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:
Step-by-step explanation:
The ratio of the hypotenuse is answer D
Volume of the prism is given by:
V=(base area)*(height)
thus:
base area=1/2(a+b)*h
=1/2(1.4+0.6)*2
=2 m²
Thus the volume will be:
V=2*1
V=2 m³
Volume after 30 min:
V=2×(0.8)
V=1.6 m³
Rate of emptying the tank is:
(2-1.6)/30=1/ 75 m³/min
time taken to empty the tank:
time=volume/rate
time=2/(1/75)
=150 min
Slope intercept is y=mx+b
the whole purpose is to isolate the Y.
you need to subtract 4x from both sides, and then do the equation that is left on the right side of the equals sign
