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Olin [163]
2 years ago
12

Find the volume and surface area of prism​

Mathematics
1 answer:
dedylja [7]2 years ago
4 0

Follow up from the attachment.

Figure 2

Surface area:319cm²

Volume:184cm²

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One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 20 hours. How long will it take the pipe to
Andrei [34K]
<span>30 hours For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes: X(1/12 - 1/20) = 1 Now solve for X X(5/60 - 3/60) = 1 X(2/60) = 1 X(1/30) = 1 X/30 = 1 X = 30 To check the answer, let's see how much water would have been added over 30 hours. 30/12 = 2.5 So 2 and a half pools worth of water would have been added. Now how much would be removed? 30/20 = 1.5 And 1 and half pools worth would have been removed. So the amount left in the pool is 2.5 - 1.5 = 1 And that's exactly the amount needed.</span>
6 0
3 years ago
Can someone please help me with this?
maksim [4K]

Answer:

It would be 30 bc that are the same size on both side

8 0
3 years ago
HELP THIS IS DUE SOON PLEASEEEEEEEEEEEE HELPPPPPPPPPP
muminat

Answer:

6x^2 + 4x

Step-by-step explanation:

g(x) + f(x)

= -8x^2 - 3x + 5 + 2x^2 + 7x - 5

= -8x^2 + 2x^2 - 3x + 7x + 5 - 5

= - 6x^2 + 4x

4 0
3 years ago
For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f
pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

P(x) = nCx*p^{x} *(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}

P(4)=0.2592

And P(5) is:

P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

5 0
3 years ago
Which expression is equivalent to 3x+10−x+12<br> a.24x<br> b.4x + 22<br> c.26x<br> d.2x + 22
jok3333 [9.3K]
The answer is:  [D]:  2x + 22  .
______________________________________________
8 0
3 years ago
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