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3 years ago

What is the area of this partial circle with a radius of 14 inch

Mathematics

1 answer:

AveGali [126]3 years ago

6 0

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by $\pi r^2$ so insert 14 for the radius.

$14^2\pi$

$196\pi$

divide the area by 2

$98\pi=307.876$

Hope that helps :)

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A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor of t

mariarad [96]

Answer:

scale factor = 5

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is

scale factor = $\frac{55}{11}$ = $\frac{45}{9}$ = 5

8 0

3 years ago

Josh and Greg leave from the same place

nasty-shy [4]

9514 1404 393

Answer:

Josh: 32 mph, 64 mi
Greg: 64 mph, 320 mi

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

distance = speed · time

distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

distance = speed · time

distance = (2x) · 5 = 10x

The distance they are apart is ...

10x -2x = 256

8x = 256

x = 32

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation

6 0

3 years ago

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
 
$

$-(4p+2)=3$

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

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

$4p=1$

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

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

$-4p−2=3$ $Simplify \ brackets$

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

$-4p=5$

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

$Collect \ all \ solutions$

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

8 0

3 years ago

Can anyone help me with this one

aleksandrvk [35]

50 hours!

825 (paycheck left over) + 25 (the shirt that was subtracted because he bought it) = $850 total
850 (total amount this week) / 17 (the amount he makes per hour) = 50 (total amount of hours worked this week)

8 0

2 years ago

Let tan(x)=25tan(x)=25 . What is the value of tan(π−x)tan(π−x) ?

Ghella [55]

Given tan(x)=25
we need to find tan(π-x)=cot(x) = 1/tan(x) = 1/25

Answer: tan(π-x)=1/25.

4 0

3 years ago

Read 2 more answers