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arlik [135]
2 years ago
11

What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the a

nswer to the nearest square meter

Mathematics
2 answers:
Vinil7 [7]2 years ago
8 0

Answer:

1112 m^{3}

Step-by-step explanation:

The formula for the surface area of a conical grain storage is:

S= \pi *r\sqrt{r^{2}+ h^{2} } +\pi *r^{2}

Now you just have to put the values inside the formula, knowin that the radius is half the diameter the radius would be:

\frac{d}{2}=\frac{14}{2}=7

ANd the height is 43.

So the formula would be:

S= \pi *7\sqrt{7^{2}+ 43^{2} } +\pi *7^{2}

S=1112m^{3}

8_murik_8 [283]2 years ago
4 0
Check the picture below

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3 years ago
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3 years ago
In Vancouver, British Columbia, the probability of rain during a winter day is 0.42, for a spring day is 0.23, for a summer day
nadezda [96]

Answer:

31.82% probability that this day would be a winter day

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening

In this question:

Event A: Rain

Event B: Winter day

Probability of rain:

0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).

So

P(A) = 0.42*0.25 + 0.23*0.25 + 0.16*0.25 + 0.51*0.25 = 0.33

Intersection:

Rain on a winter day, which is 0.42 of 0.25. So

P(A \cap B) = 0.42*0.25 = 0.105

If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?

P(B|A) = \frac{0.105}{0.33} = 0.3182

31.82% probability that this day would be a winter day

6 0
3 years ago
janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if
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Answer:

"She invested $2500 in 5% account and $5500 in 8% account"

Step-by-step explanation:

Let the amount invested in 5% account be "x"

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Interest amount is the percentage multiplied by amount invested. So

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Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)

Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

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and thus,

"8000 - x" = 8000 - 2500 = 5500

Hence,

She invested $2500 in 5% account and $5500 in 8% account

6 0
3 years ago
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