Answer: x < -1
Step-by-step explanation:
-5x-15>10+20x
-5x-15-20x>10'-25x-15>10
-25x-15>10
-25x>10+15
-25x>25
x < 25 / -25
=
x < -1
If we take the angle 60° as the angle from the ground to the beam and let x be the distance from the base of the billboard to the bottom of the brace, the trigonometric equation which would best represent the scenario is,
x = (20 ft) (cos 60°)
x = 10 ft
Thus, the distance from the base of the billboard to the bottom end of the brace is 10 ft.
It's equal multiple of 4 and 13
LCM = 4*13 = 52
Answer:
2 a^3 b ^3/4 * 3^1/2
2 a^3 b ^3/4 9^ 1/4
Step-by-step explanation:
(144 a^12 b^3) ^ (1/4)
Rewriting
12 ^2 ^1/4 a^12^1/4 b^3^1/4
We know a^b^c = a^ (b*c)
12 ^ 1/2 a^3 b^3/4
(4*3) ^ 1/2 a^3 b^3/4
We know (ab)^c = a^c * b^c
4^1/2 * 3^1/2
2 a^3 b ^3/4 * 3^1/2
Rewriting 3 as 9 ^ 1/4
2 a^3 b ^3/4 9^ 1/4
Given expression:
To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
When 2/10 is simplified in lowest terms, we get;
Therefore, 0.8 - 0.6 in fraction form is 1/5.