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balandron [24]
2 years ago
10

The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo

rmula for r. Then find the radius of the cylinder when the volume is 236 cubic feet. Round your answer to the whole number.
The formula solved for r is r=
When the volume is 236 cubic feet, the radius is about __ feet.
Mathematics
1 answer:
makkiz [27]2 years ago
6 0

Answer:

118. The radius is 118 feet.

Step-by-step explanation:

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Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
nadezda [96]
Y=5.25x thank me later
5 0
2 years ago
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The table represents an exponential function.
Minchanka [31]

we know that

The multiplicative rate of change of the exponential function between two points is equal to

[f(b) / f(a) ] / (b-a)

Let

A(1,6)\\B(2,4)

we have that

f(a)=6\\f(b)=4\\a=1\\b=2

substitute in the formula

[4 / 6 ] / (2-1)=4/6=2/3

Let

A(3,8/3)\\B(4,16/9)

we have that

f(a)=8/3\\f(b)=16/9\\a=3\\b=4

substitute in the formula

[(16/9) / (8/3) ] / (4-3)=48/72=2/3

therefore

<u>the answer is the option</u>

B.) 2/3



8 0
2 years ago
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Which of the following statements is true only if triangles EFI and GFH are similar?
igomit [66]

Answer: Choice B

FH/FI = HG/IE

================================================

Explanation:

We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.

  • E and G pair up because they are the first letters of EFI and GFH
  • F and F pair up as they are the second letters
  • I and H pair up because they are the third letters

This means

  • E = G
  • F = F
  • I = H

Furthermore, it means

  • EF corresponds to FG
  • FI corresponds to FH
  • IE corresponds to GH

Focus on the last two items of the list above. We can then form the proportion

FI/FH = IE/GH

which is the same as

FH/FI = GH/IE

when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say

FH/FI = HG/IE

So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.

4 0
1 year ago
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Stabiliti daca marimile ale caror valori sunt trecute in tabelele urmatoare sunt direct proportionale.
kvv77 [185]

Vă rugăm să găsiți imaginea întrebării atașate mai jos:

Răspuns:

A este proporțională

B este proporțională

C nu este proporțional

D este proporțional

E nu este proporțională

F este proporțional

Explicație pas cu pas:

Pentru a determina proporționalitatea:

Obținem constanta proporționalității

Pentru valorile din tabelul 1;

Luând primul punct:

x = 1; y = 5

1 α 5

1 = 5k

k = 1/5

Test:

y = 15

x = k * y

x = 1/5 * 15; x = 3

Prin urmare; (a) este proporțională

B.)

x = 2; y = 6

2 α 6

2 = 6k

k = 2/6

k = 1/3

Test:

y = 15

x = k * y

x = 1/3 * 15; x = 5

Prin urmare; (b) este proporțională

C.)

x = 2; y = 6

7 α 3,5

7 = 3,5k

k = 7 / 3,5

k = 2

Test:

y = 5

x = 2 * 3.5

x = 7

Prin urmare; (c) nu este proporțională

x = 0,5; y = 1

0,5 α 1

0,5 = k

Test:

y = 4

x = k * y

x = 0,5 * 4; x = 2

Prin urmare; (d) este proporțională

x = 0,2; y = 2

0,2 α 2

0,2 = 2k

k = 0,2 / 2

k = 0,1

Test:

y = 4,5

x = 0,1 * 4,5

x = 0,45

Prin urmare; (e) nu este proporțională

x = 1; y = 12

1 α 12

1 = 12k

k = 1/12

Test:

y = 84

x = 1/12 * 84

x = 7

Prin urmare; (f) este proporțională

7 0
1 year ago
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take
MrRissso [65]

Answer:

mean (μ) = 4.25

Step-by-step explanation:

Let p = probability of a defective computer components = \frac{68}{400} = 0.17

let q = probability of a non-defective computer components = \frac{332}{400} = 0.83

Given random sample n = 25

we will find mean value in binomial distribution

The mean of binomial distribution = np

here 'n' is sample size and 'p' is defective components

mean (μ) = 25 X 0.17 = 4.25

<u>Conclusion</u>:-

mean (μ) =  4.25

6 0
2 years ago
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