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Alexxandr [17]
3 years ago
8

Kenji packed an exercise ball into a cylindrical package. The inflatable exercise ball is made out of vinyl. How much vinyl was

used to make the exercise ball? Express your answer in terms of pi.
Mathematics
1 answer:
Fofino [41]3 years ago
8 0
An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
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astra-53 [7]
SOH CAH TOA
sin is opposite/hypotenuse
cos is Adjacent/hypotenuse
tan is opposite/adjacent
5 0
3 years ago
If p(x)=x2-1 and q(x)=5(x-1 which expression is equivalent to (p-q)(x)
Veseljchak [2.6K]

p(x)=x^2-1\\\\q(x)=5(x-1)\\\\(p-q)(x)=p(x)-q(x)=(x^2-1)-5(x-1)



Answer: (x2 - 1) - 5(x - 1)

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What is the lateral surface area of a rectangular prism with a base of 14, a height of 5 and a base 6?
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3 years ago
Solve the following problem by defining your variables and writing a system of equations:
serious [3.7K]

Answer:

1 donut and a bag of coffee costs $4.50

Step-by-step explanation:

Start by creating a pair of simultaneous equations.

Let x = a donut.

Let y = a bag of coffee.

Therefore:

8x+2y=18

3x+y=7.50

There are a few ways to solve these equations. This time I'll show you the elimination method. We eliminate one of the variables to get the other variable equal to a number.

Start by multiplying one of the equations by a number so that one of the variables has the same coefficient (number at the front) as the same variable in the other equation.

I'll multiply the second equation by 2 so that the y will have a coefficient of 2 like the 1st equation.

2(3x+y)=2(7.50), 6x+2y=15.

Now we have two equations with the same coefficient of y. We can subtract the equations from each other to eliminate the y variable and leave x equal to a number.

Subtracting  8x+2y=18 and 6x+2y=15 :

8x+2y-(6x+2y)=18-(15)

Simplify to get 2x=3.

Therefore x = 1.5.

Now we have one of the variables, we can find the other variable by putting the known variable back into one of the equations.

3x+y=7.50 - original equation

3(1.50)+y=7.50 - substituting x.

4.50 +y=7.50 - simplifying

y=3 - re-arranging to solve for y

Therefore, x=1.5 and y=3.

So 1 donut costs $1.50 and 1 bag of coffee costs $3.

1 donut and a bag of coffee costs $4.50

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What is y=6(-11)to the power of x
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