Answer:
6
Step-by-step explanation:
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: 2700
Step-by-step explanation: Lets use the "Simple Interest" expression to find interest.
First, Convert 6% to a decimal, which is 0.06.
I, interest= 7500 x 0.06 x 6
7500 x 0.06 x 6 = 2700
Cheryl will earn $2700 interest.
Answer:
23 of the coins will be quarters
Step-by-step explanation:
Answer:
1/4
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