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3 years ago

13

What is the volume of both shapes ?

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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By using the given table, we will get the linear equation:

h = n - 9

<h3>How to find the equation for Hakim?</h3>

We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.

Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:

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Using the variables, we get:

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1 year ago

Answer needed ASAP !!!

dsp73

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3 years ago

Read 2 more answers

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

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4 years ago

Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the propo

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Answer:

What two ratios can be used in the proportion?

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6.75 in.

Step-by-step explanation:

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3 years ago

6(33 - w) = 90 solve for w entre your answer in the box w =

aliina [53]

Answer:

w = 18

Step-by-step explanation:

6(33 - w) = 90

33 - w = 15

-w = -18

w = 18

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2 years ago