Answer:
67 degrees (Answer 2)
Step-by-step explanation:
These two angles must sum up to 180 degreess because they are supplementary. Then:
7x + 11 + 14x + 1 = 180, or
21x + 12 = 180, or
21x = 168
Solving for x, we divide both sides by 21. This results in x = 8.
The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).
Answer:
2,000 feet cubed
Step-by-step explanation:
To find volume, you use the formula Length x Width x Height. When you plug in the numbers from this equation into that formula you get 10 x 20 x 10. 10 x 20 x 10 = 2,000.
535 centimeters because of the decimal places
The length of pendulum is 2.485 feet
<h3><u><em>
Solution:</em></u></h3>
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>

We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"

Substitute T = 1.75 seconds and 

Thus length of pendulum is 2.485 feet approximately
The correct equation is:

The volume of second cylinder is 256 centimeter cubed
<em><u>Solution:</u></em>
Given that,
One cylinder has a volume that is 8cm less than 7/8 of the volume of a second cylinder
The first cylinder’s volume is 216 centimeter cubed
From given,
Let "x" be the volume of second cylinder
Therefore,
Volume of first cylinder = 7/8 of the volume of a second cylinder - 8


Thus the volume of second cylinder is 256 centimeter cubed