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saw5 [17]
3 years ago
9

A farmer has a water tank for cows in the shape of a cylinder with radius of 7 ft and a

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

92.36 ft³

Step-by-step explanation:

The volume of a cylinder is given by the following expression:

V=h*\pi r^2

Where "h" is the height of the cylinder and "r" is the radius of the base.

The full volume of the cylindrical tank is:

V=3*\pi*7^2\\V=461.81\ ft^3

The sensor turns on when the volume reaches 20% of the total volume, the volume of the tank when the sensor turns on is:

S=0.20*V\\S=0.20*461.81\\S=92.36\ ft^3

The volume is 92.36 ft³.

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Find the measure of x.
Ratling [72]
<h3>Answer:  B.  x = 6</h3>

==========================================================

Explanation:

Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.

Set them equal to each other and solve for x.

15(x+2) = 120

15x+30 = 120

15x = 120-30

15x = 90

x = 90/15

x = 6

Or we could have the steps like this

15(x+2) = 120

x+2 = 120/15

x+2 = 8

x = 8-2

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7 0
2 years ago
3. Ricky buys some packs of gum (x) that cost $1.50 and some jawbreakers (y) that cost $ 50.
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3 years ago
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Otrada [13]

Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

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The only gorilla who weighs 310 pounds is Nancy.

5 0
4 years ago
Somebody please explain this I have a major exam soon and I really need to know how to solve problems like this​
nevsk [136]

Answer:

y = 2x - 3

Step-by-step explanation:

Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.

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Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)

The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.

5 0
3 years ago
Use row reduction to find the inverse of the given matrix if it exists, and check your answer by multiplication.
lakkis [162]

Step-by-step explanation: see attachment below

8 0
3 years ago
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