A circular mirror is surrounded by a square metal frame. The radius of the
mirror is 4x. The side length of the metal frame is 16x. What is the area of the
metal frame?

Answers

Answer 1

Answer: [tex]= 240x^2[/tex]

Step-by-step explanation:

Area of the entire frame = [tex](16x)^2 = 256x^2[/tex]

Area of the mirror = area of a circle = [tex]\pi r^2[/tex]

= [tex]\pi(4x)^2[/tex]

Area of the metal frame surrounding the mirror = square area - circle area

[tex]= (16x)^2-(4x)^2[/tex]

[tex]= 240x^2[/tex]


Related Questions

Pls help me on this problem I’m confused

Answers

Answer:

if we have 3, 2 pound bricks we have 6 pounds

1 pound = 16 ounces

16 × 6 = 96 ounces

96 ÷ 4 = 24

only 24 people got bricks so he needs to give 4 people more

4 ounces each for 4 people is 16 ounces

answer: 16 ounces

Which graph has a slope of 4/5​

Answers

Answer:

Step-by-step explanation:

i would be keen to answer your question.

but please provide more information in order for us to help you solve the problem.

thanks.

Answer:

I believe it is the first one. I know it isn't the second one

If you can answer this correctly i'll give you brainliest

Answers

Answer:

A-3n-5=-48+(-45n)

B--5=-48-42n

C--43=-42n

43/42=n

Which statement describes a process to solve square root b plus six minus square root b =5 Add a radical term to both sides and square both sides only once. Add a constant term to both sides and square both sides only once. Add a radical term to both sides and square both sides twice. Add a constant term to both sides and square both sides twice.

Answers

Answer:

Add a radical term to both sides and square both sides twice.

Step-by-step explanation:

Given the radical equation

√(b+6) - √b = 5

We are to evaluate the expression for the value of b

Step 1: Add the radical term √b to both sides

√(b+6) - √b +√b = 5+√b

√(b+6) = 5+√b.

Step 2: Square both sides of the equation

(√(b+6))² = (5+√b.)²

b+6 = 25+10√b+ (√b)²

b+6 = 25+10√b + b

Step 3: collect like terms

b+6-b-25 = 10√b

-19 = 10√b

Step 4: square both sides of the resulting equation

(-19)² = (10√b)²

361 = 100b

b = 361/100

b = 3.61

Based on the calculation above, the correct option is C.

Add a radical term to both sides and square both sides twice.

Answer:

C

Step-by-step explanation:

edg 2021

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Answers

Answer: 66.5 inches

Step-by-step explanation:

Writing you are adding two rational numbers with different signs. How can you tell if the sum will be positive, negative, or zero

Answers

Answer:

If the 2 numbers are the same, it will be zero. If the positive number is larger than the negative number, the sum will be positive. If the negative number is larger than the positive number, then the sum will be a negative number.

Step-by-step explanation:

5 times a number, increased by 2
less than twice the number, is 40.
Find the number.

Answers

Answer:

21/5 or 4.2

Step-by-step explanation:

we need to repeat the steps backward.

"increased by 2 than less than twice the number"

we need to add 2 to 40 and divide by 2 . (40+2)/2 = 21. "5 times a number"

the previous result has to be divided by 5.

(21)/(5) = 21/5 =  4.2

Proof:

"5 times a number, increased by 2

less than twice the number, is 40."

2( 5( 21/5 ) ) - 2 =2( 21 ) - 2 = 42-2 = 40

Also, please mark me as brainliest.

Bridget was thinking of a number. Bridget halves it and gets an answer of 31.3. What was the original number?​

Answers

Answer:

62.6

Step-by-step explanation:

if 32.3 is a half of a number then multiply it by 2.

32.3 x 2 = 62.6

f(x) = -4(x − 8)2 + 3 axis of symmetry

Answers

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

can you please help me figure this problem out

Answers

Answer:

A. 3 3/4 hours = 3.75 hours

I hope this helps, please rate!

Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction

Answers

The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

 

What is a complex fraction?

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]

[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]

[tex]=\dfrac{2y-1}{3y+1}[/tex]

Hence the expression which is equal to the given complex fraction will be

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]

To know more about complex fractions follow

https://brainly.com/question/13006290

Answer:

D

Step-by-step explanation:

edge 2022

A shoe store stocks 4 pairs of boots for every 5 pairs of athletic shoes. When the store stocks 40 pairs of athletic shoes, how many pairs of boots will they stock?

Group of answer choices

A. 16

B. 20

C. 32

D. 35

Answers

Answer:

32

Step-by-step explanation:

40/5=8

8×4=32

Answer:32

Step-by-step explanation:the ratio is 4 boots for every 5 athletic shoe so you divide 40 by 5 and get 8 so you have to multiply 8 by 4 which 32 so when they stock 40 pair of athletic shoes they will also stock 32 pairs of boots

vi) Briefly explain the effects of migration in various areas.

Answers

Answer:

first it is not a maths question

second the ans to the question

Step-by-step explanation:

please mark brainliest

plezzzzz........

Migration is when people move from one place to another.

The impact of people moving from one place to another can either be positive. The positive aspects are:

The people can enjoy better infrastructural facilities like good roads, stable power supply etc.The standard of living of the people can be enhanced.There will be access to education and job opportunities for the migrants.

The negative effects of migration can include

Pressure on the public services and the natural resources.

Overcrowding.Increase in pollution.Increase in social vices like robbery.

Read related link on:

https://brainly.com/question/18678134

please help thank you

Answers

Answer:

1. 150.8 in³ (rounded to tenths place) or 48π (in terms of Pi) depending on whether your teacher wants the answer in terms of Pi or not.

2. 113.1 in³ (rounded to tenths place) or 36π (in terms of Pi)

Step-by-step explanation:

The formula for the volume of a cylinder:

height of the cylinder X Pi X (radius of the cylinder)²

1. 4² is 16, 16*3 is 48, times Pi is 48π or 150.796447.

2. 3² is 9, 9*4 is 36, times Pi is 36π or 113.097336

Let me know if you need help rounding to hundredths or thousandths place.

Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a function, f(x) , that is equal to the amount of money in the account after Raul pays the dog sitter each week .

Answers

Answer:

f(x) = -25d + 3,500

Step-by-step explanation:

Raul opened a savings account with $3,500.

Each week, Dale pays the dog sitter $25 from his saving account.

Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.

The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is

Initially, at week d=0, Raul's account has $3,500, so b=3,500.

Write the function's expression in the form

f(x) = md + b

Hence,

f(x) = -25d + 3,500

The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
25%
6.3%
95.5%
4.5%

Answers

Answer:

25%

Step-by-step explanation:

so you will add 4,3,5=12

3/12=0.25 then = 25%

The probability that both Michelle and Garth will drive a red bumper car is calculated as; 4.5%

What is the Probability?

We are told that;

Number of red cars = 3 red cars

Number of green cars = 4 green cars.

Number of blue cars = 5 blue cars.

Total Number of Cars = 3 + 4 + 5

Total number of Cars = 12 cars

Probability that Michellewill drive a red bumper car is;

P(A) = 3/12

Probability that Garth will drive a red bumper car is;

P(B) = 2/11

Probability that both Michelle and Garth will drive a red bumper car is;

P(A ∩ B) = (3/12) × (2/11)

P(A ∩ B) = 0.045 = 4.5%

Read more about Probability at; https://brainly.com/question/251701

What is the positive solution to the equation 0 = –x2 2x 1? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction –2 startroot 2 endroot 2 – startroot 2 endroot 1 startroot 2 endroot –1 startroot 2 endroot

Answers

The positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

Given quadratic equation is:

[tex]-x^{2} +2x+1=0[/tex]

What is the general form of a quadratic equation?

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] and [tex]a\neq 0[/tex].

On comparing with general form of quadratic equation

a = -1

b = 2

c = 1

So, from the Shreedharacharya formula,

[tex]x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

[tex]x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}[/tex]

[tex]x = 1-\sqrt{2} \\x=1+\sqrt{2}[/tex]

as [tex]x = 1-\sqrt{2}[/tex] is negative

So, the positive solution is [tex]x=1+\sqrt{2}[/tex]

Therefore, the positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Answer:  x = 2 + √2. x = 2 - √2 ·

Step-by-step explanation:

- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1

Using the following function, explain how the following features (asymptotes,
intercepts, holes) can be identified/constructed in the graph.
3(2-3)(x+2)(x-4)/8(6+9) (2-3)

Answers

The given asymptote, intercepts and holes of the given function depends

on the numerator and denominator of the function from which we have;

The vertical asymptote is the line x = -9The x-intercept occurs at the points, x = -2, and x = 4, the y-intercept is located at the point at which y = [tex]-\dfrac{1}{3}[/tex]

The hole is at the point (3, 0)

How can the properties of the function be found?

The given function is presented as follows;

[tex]f(x) = \mathbf{ \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}}[/tex]

Given that there is a common factor of (x - 3) in the numerator and the denominator,  we have;

[tex]f(x) = \mathbf{\dfrac{3 \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9)}}[/tex]

The asymptote is obtained by equating the denominator to zero as follows;

8·(x + 9) = 0

x = -9

The asymptote is the line x = -9

The intercepts is given by the points the x or y-value are zero, which gives;

[tex]At \ an \ intercept, \ f(x) = \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}= 0[/tex]

3·(x - 3)·(x + 2)·(x - 4) = 0

Therefore;

x = -2, x = 4 at the x-intercepts

[tex]At \ the \ \mathbf{y-intercept}, \ f(0) = \dfrac{3 \cdot (0- 3) \cdot (0 + 2) \cdot (0 - 4)}{8 \cdot (0 + 9) \cdot (0 - 3)}= -\dfrac{1}{3}[/tex]

The hole is given by the point where the function is zero.

Placing (x - 3) = 0 in the denominator

Therefore;

A hole is the point x = 3

Learn more about asymptotes and intercepts here:

https://brainly.com/question/9170705

find the compunt intrest on rs 31250 at 12 % per annum for 12 1/2 years

i will mark you as the brainlest if you give a step by step solution ​

Answers

Answer:

$128847

Step-by-step explanation:

given Principle at 31250

and rate = 12%

and time 12.5 years

the amount would be given by the equation

[tex]P(1+\frac{rate}{100})^{time}[/tex]

plug in values to get

[tex]31250(1+\frac{12}{100})^{12.5}[/tex]

end up with value $128847

find the surface area no links no pdfs just type it into the answer section will give brainliest

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}[/tex]

Probability: Sample Space, (In)dependent events

A coffee shop offers French roast and
Italian roast coffee.

Answers

Judgement will call the French toast

The radius of a circle is (x + 9) cm. Find the area of the circle in terms of the variable x. Leave the answer in terms of .

Answers

Answer:

Area of Circle = πr²

22/7(x + 9)²

3.14 × (x²+ 81 + 18x)

Simplify 5.5.5.5
I’m very confused

Answers

Answer:

25

The dot means multiplication. 5.5.5 is 125. 125/5 is 25.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The . or point means multiply :

5.5.5 / 5

= 125 / 5

= 25

25 is your answer. I think this helps !!!!!

Thank you ☺️☺️

can someone please help me?? (in 10 minutes tops)
A pair of parallel lines is cut by a transversal:

A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.

What is the measure of angle x?

a. 50 degrees
b. 55 degrees
c. 60 degrees
d. 80 degrees

(sorry, the picture didn't load with it :(

Answers

Answer:

I'm sorry I couldn't answer in time but I believe it to be 60.. I might be wrong though.

Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

Answers

Answer:

Equation: [tex]\frac{x + 19}{5} = 8[/tex]  Solved: x = 21

Step-by-step explanation:

Let x be the number

Write an equation to match the description: [tex]\frac{x + 19}{5} = 8[/tex]  Multiply each side by 5 to cancel out the 5 under x + 19. It should now look like this: x + 19 = 40Subtract 19 from each side, so it now looks like this: x = 21

I hope this helps!

Ibenhal is thinking of the number 21

21+19 = 40
40/5 = 8

In a standard Normal distribution, what percentage of observations lie above z = 1.65?

Answers

Answer:

The percent is 4.9471%

Step-by-step explanation:

Here, we want to find the percentage of observations that lie above z = 1.65

Firstly we find the probability of x < z = 1.65

Hence P ( x > 1.65)

This is obtainable from the standard normal distribution table

The value of P(x > 1.65) = 0.049471

This represents a percentage of 4.9471%

Answer:

4.95/4.9471 is correct

ED2021

Make C the subject of the formula:
F=9/5 C + 32​

Answers

1)-9/5C=-F+32
2)9/5C=F-32
3)9C=5(F-32)
4)C=5/9(F-32)

The total degree measure for all the interior angles of a 17-gon is (blank)
degrees.

Answers

Answer: 2700 degrees

=================================

Work Shown:

n = number of sides = 17

S = sum of the interior angles of a polygon

S = 180(n-2)

S = 180(17-2)

S = 180*15

S = 2700

Answer:

2,700°

Step-by-step explanation:

Total degree measure for all the interior angles of a 17-gon

[tex] = (n - 2) \times 180 \degree \\ \\ = (17 - 2) \times 180 \degree \\ \\ = 15 \times 180 \degree \\ \\ \huge \red { \boxed{ = 2,700 \degree}}[/tex]

Write an equation for the table in the slope intercept form.

Answers

Answer:

C. y=1.6x-5

Explanation:

-5-(-8.2)= 1.6

1.6=m

-8.2=1.6(-2)=b

1.6(-2)=-3.2

-8.2-(-3.2)=-5

-5=b

hope this helps =3

T is the midpoint of SU. If ST = x + 3 and SU = 3x − 1, what is ST?

Answers

Answer: 4

Step-by-step explanation:

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