Answer:
12.8 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angles and sides of a right triangle. Here, you have the side opposite the given 70° angle, and you want to find the hypotenuse. The appropriate relation is ...
Sin = Opposite/Hypotenuse
Solving for the hypotenuse, we get ...
Hypotenuse = Opposite/Sin
x = (12 cm)/sin(70°) ≈ 12.77 cm
x ≈ 12.8 cm
y = -2x - 3
-- The y-intercept is the point where the graph crosses
the y-axis. But x=0 everywhere on the y-axis, so
y = -2(0) - 3
y = - 3 .
-- The x-intercept is the point where the graph crosses
the x-axis. But y=0 everywhere on the x-axis, so
0 = -2x - 3
Add 2x to each side: 2x = -3
Divide each side by 2: x = -3/2 .
10 / 2 = 5
16 / 2 = 8
The equivalent ratio is 5:8
With the first job she’ll make a little over the $3,800 a month & have a higher annual salary. With the second job she’ll make a little under $3,800 a month & will have a $44,160 annual salary. She should chose the first job because she’ll be making more money annually & monthly
