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Kamila [148]
3 years ago
10

What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0
Volume of a cone: 1/3\pir²h
r is the radius (diameter ÷ 2) and h is the height.

Find the radius first using the diameter: 2\frac{1} {2} ÷ 2 = 1.25

Now plug in the numbers into the formula.

1/3\pi1.25²10 = <span>16.4
</span>
The volume of the cone is 16.4 cubic feet.
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Solve the system of equations using substitution or elimination. Show all work for credit.
Tomtit [17]
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
y =  \frac{ -  \frac{1}{2} x + 2}{3}  \\ y =  - x + 9

Since both expressions are equal to y, you have to equal both expressions like this:
\frac{  - \frac{ 1}{2}x + 2 }{3}  =  - x + 9
Now you can solve the equation:
-  \frac{1}{2} x + 2 = 3( - x + 9) \\   - \frac{ 1}{2}x  + 2 =  - 3x + 27 \\  \\  -  \frac{1}{2} x + 3x = 27 - 2 \\   \frac{5}{2} x = 25 \\ x =  \frac{(25)(2)}{5}  \\ x = 10
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

y =  - (10) + 9 \\ y =  - 1
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4 years ago
What is the surface area of the box if its 5 1/2 by 3
Kamila [148]

Answer:

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Step-by-step explanation:

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with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
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x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
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3 years ago
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