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Umnica [9.8K]
3 years ago
7

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.

Mathematics
1 answer:
kkurt [141]3 years ago
3 0
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
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The temperature in Alaska is currently -27 degrees F. The temperature in Texas is 72 degrees F. How much warmer is Texas than Al
ratelena [41]
99 degrees warmer because since -27 a negative number you have to add 27 to get to 0 so Alaska is then 72 degrees which is a positive number so you add 72+27 and get 99
3 0
3 years ago
The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

Width of the rectangle ⇒ <em>x</em>

Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

Since <em>x</em> represents width, our width is 10.

Our length therefore with be <em>2(10)</em> or 20.

So our width is 10 and our length is 20.

8 0
3 years ago
A given line has the equation 10x + 2y = −2.
sergij07 [2.7K]
Firstly, let's convert 10x + 2y = -2 to slope-intercept form (y = mx + b):

10x + 2y = -2
2y = -10x - 2
y = -5x - 2/5

The slope is -5. Parallel lines have the same slope; the question provides the y-int (12), so our equation is:

y = -5x + 12

Hope this helps.
5 0
3 years ago
Read 2 more answers
The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
Likurg_2 [28]
Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.

Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b

Thus,

y = -2x + 8

Answer is B
4 0
2 years ago
PLEASE HELP ME! IT WOULD BE VERY MUCH APPRECIATED!
shusha [124]

Answer:

A

Step-by-step explanation:

common ratio of 0.5.

hmu for more

7 0
3 years ago
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