Answer:
<h2>The cup can hold 240π cubic centimeters of water.</h2>
Step-by-step explanation:
Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.
Solving for 
, we have
Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.
The volume of a cylinder is defined as
Where 
is the radius and 
is the height. Replacing values, we have
Therefore, the cup can hold 240π cubic centimeters of water.
Answer:
<u>y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Step-by-step explanation:
Slope (m) = 5
Y-intercept (b) = 7
Using the equation y=mx+b, you can find m and b to make y=5x+7.
Steps:
(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m
17-12= 5
2-1 = 1
5/1=5
m=5
12=5(1)+b
12=5+b
7=b
17=5(2)+b
17=10+b
7=b
<u>Answer: y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Based on the data displayed in the histogram, the percentage of students who study 2 or more hours for the midterm is 88%.
<h3>What percentage study 2 hours or more?</h3>
First, find the number of students studying:
= 3 + 9 + 6 + 3 + 2 + 1 + 1
= 25
The number of students studying 2 or more hours for the exam are:
= 9 + 6 + 3 + 2 + 1 + 1
= 22 students
The percentage studying for two hours or more is:
= 22 / 25
= 88%
Find out more on percentages at brainly.com/question/25567167.
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Answer:
2. Georgia colony
3. Massachusetts Bay Colony
4. New York
5. Charter of Pennsylvania
6. May 4, 1776
7. Swedes colony
8. Rhode Island colony and Connecticut colony
9. New York
10. Plymouth colony
11. Maryland and Virginia colony were both founded in 1776
12. 1732 - 1215 = 517
Hope this helps, could sure use brainliest after this:)
