60 percent of 264
=(60/100)*264
= (60*264)/100
= 15840/100=158.4
Answer:
Angles in a triangle add up to 180.
ABG - x + 90 + ANGLE AGB = 180
Angles on a straight add up to 180.
CDE - 8x + ANGLE D + 3x = 180
Alterate angles - ATTACHMENT
ANGLE D = x
8x + x + 3x = 180
12x = 180
x = 180/12
<h2>x = 15</h2>
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Since it does not include 0 in the inequality, nor does it include any numbers below 0, it must be

.
Answer:
(x + 1) (3 x^2 + 1)
Step-by-step explanation:
Factor the following:
3 x^3 + 3 x^2 + x + 1
Factor terms by grouping. 3 x^3 + 3 x^2 + x + 1 = (3 x^3 + 3 x^2) + (x + 1) = 3 x^2 (x + 1) + (x + 1):
3 x^2 (x + 1) + (x + 1)
Factor x + 1 from 3 x^2 (x + 1) + (x + 1):
Answer: (x + 1) (3 x^2 + 1)