Here is the answers for the first one
Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer:
Step-by-step explanation:
Given
So:
--- May
--- June
Required
Express as a function
Start by calculating the slope (m)
Simplify
The equation is:
Take LCM
Answer:
Each hat is $5
Each mask is $3
Step-by-step explanation:
Hat= x dollars
Mask= y dollars
Now,
3 hats and 4 mask sold = $27
We can write
3x + 4y = 27
Adding the second equation (-1 times 1st equation) gives us;
3x + 6y = 33
-1* (3x + 4y = 27)
3x + 6y = 33
-3x -4y = 27
2y = 6
y = 6/2
***y = 3***
Now we replace y= 3 into 1st equation and solve for x:
3x + 4y = 27
3x + 4(3) = 27
3x + 12 = 27
3x + 15
x = 15/3
***x= 5***
Each hat costs $5
Each mask costs $3
