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IceJOKER [234]
2 years ago
5

A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the comb

ined area, in square inches, of the circular mirror and the frame? *
Mathematics
1 answer:
Lapatulllka [165]2 years ago
8 0

Answer:

254.5 in.^2

Step-by-step explanation:

diameter of mirror = 12 in.

radius of mirror = diameter/2 = 13 in. / 2 = 6 in.

frame width = 3 in.

radius if combined mirror and frame = 6 in. + 3 in. = 9 in.

A = (pi)(r^2)

A = 3.14159 * (9 in.)^2

A = 3.14159 * 81 in.^2

A = 254.5 in.^2

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How many centimeters are in 1 mile
kvasek [131]

Answer:

1 mile = 160934 cm

Step-by-step explanation:

1 mile = 1609.34 m

1 m = 100 cm

1 mile = 1609.34 * 100 = 160934 cm

3 0
3 years ago
Read 2 more answers
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission ​
ioda

Answer:

$3063.6

Step-by-step explanation:

72% of $4,255 = $3063.6

The formula for finding percents is number x percent ÷ 100.

4,255 x 72 ÷  100 = 3063.6

8 0
2 years ago
1/2 ln(x + 3) - lnx = 0 solve for x
rusak2 [61]
1

 

Simplify \frac{1}{2}\imath n(x+3)​2​​1​​ın(x+3) to \frac{\imath n(x+3)}{2}​2​​ın(x+3)​​

\frac{\imath n(x+3)}{2}-\imath nx=0​2​​ın(x+3)​​−ınx=0


2

 

Add \imath nxınx to both sides

\frac{\imath n(x+3)}{2}=\imath nx​2​​ın(x+3)​​=ınx


3

 

Multiply both sides by 22

\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2


4

 

Regroup terms

\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı


5

 

Cancel \imathı on both sides

n(x+3)=nx\times 2n(x+3)=nx×2


6

 

Divide both sides by nn

x+3=\frac{nx\times 2}{n}x+3=​n​​nx×2​​


7

 

Subtract 33 from both sides

x=\frac{nx\times 2}{n}-3x=​n​​nx×2​​−3


6 0
3 years ago
In a particular year, a total of 50,127 students studied in two of the most popular host countries when traveling abroad. If 838
Arlecino [84]

Answer:

In the most popular abroad country: 29,255 students

In the second-most one: 20,872 students

Step-by-step explanation:

Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.

7 0
2 years ago
SungHee empties her piggy bank and finds that that she has 200 quarters 150 dimes and 300 pennies. How much money does she have
gayaneshka [121]
A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3

for a total of : 50 + 15 + 3 = $ 68 
6 0
3 years ago
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