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3 years ago

Find the area of the circle with a circumference of 30 radius . Write your solution in terms of radius

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

Answer:

2826

Step-by-step explanation:

30×30×3.14= 900×3.14= 2826

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3 years ago

Read 2 more answers

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$ $Subtract \ 2 \ from \ both \ sides$

$4p=1$

$p= \dfrac{1}{4}$ $Divide \ both \ sides \ by \ 4$

$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$ $Simplify \ brackets$

$-4p=3+2$ $Add \ 2 \ to \ both \ sides$

$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

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3 years ago

Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of t

slega [8]

Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph

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3 years ago