Answer:
A
Step-by-step explanation:
Since cosine is positive and sine is negative that puts θ in Quad IV.
From right triangles we know:
Cos θ = adjacent/hypotenuse = 5/13
sin θ = opposite/hypotenuse = ?/13
To find the opposite side across from θ use the pythagorean theorem.
5² + y² = 13²
25 + y² = 169
y² = 144
y = 12
we are given that sin is < 0 so sinθ = -12/13
Answer:
16/4
Step-by-step explanation:
BRAINLIEST?!
Answer:
63/2
Step-by-step explanation:
Hope this helps ^-^
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
![\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D3%5E2%2B4%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B9%2B16%7D%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5%20%5Cend%7Bgathered%7D)
Answer:
2. y = 7/2 x -2
3. y = 3/4x-1
Step-by-step explanation:
points (0,-2) (4,12)
slope = (y2-y1)/(x2-x1)
slope = (12--2)/(4-0)
= (12+2)/4
= 14/4 = 7/2
the slope is 7/2 and the y intercept is -2
y = mx+b
y = 7/2 x -2
points (0,-1) (4,2)
slope = (y2-y1)/(x2-x1)
slope = (2--1)/(4-0)
= (2+1)/4
= 3/4
the slope is 3/4 and the y intercept is -1
y = mx+b
y = 3/4x-1
