The value of x = 24
Step-by-step explanation:
The proportion is set as ;

Applying cross product
9*16=6*x
144=6x --------simplify by dividing by 6 both sides
144/6 = 6x/6
24=x
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Proportion in Enlargement : brainly.com/question/9930004
Keywords : proportion, enlargement ,triangles, cross products
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Using relations in a right triangle, it is found that:
tan(A) = 3/4 = 0.75.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this triangle:
- The adjacent side to A has length 40.
- The opposite side to A has length 30.
Hence the tangent of A is:
tan(A) = 30/40 = 3/4 = 0.75.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
The standard deviation for the number of students who work full time = 8.38
Step-by-step explanation:
Given data
Sample size n = 284
No. of students work full time is P = 55 % = 0.55
No. of students who not work full time is Q = 100- 55 % = 45 % = 0.45
The standard deviation is given by

Put all the values in above equation we get

S.D. = 8.38
This is the standard deviation for the number of students who work full time.
I think the correct answer is C. 0.2*10^5