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3 years ago

If the height of a cone is cut in half, the volume of the cone is multiplied by what number?

1 answer:

7 0

We know that
volume of a cone=(1/3)*pi*r²*h

<span>If the height of a cone is cut in half
so
h=h/2
and
new volume of a cone=</span>(1/3)*pi*r²*(h/2)----> (1/2)*[(1/3)*pi*r²*h)

the answer is
<span>the volume of the cone is multiplied by 1/2</span>

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1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

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3 years ago

Find the value of x. Write your answer in simplest form.

Brilliant_brown [7]

Answer:

by using Pythagoras theorm

${x}^{2} + {x}^{2} = {(9 \sqrt{2)} }^{2} \\ 2 {x}^{2} = 81 \times 2 \\ 2 {x}^{2} = 162 \\ {x}^{2} = 81 \\ x = \sqrt{81} \\ x = 9$

Step-by-step explanation:

4 0

3 years ago

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Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total

Grace [21]

11
If you replace the x with 11, the new equation would be 10+5(11)=65. First, multiply 5 and 11, your answer would be 55, then add the ten, you would get 65. Which makes the equation true, because 65=65.
I hope this helps
If you have any questions on my answer please feel free to ask :)

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3 years ago

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If Usain Bolt can run a marathon (26.2) in 2 hours and 15 minutes, how fast would he run if he ran at the same constant rate?

inn [45]

Answer:

The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon.

Step-by-step explanation:

Given as :

The Distance of marathon = 26.2 unit

The time taken to complete marathon = 2 hours and 15 minutes

= 120 + 15 = 135 minutes

Let The constant speed of Usain Bolt = S unit per minutes

So, Speed = $\frac{Distance }{Time}$

Or, S = $\frac{26.2 }{135}$

∴ S = 0.194 unit per minutes

Hence The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon. Answer

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3 years ago

A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of t

aliina [53]

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

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2 years ago