0.09 is a rational number
Answer:
27=x
Step-by-step explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
--------- = ------------
10 14
Using cross products
14(x+8) = 10 (2x-5)
Distribute
14x +112 = 20x -50
Subtract 14x from each side
14x-14x +112 = 20x-14x -50
112 = 6x-50
Add 50 to each side
112+50 = 6x-50+50
162 = 6x
Divide by 6
162/6 = 6x/6
27=x
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.
Answer:
(x - 2)/3
(x - 4)/-5 or (-x + 4)/5
Step-by-step explanation:
this is an inverse function, and to solve an inverse function you would :
swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it
the first question's answer is :
g(x) = 3x + 2
x = 3(g(x)) + 2
x - 2 = 3(g(x))
(x - 2)/3 = g(x)
the second one is:
g(x) = 4 - 5x
x = 4 - 5(g(x))
x - 4 = -5(g(x))
(x-4)/-5 = g(x)
Answer:
D
Step-by-step explanation:
Please refer to the attachment below.
We have a 30-60-90 triangle.
Hence, the ratios of the sides will be related as shown in the triangle below.
Let’s determine the value of x. In a 30-60-90 triangle, the hypotenuse is 2x.
Here, our hypotenuse is 10.
Then it follows that:

The side opposite to ∠A (60) is CB.
And it is x√3.
Hence, CB is 5√3.
The side opposite to ∠B (30) is AC.
And it is x.
Hence, AC is 5.
Therefore, AC is 5 while BC is 5√3.
Hence, our answer is D.