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aev [14]
4 years ago
12

A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled

Mathematics
1 answer:
Mrac [35]4 years ago
6 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
h=height\\
----------\\
diameter=1\frac{1}{2}\\\\
r=\cfrac{1\frac{1}{2}}{2}\\\\
h=2\frac{1}{2}
\end{cases}

so.. get the full volume of the cooler, by plugging in the given values

now, the cooler is only filled 3/4, how much is 3/4 of that? well, let's say you got a value V, 3/4 of that is , well \bf \cfrac{3}{4}\cdot  V
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Multiply 543.542 and 4 together. Round to the nearest hundredth when necessary.
Nastasia [14]

Answer:

2174.17

Step-by-step explanation:

multiply 543.542×4

you get 2174.168

round to the nearest hundredth

2174.17

4 0
3 years ago
I need help on the question and I need to do it because I’m on a time schedule
VladimirAG [237]

Answer:

126∏

Step-by-step explanation:

area = 2 * area of the circle + area of the rectangular surface

area = 2 * r² * ∏ + 2 * r * ∏ * h

area = (2 * r² + 2 * r * h) * ∏

area = (2 * 7² + 2 * 7 * 2) * ∏

3 0
4 years ago
The sum of three consecutive numbers is equal to 4 times the largest number minus 29. What is the smallest of the three numbers?
gulaghasi [49]

The smallest of the three consecutive integers is 24.

<h3>How to solve algebraic word problems?</h3>

Let the 3 consecutive integers be;

x, y and z

Thus;

y = x + 1

z = x + 2

Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;

x + x + 1 + x + 2 = 4(x + 2) - 29

3x + 3 = 4x + 8 - 29

4x - 3x = 3 + 21

x = 24

Thus, we can conclude that the smallest of the three consecutive integers is 24.

Read more about algebra word problems at; brainly.com/question/13818690

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5 0
2 years ago
Determine the intercepts of the line that passes through the following points. (-10,-28) , (-6,-21) , ( -2,-14)
____ [38]
The line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

Picking the last two points,

(-2 - -6)(y - -21) = (-14 - -21)(x - -6)

4(y+21) = 7(x+6)

When x=0

4y + 84 = 42

4y = -42

y = -21/2

Answer: -21/2

We never used the first point, let's check it's on the line


4(y+21) = 7(x+2)


4(-28 + 21) = -28

7(-10 + 6) = -28, good

8 0
3 years ago
If an angle is 167°,then it is obtuse
sattari [20]
If an angle is 167 degrees, it is an obtuse angle because, it's greater than a 90 degree angle. (right angle) Let me give you some details on why 167 degrees is an obtuse angle. You probably don't remember from your math classes in the past but, when they give you an angle value and they want to know if it's either a right angle, an acute angle, or an obtuse angle, you figure it out by doing these steps: 1. You take a protractor (it's kinda like a ruler, but it measures angles) and measure the angle given to find out the size of it in degrees. 2. Once you have the measured the angle and found the angle's size in degrees, ask yourself whether it's greater than 90 or less than 90. You want to ask yourself whether the angle measurement you found is greater than 90 or less than 90 because, if the size of the angle is exactly 90 degrees, than the angle you measured is a right angle. Now if the angle is greater than 90 (91 and Higher), then you know the angle is an obtuse angle. Which means by process of emulation, that if the angle you found is less than 90 (1-89), than the angle is an acute angle. And that's why a 167 degree angle is an obtuse angle Did that help you with your question or do you need just a little bit more understanding?
4 0
3 years ago
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