Answer:
perimeter = 6w + 5 units
Explanation:
Perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)
We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2
Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5
Hope this helps :)
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Answer:
θ =
°
Step-by-step explanation:
using the <u>SOHCAHTOA </u>method,
Here hypotenuse is 38, adjacent is 9
Using cosine formula:
![cos(x ) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cos%28x%20%29%20%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
![cos(x) = \frac{9}{38}](https://tex.z-dn.net/?f=cos%28x%29%20%3D%20%5Cfrac%7B9%7D%7B38%7D)
![x = cos^{-1} (\frac{9}{38} )](https://tex.z-dn.net/?f=x%20%3D%20cos%5E%7B-1%7D%20%28%5Cfrac%7B9%7D%7B38%7D%20%29)
°
Answer:
sin Ф = -1 and cos Ф = 0
Step-by-step explanation:
If the angle is -pi/2 (or -90 degrees), then the radius must be 1 and the opposite (vertical) side -1. The horizontal (adjacent) side is 0.
Thus, the sine of this angle is opp/hyp = -1.
The cosine is adj/hyp = 0.