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finlep [7]
3 years ago
7

Find the height of a cone with a volume of 942 cubic units and a radius of 10 units

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
Volume of a cone: \frac{1}{3}\pir²h
Plug the radius and volume in the formula.

\frac{1}{3}\pi10²h = 942
Divide both sides by \frac{1}{3}.

\pi10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.
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Explain the Proof for Lemis Theorm
11111nata11111 [884]

You mean Lami’s Theorem?


Consider the figure. Three concurrent forces net to static equilibrium at the origin. Let's assume for simplicity force <em>a</em> is along the positive x axis.


We have equilibrium when the components of force balance in both dimensions. In particular in the y dimension,


b \sin C = c \sin B


\dfrac{b}{\sin B} = \dfrac{c}{\sin C}


We're free to move our coordinate system around to make any of the force vectors the x axis and then we'd get the same sine balance as in the Law of Sines for the remaining pair of sides.


\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}



3 0
3 years ago
The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent
Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation,

E = Margin of error .

z* = Critical value

2. n=p(1-p)(\dfrac{z^*}{E})^2 , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

n=0.25(\dfrac{z^*}{E})^2

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2

n=0.21(0.79)(65.3333)^2

n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709 [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0
3 years ago
10 ft area of base 62ft 2 (squared)
AleksAgata [21]

Answer:

12

Step-by-step explanation:

3 0
3 years ago
1 tank of propane holds 5 gallons and will last 12 hours. how many gallons of propane is needed for 240 hours.
MAVERICK [17]

5 gallons        x gallons

------------- = ----------------

12 hours       240 hours


using cross products

5 * 240 = 12 * x

1200 = 12 x

divide each side by 12

1200/12 = 12x/12

100 =x

You will need 100 gallons

8 0
4 years ago
Read 2 more answers
An airplane takes 4 hours to travel a distance of 2600 miles with the wind. The return trip takes 5 hours against the wind. Find
tankabanditka [31]
2,600/4 =650
650•5 =3,250


I found the unit rate of the 2,600 by dividing the per hour and then times it by the 5 hours

Hopefully that was what you were looking for
3 0
3 years ago
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