So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA
Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent
*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles
therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:
Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or

it's basically a fancy function of most advanced calculators, so we'll plug it in as:

x = 33.49° --> answer B) is correct
Answer:
-4/5
Step-by-step explanation:
slope = m = (difference in y)/(difference in x) = (-3 - 1)/(3 - (-2)) =-4/5
Answer:F=−20d+1500
Step-by-step explanation:he amount of filling used to make each dumpling is constant, so we're dealing with a linear relationship.
We could write the desired formula in slope-intercept form: F=\greenD md+\maroonD bF=md+b. In this form, \greenD mm gives us the slope of the graph of the function and \maroonD bb gives us the yy-intercept. Our goal is to find the values of \greenD mm and \maroonD bb and substitute them into this formula.
Hint #22 / 3
We know that each dumpling Dominik makes decreases the filling remaining by 2020 grams, so the slope \greenD mm is \greenD{-20}−20, and our function looks like F=\greenD{-20}d+\maroonD bF=−20d+b.
We also know that Dominik has 15001500 grams of filling initially, so the yy-intercept \maroonD{b}b is \maroonD{1500}1500.
Hint #33 / 3
Since \greenD{m}=\greenD{-20}m=−20 and \maroonD{b}=\maroonD{1500}b=1500, the desired formula is:
Answer:
16 Weeks.
Step-by-step explanation:
1050 - 150 = 900.
900 divided by 55 = 16.3.
Round down, because 3 is less than 5.
Therefore, Johnny can spend $55 each week for 16 weeks and have at least $150 left in his account.
Hope this helps.
7417.5 is the total amount of people in that country