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erastova [34]
3 years ago
13

What is the volume of both shapes ?

Mathematics
1 answer:
Nataly [62]3 years ago
6 0

Answer:

314 ft cubed

Step-by-step explanation:

To find the volume, find the volume of the cone and add it to the volume of the cylinder.

The volume of a cone is

V= \frac{1}{3}\pi r^2 h=  \frac{1}{3}\pi (5^2)(12) =  \frac{1}{3}\pi (25)(12)= \frac{1}{3}\pi *300 = 100\pi.

The volume of the cylinder is

V=\pi (5^2)(4)= \pi (25)(4)= 100\pi

Together their volume is 100\pi+100\pi=200\pi \\200\pi =314ft^3

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Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0
2 years ago
Read 2 more answers
Express the vector (4,-6) in terms of the standard unit vectors i and j
Aliun [14]
Four, -6 in terms of standard unit factors I NJ makes no sense
8 0
3 years ago
Please help As soon as possible!
True [87]

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

When you plug that in it will be 120 = 12b

After this, you need to solve (10)

7 0
3 years ago
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AYUDA CON ESTO!!! ALGUIEN PORFAVOR
Gre4nikov [31]

Answer:

Problem 1)  frequency:  160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

\frac{200}{60} = \frac{10}{3} \approx  3.33   loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

\frac{200}{65} = \frac{40}{13} \approx  3.08   loops per minute

then the period is:

\frac{13}{40} =0.325\,\,\,minutes

Therefore runner B has the smaller period

8 0
3 years ago
A river with large, smooth rocks on the bottom, small and medium sized sediment is moving downstream. Which conditions resulted
zimovet [89]

Answer:

low gradient, high volume

high gradient, low velocity

high gradient, high velocity

Step-by-step explanation:

On E2020

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3 years ago
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