Answer:
to find the answer, you need to find the measure of the angle on the other side of the 142. and since it's a straight line, those two angles measures are =to 180 (they're supplementary angles). so the measure of that angle is 38 degrees. to find the measure of the remaining angle, you subtract the angle measures you already know from 180 (because the sum of interior angles in a triangle is 180.) to, the answer is:
180-90-38= 52 degrees or A
We can see that both expressions, 9 times 3 and 9 times 8, have a common number of 9. We can take that number out, and we can combine 3 and 8 together. This gives us the expression 9(3 + 8). Therefore, the expression <span>(9×3)+(9×8) expressed as the distributive property is 9(3 +8), both totaling to 99. Hope this helped and have a fabulous day!</span>
Answer:

Step-by-step explanation:
The average speed of the Erin is 120/16 mph
Here,
Numerator = 120
Denominator = 16
mph = miles per hour
We need to find an expression expressed as a decimal.
So,

So, the final answer is
.
Answer:
7.92 cubic units
Step-by-step explanation:
The volume formed is V = ∫πx²dy
Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1
So, V = ∫₀¹πx²dy
= ∫₀¹π[ ∛(4y)]²dy
= π(∛4)²∫₀¹[ ∛(y]²dy
= π(∛4)²∫₀¹y^³/₂dy
= π(∛4)²[y^⁵/₂]₀¹
= π(∛4)²[1^⁵/₂ - 0^⁵/₂]
= π(∛4)²[1 - 0]
= π(∛4)²
= 7.92 cubic units
Answer:
10000 cm cubed
Step-by-step explanation:
The surface area of the present is 25 times 20 times 20 which equals 10000 cm cubed.