Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume:
107 = 7 -2 (7b - 1)
First, distribute -2 to all terms within the parenthesis
-2(7b - 1) = -14b + 2
107 = 7 -14b + 2
Combine like terms
107 = -14b (+7 + 2)
107 = -14b + 9
Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Subtract 9 from both sides
107 (-9) = -14b + 9 (-9)
107 - 9 = -14b
98 = -14b
Isolate the b. Divide -14 from both sides
(98)/-14 = (-14b)/-14
98/-14 = b
b = −7
-7 is your answer
hope this helps
Answer:
y=7-(8/5)x
Step-by-step explanation:
To solve for y we need to get Y on one side of the equation all by itself. To start we can move the 8x to the side with the 35 by subtracting 8x on both sides which gets us to 5y=35-8x then we just need to get the 5 detached from the y and we will have solved for Y. To do this we can divide by 5 on both sides to cancel out the 5 with the Y which leaves us with y=7-(8/5)x
I hope this helps and please don't hesitate to ask if there is anything still unclear!
Answer:
I do not know this answer. Ask "tofu0"
Step-by-step explanation:
If you need anymore help ask, Brainly. Have a nice day!
No The people in a football game would not be a random sample from the school