Answer: 1200 cubic inches
Step-by-step explanation: volume = L x W x H
The side opposite the 30o angle is 1/2 W. That is just a property of a 30 - 60 - 90 triangle. Use that fact to set up the pythagorean relationship.
w^2 = (1/2 w)^2 + (7 * sqrt(3)) ^2
w^2 = 1/4 w^2 + 49*3
w^2 = 1/4 w^2 + 147
3/4 w^2 = 147
w^2 = 147 * 4/3
w^2 = 49 * 4 = 196
w = sqrt (196)
w = 14
Answer:
y = 68 degrees
Step-by-step explanation:
Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8
If one of the angles is y-8, then the rest are y-8 too
mathematically, by adding all , we have a total of 180
Thus;
3(y-8) = 180
y-8 = 180/3
y-8 = 60
y = 60+8
y = 68 degrees
5y = -3x + 7
y = -3/5x + 7/5
Parallel = same slope
y = -3/5x + b
3 = -3/5 + b, b = 18/5
Standard form: Ax + By = C
y = -3/5x + 18/5
-3/5x - y = -18/5
Multiply by -5
Solution: 3x + 5y = 18
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