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:
brainly.com/question/17056960
#SPJ1
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Answer:
x x x c. c c c c d sbsbbdbcbdbcbbxbcbcbbvbbcbvbcbcbcnc
Distribute the 32 to the 4x and -2, so you have 128x-64-3x=5-(x+2), then you distribute the “-“ sign to x and 2 so on the right you have 5-x-2. All together you have 128x-64-3x=5-x-2. Combine like terms on both sides so you have 125x-64=-x+3. Add 64 to both sides so you got 125x=-x+67. Also add x on both sides, so your final equation is 126x=67. This doesn’t come out to an even number but it’s ok, your answer in decimal is about 0.532 rounded to the thousandths and if you want a fraction it’s simply 67/126. I’m sorry if this answer isn’t correct I did this in my head.