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Yuliya22 [10]
3 years ago
14

Volume of a cone is 593.46 cubic in, the radius is 9in what is the height to the nearest inch?

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0
Equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)
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H(x) = 3x2 - 2x + 13<br> h(3)<br> [?]
kow [346]

Answer:

25

Step-by-step explanation:

When you substitute x for 3, the new equation would be ; 3(3)(2) - 2(3) + 13

using order of operations from left to right, you would start by multiplying

3(3)(2) and 3(3) is 9, and 9(2) is 18. The next step is to multiply 2 and 3 which is 6. Once you have both groups of numbers simplified, you can plug them back in : 18 - 6 + 13 ; 18 - 6 is 12, and 12 + 13 is 25, so the answer is 25.

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A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all
user100 [1]

Answer:

a and d

Step-by-step explanation:

brainliest if you want :)

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3 years ago
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How many 3 letter "words" can be formed from the standard 26 letter alphabet, if the first letter must be a vowel (A, E, I, O, o
lorasvet [3.4K]

Answer:

5 words

Step-by-step explanation:

because there are five vowels

8 0
1 year ago
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A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
3 years ago
an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk
Westkost [7]

\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0
3 years ago
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