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1 year ago

How do you find the volume of compound shapes

Mathematics

1 answer:

ioda1 year 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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Step-by-step explanation:

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2 years ago

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2 years ago

1. The value of k for which equation 9x2 + 8xk+8 = 0 has equal roots is:

Nesterboy [21]

Answer:

Option C

+ or - 3

Step-by-step explanation:

A quadratic equation will have equal roots if its Discriminant is equal to zero.

the discriminant in this case is $b^{2}- 4 ac$

considering the equation,

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a = 9, b= 8k, c=8

Replacing the variables in the original equation with their respective values, we will have:

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However, these are not in the options given. the closest choice to it

is + or - 3

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2 years ago

Alice sleeps an average of 9 hours per night a cat can sleep up to 20 hours per day about how many more hours does a cat sleep i

SashulF [63]

Answer:

330 hs

Step-by-step explanation:

If Alice sleeps an average of 9 hs and her cat sleeps an average of 20 hours each day we can say that her cat sleeps an average of 11 hours more per day than her.

If the cat sleeps 11 hours more than her per day, for getting the hours he sleeps more by month we just need to multiply the daily value by the number of days in a month. Thus,

30 * (11) = 330

So, her cat sleeps an average of 330 hours more than her in a month, which can be decomposed in 11 hours a day.

I hope it is understandable.

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1 year ago

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givi [52]

you would find the mean of all of them and it would be 7.6

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2 years ago

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