cos B - sin A sin B.
= -5/13* (-24/25) - 12/13* 7/25
= 120/325 - 84/325
= 36/325
Hence, the value of cos (A + B) is 36/325.
Learn more about this concept here:
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Answer:
x = 21
Step-by-step explanation:
5x + 18 = 7x - 24
=> 5x - 7x = - 24 - 18
=> -2x = - 42
=> x = -42 / -2
=> x = 21
Hope it helps :)
Please mark my answer as the brainliest
Answer:
7A. x = 6
7B. m∠ABC = 135°
Step-by-step explanation:
7A. I forget what the rule is called specifically, but the opposite angle is always congruent. So, you simply end up solving for x when you set the equation to equal 45.
7B. Use the supplementary rule, which basically states that two angles on a flat plane, when adjacent, equal 180°. So, 180 - 45 = 135.
God, my terminology is awful, but that's besides the point.
Answer:
Sorry, it's gonna be 0.97, and you just add 0.12 to 0.25 7 times. This is the right answer.
Step-by-step explanation:
