Answer:
a=1/2
Step-by-step explanation:
From the question, the expression a(8x+7) is equivalent to 4x+3.5
Which means that multiplying 8x by a gives 4x and multiplying 7 by a gives 3.5
So, we can write the following to find the value of a
we can write the following
8ax=4x
Hence the value of a is 1/2
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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The slopes of parallel lines are exactly the same.
The experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.
<h3>
What is Experimental Probability?</h3>
Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.
Here , Favorable Outcome = 19
Total outcomes = 20
Probability = Favorable Outcome/ Total Outcome
= 19 / 20
= 95%
Thus, the experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.
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Answer:
4 and 8
Step-by-step explanation:
The square of 4 is 16 and the square of 8 is 64.
16 + 64 = 80
