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Sonja [21]
3 years ago
8

S = 2πrh + 2πr², for h

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

Step-by-step explanation:

This is a literal equation, and for some reason, students literally freak out about solving them.  We will isolate h the same way we would if we were solving an equation for x.  In order to get the term with the h in it all by itself, we have to move everything else away from that term.  The 2πr² is added on the left, so we will move it by subtracting it from both sides, giving us

S-2\pi r^2=2\pi rh

Then we need to get the h alone.  Everything on the right side of the equals sign is multiplied together, so the "undoing" of multiplication is division, so that's what we'll do.  Divide everything away from the h:

\frac{S-2\pi r^2}{2\pi r}=h

which is choice C.

You might be interested in
8. Solve the system of equations using substitution.
Elodia [21]

Answer:

D

Step-by-step explanation:

In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!

Let us start with option A. (6,3)  3 = 4(6) + 6     = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.

Next answer choice, B  (3,6)  6 = 2(3) =   6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6   = 6 = 18 which is wrong.

Next, C.  (1,2)   2 = 2(1) = 2=2 Right now lets check the other equation.

2 = 4(1) + 6 = 2=10. Wrong

Last, D. (-3, -6)    -6 = 2(-3)  = -6 = -6 Right now lets check the other equation.

-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.

Sorry for the wait of response.

8 0
3 years ago
Question Help A manufacturer ships toasters in cartons of 1010. In each​ carton, they estimate a 1010​% chance that any one of t
natta225 [31]

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

P(X=x)=C(n,x)p^x(1-p)^{n-x}    x=0,1,2,......,n

               =0                                   elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}

                    =\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7

                    =0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

6 0
3 years ago
Help me solve this Algebra problem please​
sp2606 [1]

Answer:

39858075

Step-by-step explanation:

Hello,

One basic way to see it is to compute the values.

   75 = 25 * 3

   225 = 75 * 3

   675 = 225 * 3

   etc ...

We can notice that this is multiplied by 3 every 10 years so we can compute as below.

year         population

1970 25

1980 75

1990 225

2000 675

2010 2025

2020 6075

2030 18225

2040 54675

2050 164025

2060 492075

2070 1476225

2080 4428675

2090 13286025

2100 39858075

So the correct answer is 39858075

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
3 years ago
The ratio of boys to girls in band class was 3 to 5. If there were 24 boys. How many girls were in band class?
Tamiku [17]

Answer:

40 girls

Step-by-step explanation:

Set up a proportion where x is the number of girls in band class:

\frac{3}{5} = \frac{24}{x}

Cross multiply and solve for x:

3x = 120

x = 40

So, there were 40 girls in band class.

7 0
3 years ago
Read 2 more answers
-3( 2u + 5 ) +3.5u = -1u solve the equation
lora16 [44]

Answer:

that conclude idk

Step-by-step explanation:

-6U+-15+3.5U=-1U

-2.5U+15

4 0
3 years ago
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