A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 15x. What is the area of the metal​ frame? Write answer in factored form


Answers

Answer 1

Answer:  Consider:   square ... side length 15x

The area of a square with side s is s2.

  The area of a square with side 15x is 225x2.

  circle .. radius 5x,  Area of circle is  πr2.   Area of mirror is  25πx2        

Step-by-step explanation ;)


Related Questions

QUESTION 1 What is the median of the data set? 23 19 13 11 17 19 18 12 17 19

Answers

Answer:

17.5

Step-by-step explanation:

First you need to put those numbers in order from least to greatest

second go from each side and count till you get to the middle 17 and 18

third add 17 + 18 = 35

fourth divid by 2 35/2 = 17.5

Hope this helps

Solve. - 5 3/4 - 3 1/2

Answers

Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form: −37/4

Step-by-step explanation:

The answer is -9.25 I hope I helped

Sybil's desk is 65 centimeters long. She says her desk is 6.5 meters long. Complete the explanation of her error. Sybil may have confused the units, since 65 centimeters is 6.5 --------------------- The correct length of the desk in meters is ----------------------- because a centimeter is--------------- of a meter.

Answers

Answer:

Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.

Step-by-step explanation:

Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .

1 centimetre = 0.01 meters

65 centimetres = ? meters

cross multiply

65 × 0.01 = 0.65  meters

A centimetre is equal to  0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.  

The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.

Solve y = x + 6 for x.



A. x = y + 6

B. x = -y + 6

C. x = y - 6

D. x = -y - 6

Answers

You answer is the second

Answer:

B: x = -y+6

Step-by-step explanation:

Since y = x+6:

Bring x and y to their opposite sides:

x = -y+6

I hope this helps and plz mark me brainliest!!

Correct Answers only!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

Mabel is the costume manager for a large theater company. She has 20 different hats,
including 4 pork pie hats.
What is the probability that a randomly chosen hat from Mabel's inventory will be a pork pie
hat?
Write your answer as a fraction or whole number.
P(pork pie hat) =
Submit​

Answers

Answer:

4/20 or 1/5 being simplified

Step-by-step explanation:

PLZ HELP ME I DON'T WANNA FAIL THIS

Answers

Answer

Step-by-step explanation:

sentence 3 does not use a correct verb.

what is the answer to y+5=2(x+1)

Answers

Answer: y + 5 = 2 ( x + 1 ) = 2 x − y + 2 = 5

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 3/2 = 1.50000

 y-intercept = -3/1 = -3.00000

Step-by-step explanation:

I hope this helped!

A daycare center charges $300 per month for preschool and $3.50 per hour every hour after preschool. The function c = 300 + 3.50h can be used to represent the total cost c of monthly preschool and childcare, where h is the number of hours spent in childcare after preschool. If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool? *

Answers

Answer:

The total number of hours the child spent in childcare after preschool was 96.5.

Step-by-step explanation:

The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:

[tex]c(h) = 300 + 3.5h[/tex]

If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?

This is h when c(h) = 637.75. So

[tex]c(h) = 300 + 3.5h[/tex]

[tex]637.75 = 300 + 3.5h[/tex]

[tex]3.5h = 337.75[/tex]

[tex]h = \frac{337.75}{3.5}[/tex]

[tex]h = 96.5[/tex]

The total number of hours the child spent in childcare after preschool was 96.5.

Find the circumference of a circle whose area is 24 ft2

Answers

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

[tex]A=\pi r^2[/tex]

Solve for r;

Divide by pi

[tex]r^2=\frac{A}{\pi}[/tex]

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

Help me it’s urgent

Answers

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

What is the solution to the system of equations?
y = *x+3
X = -2
• (-2. -
15
• (-2, 4)
• 6-2.1

Answers

Answer:

(-2,1)

Step-by-step explanation:

The two equations cross at (-2,1). Hope this helps.

Trace a pattern block. Divide it into two equal parts, and write a unit fraction to describe the area of each part. Explain your work.

Answers

Answer:

1/2

Step-by-step explanation:

The unit fraction for an area (or anything, for that matter) divided into 2 parts so the area of each one is equal to each other and be a haft of the original block. Please have a look at the attached photo.

What is the area of triangle MOL? 200 square units 250 square units 300 square units 500 square units

Answers

Answer:

300 square units

Step-by-step explanation:

explanation-because i just know

Answer:

300

Step-by-step explanation:

300 is correct

Just got it correct on Edge IYI

Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years

Answers

Answer:

He will earn an interest of $448 in 4 years

Step-by-step explanation:

In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.

To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition

Mathematically;

I = PRT/100

Where ;

P is the amount invested which is $1,750 according to the question

R is the interest rate which is 6.4%

T is the time which is equal to 4 years

Plugging these figures, we have

I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448

Los alumnos de una clase han formado 4 equipos para hacer un mural en una pared del patio. Los equipos tienen 8,7, 10 y 5 componentes. Si la pared mide 12 m de largo, ¿cuántos metros de pared le corresponde a cada equipo para que sea proporcional al número de componentes?

Answers

Answer:

8 - 3.2m

10- 4m

7- 2.8m

5- 2m

Step-by-step explanation:

Aquí, podemos hacer los componentes en forma de relaciones para conocer la longitud equivalente de cada uno de los componentes a la longitud total de la pared.

Ahora usando los componentes en forma de proporciones, tenemos 8: 7: 10: 5. sumando todos los componentes juntos, tenemos; 8 + 7 + 10 + 5 = 30.

Para 8, tenemos 8/30 * 12 = 3.2 metros

para 7, tenemos 7/30 * 12 = 2.8 metros

Para 10, tenemos 10/30 * 12 = 4 metros

para 5, tenemos 5/30 * 12 = 2 metros

Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?

Answers

Answer:

49/20 miles or 2.45 miles

Step-by-step explanation:

LCM(1,2,3,4,5,6,)=60

10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45

A school team won 15 out of 20 games. Express this as a ratio in lowest terms.

Answers

Answer:

3/4 or 3:4

Step-by-step explanation:

To express this as a ratio, we simply place 15 over 20

mathematically that would be;

15/20

divide numerator and denominator by 5

= 3/4

Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?

Answers

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

The list below show test scores for 1st period on a recent test. Finding the mean deviation. 62 63 64 71 96 97 98 99 100 100

Answers

Answer:

16

Step-by-step explanation:

just use a mean absolute deviation calculator next time

Consider rectangle ABCD with diagonals BD and AC

intersecting at

Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and 2 CED are vertical angles and equal

76

ZABE and 2 CBE are complementary angles,

BEC and CED are vertical angles,

-------

BEA and AED are supplementary angles

whose sum is 180°

O

BEC and

AED are adjacent angles,

Answers

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

BEA and 2×CED are vertical angles and equal  76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles  whose sum is 180° BEC and  AED are adjacent angles,

Answer:

it is abd

Step-by-step explanation:

out of 17,21,14,17,12,15,16 what is the mean?

Answers

Answer:

mean  is 16

Step-by-step explanation:

to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.

17+21+14+17+12+15+16 = 112

then u see how many number there are and there are 7

112/7= 16

Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.

Answers

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

The simplified form of 3root45 - root 125 + root 500

Answers

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807

The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?

Answers

Answer:

9:2

Step-by-step explanation:

Put in what we know

cars: motorcycles

9         2

Find the length of the third side to the nearest tenth.

Answers

Answer:

What’s the third length?..

Step-by-step explanation:

if the population is growing by 17% you will use 1.17 as your rate in the equation true or false

Answers

Answer:

False. 0.17

Step-by-step explanation:

Which equation can be used to find the unknown length, a, in this triangle?

Answers

You need more information. Maybe a picture?

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Step-by-step explanation:

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