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VladimirAG [237]
3 years ago
10

Two cylinders are similar. The radius of cylinder a is 5.6 in. The radius of cylinder b is 1.4 in. If the hwight of cylinder b i

s 4 in what is the height of cylinder a?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0
The answer is 16in.

Let the radius and height of cylinder A be Ra and Hb respectively and the radius and height of cylinder B be Rb and Hb respectively.

Using similar shapes:
Ra/Ha= Rb/Hb
5.6/Ha=1.4/4
Ha=(4×5.6)/1.4
Ha=22.4/1.4
Ha=16in
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Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
Evaluate 3x for x = -2, x = 1, and x = 3.
marusya05 [52]
Option A is correct.

Put the values of x in 3^x and you will get the answer corresponding to option A
5 0
1 year ago
Read 2 more answers
Please answer the file question.
viktelen [127]

Answer:48 16 = ?

27 9 = 9

60 20 - 10

Step-by-step explanation:

4 0
2 years ago
Please help i’m very confused
finlep [7]

Answer:

a: 300cm

b: 7m

c 450cm

d: 95 m

Step-by-step explanation:

if the given value is in meters multiply by 100

if the given value is in cm divide by 100

4 0
3 years ago
PLZ HELP
charle [14.2K]

Answer:

17 pants and 9 shirts

let x rep pants

let y rep shirts

x + y =26

225 x + 125 y =4950

x = 26 - y

225(26 - y) + 125y= 4950

5850-225y+125y = 4950

5850-100y=4950

-100y=4950-5850

-100y=-900

y=9

x = 26 - (9)

x = 17

3 0
3 years ago
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