Answer:
4( b+3) + 2 (b + 5)
4b+12+2b+10
6b+22
Step-by-step explanation:
Answer:
The measure of the complement is 30°
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Two angles are complementary if their sum is equal to 90 degrees
Let
x -----> the measure of an angle
we know that
180°-x=4(90°-x)
Solve for x
180°-x=360°-4x
4x-x=360°-180°
3x=180°
x=60°
Find the complement
90°-x=90°-60°=30°
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
Answer:
I think its 5/6
Step-by-step explanation:
♥ I hope it helps ♥