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.
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Answer:
No. the slope is -2/3
Step-by-step explanation:
Count the spaces from one point (-3, 1) to (0, -1)
1 -(-1) / -3 - 0
- 2/3
Answer:
Step-by-step explanation:
You'll use similar triangles to solve this. Set up 2 ratios as a proportion. First, however, you have to convert the 15 inches to feet. If everything else is in feet, then EVERYTHING has to be in feet. 15 inches is equal to 1.25 feet. Now for the equation:

The first fraction is made up of the heights, 3 being the height of the plumb bob and x being our unknown height of the flagpole; the second fraction is made up of the distances on the ground. Cross multiply to solve:
1.25x = 18 so
x = 14.4 feet, or 14 feet, 4.8 inches
Answer:
None of these
Step-by-step explanation:
See attached image