how do you find the volume to the nearest cubic in of a cone whose radius is 12 in and hieght is 15 inches

Answers

Answer 1

Answer: You have to know the formula for the volume of a cone.
In high school, there's no other way.

Volume of a cone = (1 / 3) π (radius)² (height)

Volume = (1 / 3) π (12 inches)² (15 inches)

Volume = 720 π = 2,261.95 cubic inches

Rounded to the nearest cubic inch, that's 2,262 cubic inches.

Answer 2

Answer: $V \beta = (1)/(3) \pi r^(2)h \n V \beta = (1)/(3) \pi 12^(2) * 15 \n V \beta = 2160 * (1)/(3) \pi \n V \beta = 720 \pi$

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Algebra 1 solve by elimination
6x-3y=30
6x+y=18

Answers

slimination

the teacher probably wants you to eliminate the x terms since there are an equal number of them

so multiply first equation by -1
-6x+3y=-30
add to second equation
6x-6x+3y+y=18-30
0x+4y=-12
4y=-12
divide by 4
y=-3
subsitute
6x+-3=18
add 3
6x=21
divide both sides by 6
x=21/6=7/2

x=7/2
y=-3

First, we need the coefficient of one of our variables to be the same.
In this case, it's already done for us. We have 6x in both equations.

Now, we just subtract the equations.
$\ \ 6x-3y=30\n\underline{-6x+y=18}\n\overline{} \ \ \ \ -\ 4y=12\n\overline{} \ \ \ \ \ \ \ \ \ \ y=-3$

Note that the subtraction distributes to each term of that equation.

(you can also do something similar by adding equations--as long as you get rid of of that variable...and if your coefficients aren't the same to begin with, just multiply both sides of one of those equations to get them equal.)

Now, we just use that y = -3 to find x.

$6x+y=18\n6x-3=18\n6x=21\n\boxed{x=3.5}$

What is £390 shared as 5:8 ratio

Answers

Shared ratio is 5 : 8

Total parts
5+8 = 13

If we want to get a single part, it has to be divided by 13.
390 / 13 = 30

therefore,
5 : 8
1*5 : 1*8
30*5 : 30*8
150 : 240

Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?A. −b

B. d

C. −b/a

D. −d/c

Answers

The answer to your question is C. -b/a

Nicole deposited $2,000 at 6% simple interest. How long will it be before she has $2,600 in her account?

Answers

$\bf \qquad \textit{Simple Interest Earned Amount}\n\nA=P(1+rt)\qquad \begin{cases}A=\textit{accumulated amount}\to &2,600\nP=\textit{original amount deposited}\to& \$2,000\nr=rate\to 6\%\to (6)/(100)\to &0.06\nt=years\end{cases}$

solve for "t"

Which graph represents the solution set of the system of inequalities?