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3 years ago

How do you find the volume of compound shapes

Mathematics

1 answer:

ioda3 years ago

7 0

so in this case, we have a rectangular prism, a box, at the bottom, and a cone on top.

the prism is just a 17x9x5, and its volume is just that product.

the cone uses the short side of 9 for its diameter, so the diameter of the cone is 9, meaning its radius is half that or 4.5, whilst its height is 10.

$\bf \stackrel{\textit{volume of the prism}}{(17\cdot 9\cdot 5)}~~+~~\stackrel{\textit{voume of the cone}~~\frac{\pi r^2 h}{3}}{\cfrac{\pi (4.5)^2(10)}{3}}\implies 765+\cfrac{202.5\pi }{3}~\approx~977.0575$

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Divide 51g into the ratio 1:2

Diano4ka-milaya [45]

The answer is :
17:34
Explanation:
1 + 2 =3
51 /3 = 17
17 x1 =17
17 x 2 =34

5 0

3 years ago

1) Five hundred tickets were sold for a fundraising dinner. The receipts totaled $3312.50. Adult tickets were $7.50 each and chi

ehidna [41]

Number of adults' tickets (x): $7.50x + $4.00(500 - x) = $3,312.50 $7.50x + $2,000.00 - $4.00x = $3,312.50 $3.50x = $1,312.50 x = 375
No. of children's tickets (500 - x): = 500 - 375 = 125
Answer: 375 adults' tickets, 125 children's tickets
Proof (Receipts totaled $3,312.50): = (375 tickets * $7.50) + (125 tickets * $4.00) = $2,812.50 + $500.00 = $3,312.50

6 0

3 years ago

Read 2 more answers

Jason has 60 toy cars 30% of the cars are blue how many cars are blue?<br><br> Please Show Work!!

Temka [501]

Answer:

Step-by-step explanation:

30%=.3

60*.3=18

30% of 60 =18

5 0

3 years ago

Two cars on a roller coaster hold 14 riders combined. If 12 cars are linked together, how many riders can fit on the roller coas

kakasveta [241]

I want to say it's 84 combined because two roller coaters can hold 14 so seperately it's 7. 7x12=84 so I believe the answer is 84. I'm sorry if it's wrong.

4 0

3 years ago

Read 2 more answers

Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and

MatroZZZ [7]

Answer:

At least 89% of women have platelet counts that are within 3 standard deviations of the mean.

The minimum possible platelet count that is within 3 standard deviations of the mean is 58.6 and the maximum is 451.6.

Step-by-step explanation:

The Chebyshev Theorem states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 255.1

Standard deviation = 65.5

Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviations of the mean?

At least 89% of women have platelet counts that are within 3 standard deviations of the mean.

What are the minimum and maximum possible platelet counts that are within 3 standard deviations of the mean?

Minimum: 255.1 - 3*65.5 = 58.6

Maximum: 255.1 + 3*65.5 = 451.6

The minimum possible platelet count that is within 3 standard deviations of the mean is 58.6 and the maximum is 451.6.

4 0

4 years ago