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bogdanovich [222]
3 years ago
12

V=1/3Πr^2(2r+h)

Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0

Answer:

h =  \frac{3v  - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} }

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

stiv31 [10]3 years ago
3 0

Answer:

h= \frac{−2.094395r3+v}{1.047198r2}

Step-by-step explanation:

v=(  \frac{1}{3} (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= \frac{−2.094395r3+v}{1.047198r2}

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Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2\frac{1}{2}hours

6 0
3 years ago
The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Fin
NISA [10]

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, \mu=8.04 g

Standard deviation, \sigma=0.08g

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

P(Xx_2)=0.03

P(X

=0.03

From z- table we get

P(Z1.88)=0.03

Therefore, we get

\frac{x_1-8.04}{0.08}=-1.88

x_1-8.04=-1.88\times 0.08

x_1=-1.88\times 0.08+8.04

x_1=7.8896

\frac{x_2-8.04}{0.08}=1.88

x_2=1.88\times 0.08+8.04

x_2=8.1904

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

5 0
3 years ago
What is the surface area.
never [62]
The surface area in this equation is 5x4 which is 20
6 0
3 years ago
Read 2 more answers
This is urgent, please answer!
Alex17521 [72]

1/2 = 0.5

12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

Refer to the diagram below. Note how I divided the figure into two rectangles.

The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.

The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet

Now add up those individual areas to get the total area

125+22.5 = 147.5

Then convert that to a mixed number

147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2

<h3>The correct area is 147 & 1/2 feet</h3>

8 0
3 years ago
Provides a unique set of guidelines that can be applied to any triangle. The guidelines demonstrate a clear understanding of app
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we can have a triangle  and we know that there are two angles. 

30º and a 45º + 105 =180º angle. applying the sides. 

therefore if we have the whole triangle completed we have a constant triangle. 


so it tell us we can you’se SOH CAH TOA 

we can varrify what kind of triangle we are using. 


for example if we were to use  Sin I would do 


Sin 30/ 2 = sin of 105º/ A = sin=45º/ B


if you would want to solve for  sin 30/2 and sin 105, then we solve. 

 

or Sin 30/2  and Sin 105 as well. 


with your calculator use sin= 30=.5  and use sin 105º a divide by 1.5 on both sides    1.5= A /sin 105º * 1.5   answer would be 3.86.  a is = to 3.86 (Not the answer)


5 0
3 years ago
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