The water supply uses huge concrete pipes to drain stormwater.

a Find the external radius of a pipe.

b Find the Internal radius of a pipe.

c Find the volume of concrete necessary to make one pipe.

The Water Supply Uses Huge Concrete Pipes To Drain Stormwater.a Find The External Radius Of A Pipe.b

Answers

Answer 1

Answer:

a. External radius is 0.5 m.

b. Internal radius is 0.45 m.

c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].

Step-by-step explanation:

a. It can be observed that the diameter of the pipe is 1 m.

External radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{1}{2}[/tex]

          = 0.5

External radius = 0.5 m

b. Internal radius of the pipe can be determined by;

Internal radius = [tex]\frac{internal diameter}{2}[/tex]

But,

Internal diameter = 1 m - (2 x 0.05 m)

                      = 1 m - 0.10 m

                      = 0.9 m

Internal diameter = 0.9 m

So that,

Internal radius = [tex]\frac{0.9}{2}[/tex]

                        = 0.45

Internal radius = 0.45 m

c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h

where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.

Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]

                                                = 1.9643 - 1.5911

                                                = 0.3732

The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].


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Answers

Answer:

I believe it's option 3

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Answer:

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Step-by-step explanation:

(4a⁵b)³ = 4³ * (a⁵)³ * b³

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Answers

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that [tex]x + y = 50[/tex]

The number of females is 2 more than 5 times the number of males.

This means that [tex]x = 5y + 2[/tex]

So, finding y, the number of males:

[tex]x + y = 50[/tex]

[tex]5y + 2 + y = 50[/tex]

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[tex]y = \frac{48}{6}[/tex]

[tex]y = 8[/tex]

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[tex]x = 5y + 2 = 5*8 + 2 = 42[/tex]

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Bob drove 65 miles per hour for 3 hours, how far did he drive​

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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If 45% of a number, n, is 225, what is 74% of n?

Answers

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x-7<11  Equation/Question

Step 2

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-3x-7<11

Step 3

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Step 4

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answer

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The aquarium has 198 guppies, angelfish and catfish altogether.
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Answers

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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[tex] \huge \blue{solution}[/tex]

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Step-by-step explanation:

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To the nearest unit, what is the perimeter of this pentagon?
5
3
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Answers

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10.
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Answers

Answer:

The answer is 6

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

the answer to your question is h = 10

Answer:

h<-20

We think you wrote:

-24>6/7(h-8)

This deals with linear inequalities.

Overview

Steps

Topics

Links

1 solution(s) found

See steps

Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

-24-(6/7*(h-8))>0

Step by step solution :

STEP

1

:

6

Simplify —

7

Equation at the end of step

1

:

6

-24 - (— • (h - 8)) > 0

7

STEP

2

:

Equation at the end of step 2

6 • (h - 8)

-24 - ——————————— > 0

7

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 7 as the denominator :

-24 -24 • 7

-24 = ——— = ———————

1 7

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

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————————————————————— = —————————

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STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

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Equation at the end of step

4

:

-6 • (h + 20)

————————————— > 0

7

STEP

5

:

5.1 Multiply both sides by 7

5.2 Divide both sides by -6

Remember to flip the inequality sign:

Solve Basic Inequality :

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Inequality Plot :

5.4 Inequality plot for

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Taylor will order one t-shirt for each person who attends her family's reunion. The cost is
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Answers

Answer:

C) 70

Step-by-step explanation:

Since they can only spend a maximum of $600, we can fill that in for c. Now, we can solve the equation for n.

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~Subtract 40 to both sides

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Answers

Answer:

Step-by-step explanation:

first, your answer will be negative,

x^12*(2y)^3=x^12(8y^3)

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Answers

Answer:

5/4 or 1 1/4

Step-by-step explanation:

w+6=2(w-6) what is the answer?​

Answers

Answer:

w = 18

Step-by-step explanation:

w+6 = 2(w-6)

w+6 = 2w-12

2w-w = 6+12

w = 18

hope it helps

Answer:

[tex] \huge \boxed {w = 18}[/tex]

Step-by-step explanation:

Distribute 2 in the bracket.

[tex]w + 6 = 2w - 12[/tex]

A constant and variable cannot add up or subtract each others. Therefore, move the same term to the same side.

[tex]12 + 6 = 2w - w \\ 18 = w[/tex]

Answer Check

Substitute w = 18 in the equation.

[tex]18 + 6 = 2(18) - 12 \\ 24 = 36 - 12 \\ 24 = 24[/tex]

Therefore w = 18 is the correct answer.

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3

Answers

Answer:

x = 1.7

Step-by-step explanation:

Given

-½ + 5x = 8

Required

Find x

-½ + 5x = 8

Multiply both sides by 2

-1 + 10x = 16

Collect like terms

10x = 16 + 1

10x = 17

Divide both sides by 10

x = 1.7

Answer:

8, and 2

Step-by-step explanation:

(btw the three in the question is suppose to be a 2)

but those two are the only ones that you can add and the equation still equal 8.  

<3

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Answers

Answer:

(3,1)

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Answers

Answer:

I am pretty sure it is A because it is -5 and then +2

Step-by-step explanation:

I hope this is right

I hope this helps you...

Answer:

option A

Step-by-step explanation:

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You and your family went out to eat at The Cheesecake Factory. The bill is $120, you want to leave an 18% tip and have to pay a 6% tax. What is the total you have to pay for the everything?

Answers

Find the tip:

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$120 * 0.18 =

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Find the tax:

$120 * 6% =

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Find the answer:

$120 + $21.60 + $7.20 =

$148.80

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