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s2008m [1.1K]
3 years ago
13

A cylindrical tank holds about 615.44

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

The height is 15.992 in

Step-by-step explanation:

1. The equation for a cylinder is V=\pi r^2h.  In this case, the equation looks like 615.44=\pi (3.5)^2h

2. Isolate h by dividing both sides of the equation by \pi (3.5)^2

3. This leaves us with \frac{615.44}{\pi (3.5)^2}=h

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)

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Simplify the surd 3√ 20 +√ 45 ​
melisa1 [442]

Answer:

9\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify the radicals

\sqrt{20}

= \sqrt{4(5)}

= \sqrt{4} × \sqrt{5}

= 2\sqrt{5}

\sqrt{45}

= \sqrt{9(5)}

= \sqrt{9} × \sqrt{5}

= 3\sqrt{5}

Then

3\sqrt{20} + \sqrt{45}

= 3(2\sqrt{5} ) + 3\sqrt{5}

= 6\sqrt{5} + 3\sqrt{5}

= 9\sqrt{5}

3 0
3 years ago
Read 2 more answers
Vertical angles are opposite angles with the same vertex <br> true or false
Sati [7]
True 
<span>Vertical angles are opposite angles with the same vertex </span>
4 0
4 years ago
what is the probability that a red or green marble will be selected from a bag containing 9 red marbles, 7 green marbles, and 11
SVEN [57.7K]
P(red) = 9/(9 + 7 + 11) = 9/27 = 1/3
P(green) = 7/27

P(red or green) = 1/3 + 7/27 = 16/27
3 0
4 years ago
The number of ferryboat trips r(c) needed to transport c cars in 1 day can be found using the function f(c)=c/20. If there are n
xz_007 [3.2K]
<h2>Hello!</h2>

The answer is:

The range of the given function, f(c) is

f(c)\leq 250

<h2>Why?</h2>

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

f(x)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(c)=\frac{c}{20}

Also, we know that there are not more than 5000 cars transported by the ferryboat, so, let's make this value our input, in order to find the output (range) of the given function.

So, if

c=5000

Evaluating, we have:

f(5000)=\frac{5000}{20}=250

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

f(c)\leq 250

Have a nice day!

8 0
3 years ago
A bag with 5 pound of potatoes costs $3.20. How much do 12 pounds of potatoes cost at the same rate?​
Temka [501]

Answer:

$7.68

Step-by-step explanation:

You must find the rate first, so in order to do that you divide the price by the quantity which is

3.20/5

which equals .64 and this number is the cost of potatoes per pound so to find 12 pounds you do

.64 * 12

which equals 7.68

3 0
3 years ago
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