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3 years ago

A cylinder has a volume of 628 cubic inches and a radius of 10 inches. What is the height of the cylinder

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

Height of cylinder = 2 inches

Explanation:

If a cylinder has a base radius r and height h, the volume of cylinder is given by the expression, Volume V = πr²h.

Here given that volume of cylinder = 628 cubic inches = 628 inch³

Radius of base circle = 10 inch.

Substituting in the volume of cylinder equation

628 = π x 10² x h

$h= \frac{628}{\pi *10^2} \\ \\ h=2.00 inches$

So , height of cylinder = 2 inches

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Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.

Mrrafil [7]

The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
(20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches.

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3 years ago

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What is the slope of the line that contains the points (4,-1) and (-1,4)

Anna11 [10]

Answer:

the slope is -1

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/ (x2-x1)

= (4--1)/ (-1-4)

= (4+1)/(-5)

= 5/-5

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3 years ago

Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.

xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

$x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1$

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

The answer is the option a.

6 0

4 years ago

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PLEASE HELP ASAP!!!!

musickatia [10]

Let us model this problem with a polynomial function.

Let x = day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.

Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅

Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
| 1 1 1 1 1 | | a₁ | | 42 |
| 2⁴ 2³ 2² 2¹ 2⁰ | | a₂ | | 26 |
| 3⁴ 3³ 3² 3¹ 3⁰ | | a₃ | = | 61 |
| 4⁴ 4³ 4² 4¹ 4⁰ | | a₄ | | 65 |
| 5⁴ 5³ 5² 5¹ 5⁰ | | a₅ | | 56 |

When this matrix equation is solved in the calculator, we obtain
a₁ = 4.1667
a₂ = -55.3333
a₃ = 253.3333
a₄ = -451.1667
a₅ = 291.0000

Test the solution.
y(1) = 42
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56

The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.

Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631

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3 years ago

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A eagle has landed in a tree 50 feet above sea level. Directly below the eagle, a seagull is flying 17 feet above sea level. Dir

Luba_88 [7]

Answer:

As attached

Step-by-step explanation:

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3 years ago