Answer:
see explanation
Step-by-step explanation:
a² - b² ← is a difference of squares and factors as
= (a - b)(a + b)
Given
9x² - 16 ← a difference of squares
= (3x)² - 4² → with a = 3x and b = 4
= (3x - 4)(3x + 4)
Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
Answer:
37.7
Step-by-step explanation:
Answer:
- Length of the rectangle = 18 m
- Width of the rectangle = 7 m
Step-by-step explanation:
Given:
- Area of the Rectangle = 126 m²
- Length of the rectangle is 4 more than 2 times its width.
To Find:
Solution:
<u>Let's assume :</u>
- Width of the rectangle = x
- Length of the recangle = 2x + 4
We know that,
On Substituting the required values, we get:
Length of the side of the rectangle can't be negative. So, x = 7
Hence,
- Width of the rectangle = x = 7 m
- Length of the rectangle = 2x + 4 = 2(7) + 4 = 18 m
Answer:
0.85
Step-by-step explanation:
6.80 divied by 8