Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:
This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:
Now note we have the exact same expression up and down, thus simplifying:
Answer: 1/4
Answer:
Step-by-step explanation:
4x+27
---- ----
4 4
x=6.75 or x=7
Answer:
I think it might be 56 degrees
FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°
SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β
Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β
Find tan (α - β)
Simplify the denominator
Simplify the numerator
Simplify the fraction
Answer:
what do u need help with
Step-by-step explanation:
