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Pie
4 years ago
9

Brainiest If Correct + 50pts ---The cylinder with base radius 5 and height 12 is inscribed in a right rectangular prism. Find th

e total surface area and the volume of the prism.

Mathematics
1 answer:
Romashka [77]4 years ago
4 0

Answer:

SA = 680 units^2

V =1200 unit^3

Step-by-step explanation:

If the radius is 5 then the diameter is 2r = 2*5 = 10

The height would remain the same

Surface area of a prism is given by

SA = 2 (lw+lh+hw)

l =d = 10   w = d = 10   h = 12

SA = 2 ( 10*10 + 10 * 12+ 12* 10)

SA = 2( 100+120+120)

SA = 2(340)

SA = 680 units^2

V = l*w*h = 10*10*12 =1200 unit^3

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What is the solution to Mr. Smith's equation?
taurus [48]

Answer:

39

Step-by-step explanation:

(16-2w)^2 + (3y÷3z)

Let w=5 y=9 and z=3

(16-2*5)^2 + (3*9÷3*3)

PEMDAS says parentheses first

Multiply and divide in the parentheses

(16-10)^2 + (27÷9)

Then add and subtract in the parentheses

(6)^2 + (3)

Now the exponent

36 +3

39

5 0
4 years ago
Read 2 more answers
Please help me with this ​
JulijaS [17]

Answer: C

Step-by-step explanation:

The formula to find average rate of change is \frac{f(b)-f(a)}{b-a}. Since the problem is asking for the average rate of change from the second to fifth year, we plug in a=2 and b=5.

\frac{f(5)-f(2)}{5-2}

f(5)=420.4

f(2)=408.04

\frac{420.4-408.04}{5-2}=4.12

Now, we get 4.12 dollars per year for the average rate of change.

7 0
4 years ago
Helppp please it’s due tdy :(
Lana71 [14]
The base is -4 and the exponent is 6
5 0
3 years ago
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A ribbon is 5 1/2 feet long. Ms. Gurthie wats to cut it into 1/4 foot segments. How many pieces can she make? Be see to simplify
Softa [21]

Answer:

She can make 4 pieces

Step-by-step explanation:

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5 0
4 years ago
Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10
AnnyKZ [126]

Answer:

a)P=0.42

b) n\geq 297

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}

a) we have k=2, n=10 and p=0.01:

P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42

b) We have, 1-(1-p)^n=P, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
3 years ago
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