Answer:
Non fiction : Total number of books
= 14 : 42
= 1:3
Step-by-step explanation:
Total number of books = 42 books
Non fiction books = 14 books
The ratio of the number of non-fiction books to the total number of books is :
Non fiction : Total number of books
= 14 : 42
Further simplified
= 1:3
Answer:
6 m
Step-by-step explanation:

Assuming that x is equal to weekday shows and y is equal to weekend shows, the band will exceed their goal by $150.
To find this, we need to plug 15 in for x and 6 in for y. Then we need to evaluate the equation.
R = 50x + 150y
R = 50(15) + 150(6)
R = 750 + 900
R = 1650
Therefore, we know that they exceeded their goal by $150 by getting the total of $1650.
Answer:
H = 12
Step-by-step explanation:
Add the angles, 54 + 63 + 5h + 3 = 180
simplify into 120 + 5h = 180
5h = 60
h = 12
The length of one side is 12√3.
We know that the area of a triangle is given by the formula:
A=1/2(b)(h)
We can substitute the area in:
108√3 = 1/2(b)(h)
Let b be the side of the equilateral triangle. To find the height, we will use the Pythagorean theorem. We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b). Since the triangle is equilateral, we will call the hypotenuse b as well. We now have:

We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²
Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²
Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²
Take the square root of both sides:
√432=√b²
Simplifying the radical, we have 12√3.