Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?


A. 12 m
B. 16 m
C. 18 m
D. 14 m

Answer:

Step-by-step explanation:

Volume of cylinder:

[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]

Bottom cylinder:

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

Answer:

[tex]\sqrt{22.25}[/tex]

Step-by-step explanation:

4 ^ 2  is 16

2.5 ^ 2 is 6.25

16 + 6.25 is 22.25

The square root of 22.25 is undefined so...

[tex]\sqrt{22.25}[/tex]

Answer:207x10^-7

Step-by-step explanation:

Answer:

2.07*10^-7

Step-by-step explanation:

120 sq.un

Here given the following,

Answer:

The answer to the equation is: x + y ≥ 45

because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45

Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u

Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y

It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.

So, the option that fits the most is x + y ≥ 45

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

Answer:

  25.5

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(49°) = x/(22.2 m)

Multiplying by the denominator, we get ...

  x = (22.2 m)tan(49°) ≈ 25.5 m

The unknown side is about 25.5 meters.

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by:

[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{9} [/tex]

Hence, the correct choice is D

Answer:

  D)  8/9

Step-by-step explanation:

There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...

__

The sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)

__

As with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]

  [tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]

The result can be reduced by cancelling common factors in this process.

  [tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]

__

For this method, both the dividend and the divisor need to be expressed over the same denominator.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]

We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.

  [tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]

Answer:

71

Step-by-step explanation:

The mean is the average. There are two ways to do this question shown.

1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-

88+100+76+92+83=439.

439/5=87.8

The current average is 87.8. Now, you can add and divide again.

439+71=510. 510/6=85.

You now have the answer. However, you might want to check again.

439+76=515

515/6=85.833....3

It is more than 85, so the answer is 71.

2- Find out how much more all the numbers are than the smallest number.

First, I'll organize it.

-76, 83, 88, 92, 100-

The smallest number is 76, so subtract 76 from each.

0, 7, 12, 16, 24 added up together is 59.

59/5=11.8

76+11.8=87.8

That also gives you that the average is 87.8.

You can then see how much or less the number is than the average and then add.

71 is five LESS than the average, so it's -5.

54/6=9.

9+76=85.

Thus, 71

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Answer:

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:42.83 i think

Step-by-step explanation:

Answer:

42.83

Hope this helps and have a great day!!!

ENJOY!

Answer:

They did the multiplication incorrectly

Step-by-step explanation:

[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

Answer:

We all know that if one factor is equal to zero, then the product of all factors is equal to zero.

[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]

You have to rewrite the equation as a factored quadratic set both equal to zero.

Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex]  to  [tex](2-2)(-2+2) =0[/tex]

[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]

I hoped this helped

To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem :  [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)

Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)

So, correct answer is D

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40