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:
17.76 pounds
Step-by-step explanation:
The first thing we have to do is resort to the normal distribution table (attached image).
To find the smallest annual per capita consumption of ice cream that can be in the top 25% of consumption, we must find when the probability of z is equal to = 1 - 0.25 = 0.75
Find the z value when the probability 75%, i.e .:
z = invNorm (0.75) = approximately 0.675
To find the value, we apply the following formula:
x = z * sd + m
where sd is the standard deviation 3.5 and m the mean that is 15.4, knowing these values, we replace:
x = 0.675 * 3.5 + 15.4
x = 17.76
That is, the smallest annual consumption under these conditions is 17.76 pounds.
Answer:
. 24 meters
b. 32 meters
i guarantee 100%. i got this question right :)
Step-by-step explanation:
i had yhe same question didnt get results back but this is waht io got