If Circle A has a radius that is five more than twice as long as the radius of circle B and the sum of the diameters of the circle is 88 inches, find the area and circumference of circle A

Answers

Answer 1

Answer:

Circumference of a circle A = [tex]389.7 \,\,inches[/tex]

Area of a circle A = 12081.1 square inches

Step-by-step explanation:

Let [tex]r[/tex] denotes radius of circle B.

Circle A has a radius that is five more than twice as long as the radius of circle B.

So,

Radius of circle A = [tex]5+2r[/tex]

Diameter of circle = 2 (radius of circle)

So,

Diameter of circle B = 2r

Diameter of circle A = [tex]2(5+2r)[/tex]

Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]

                                                                         [tex]=2r+10+4r[/tex]

                                                                         [tex]=6r+10[/tex]

As sum of the diameters of the circles is 88 inches,

[tex]6r+10=88\\6r=78[/tex]

[tex]r=13[/tex] inches

Radius of a circle A = [tex]2(5+2r)[/tex]

                                [tex]=2[5+2(13)][/tex]

                                [tex]=2(5+26)[/tex]

                                [tex]=2(31)[/tex]

                                [tex]=62[/tex] inches

Let R denotes radius of a circle A.

R = 62 inches

Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]

Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches


Related Questions

a parallelogram has one angle that measures 65 what are the other three angles

Answers

Answer:

Step-by-step explanation:

65,115,115

one number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?

Answers

Answer:

x =5 & y =9

Step-by-step explanation:

let anumber x & y

-(x + 2y = 23)

4x + 2y = 38

-x -2y = -23

4x + 2y = 38

-x + 4x + 2y - 2y = 38-23

3x+0 = 15

3x /3 = 15/3

x = 5 then

5 + 2y = 23

2y = 23-5

2y/2 = 18/2

y = 9

therefore y =18 and x = 5

Rob bought a hat and 3 shirts for $35. Dan bought 2 hats and a shirt for $20.

Which system of equations can be used to find s , the cost of one shirt, and h , the cost of one hat?

Answers

Answer:

1 shirt costs $11.2 1 hat costs $10.

Step-by-step explanation:

35 divided by 3

20 divided by 2

can anyone help me with this question?

Answers

Answer:

45 and 13…......

Step-by-step explanation:

devide

URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!

Answers

Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation:

Can you help me please thank you

Answers

c × c = c²

c × -5 = -5c

8 × c = 8c

8 × -5 = -40

arrange

c² -5c +8c -40

c² +3c -40

answer is B

Answer:

c^2 + 3c - 40

Step-by-step explanation:

seriously dude all you have to do is use an online calculator or something

please don't put any links or I'll report you:)​

Answers

His tip was a total of $6.26

Answer:

Hey I have the answer in a link

Look down For link!

Cmon half way there

jkjk

First part (tip amount)

$6.26

Second part (Total bill)

$41.04

Step-by-step explanation:

Well to find the percentage of a number, convert the percent into a decimal which is basically moving the decimal place 2 places to the left. THen you multiply that amount by the original number an din this case you would get 6.2604. You round that to the nearest penny (or hundreths) and you;d get $6.26. Thats the first part

The second part is simple, you add the tip with the total bill and you would get $41.04.

Jimrgrant or Someone Answer this PLZ

Answers

Answer:

C and A

Step-by-step explanation:

For the triangle to be isosceles then the legs are congruent, that is

XZ = XY , substitute values

5x - 1 = 3x + 5 ( subtract 3x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3 → C

(10)

The diagonals of a square bisect each other

Calculate PR using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)

PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]

     = [tex]\sqrt{6^2+(-8)^2}[/tex]

     = [tex]\sqrt{36+64}[/tex]

     = [tex]\sqrt{100}[/tex]

     = 10

Then

PT = 0.5 × 10 = 5 → A

Please help no links

Answers

Answer: Big rectangle shades 1/4+1/2

Step-by-step explanation:

So have a Big

Use The Figure Below to Solve For x.

Answers

Answer:

x=-1

Step-by-step explanation:

Hello there!

The information we are given:

We are told that the distance from point a to c is x + 10

We are told that the distance from a to b is 5

we are also told that the distance from b to c is 2x+6

Because from point A to B and B to C is inside the total of A to C we can add the two together and create a equation to solve for x

so the sum of the two parts 5 + 2x + 6

*combine like terms*

11 + 2x

is equal to the total distance (x+10)

now we solve for x

11 + 2x = x + 10

step 1 subtract x from each side by

2x - x =  x

x -x cancels out

now we have 11 + x = 10

step 2 subtract 11 from each side

11-11 cancels out

10 - 11 = -1

we're left with x = -1

Now lets plug in x and see if A to C is equal to A to B + B to C

(-1) + 10 = 5 + 2(-1) + 6

10 - 1= 9

2*-1=-2

6-2=4

4+5=9

9=9

which is true so we can conclude that x = -1

Does the figure below have rotational symmetry? Explain.

A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.

Answers

Answer:

B.) Yes; it can be rotated 180° or less and match the original figure.

Step-by-step explanation:

You have to trust me its b I did the quiz on Pearson Conexus. I would show a picture but I'm on pc and don't know how to .

My answer will help.

Anyways, have a great day/night !! <3

Step-by-step explanation:

Does the figure below have rotational symmetry? Explain.

A.)Yes; it can be rotated 360° or less and match the original figure.

B.)Yes; it can be rotated 180° or less and match the original figure.

C.)No; it does not match the original figure after any rotation of 180° or less.

D.)No; it does not match the original figure after any rotation of 360° or less.

Vincent paints 75% of his statues. He paints 60 statues. How many statues does Vincent have in total?

Answers

Answer:

80

Step-by-step explanation:

Let the total number of statues be s.  Then 0.75s = 60, and s = (4/3)(60 statues) = 80

He has 80 statues total.

En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima

Answers

Answer:

5:30 p.m.

Step-by-step explanation:

30.15 - 6 = 24.15

24.15 / 2.3 = 10.5 hrs

7 + 10.5 = 17.5 = 5:30 p.m.

The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

What is the range of the set of data?

Answers

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

Help with my mathhh!

Answers

Answer:

Step-by-step explanation:

d

Answer:

<BOF

Step-by-step explanation:

sum of both these angles is 180 so C is the answer.

I’m not sure how to solve this problem

Answers

Answer:

a

Step-by-step explanation:

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

anyone know the answer?

Answers

I legit can’t see it

hi besties help me

Answers

Same I also need help ;-;

Same I need help :/.

Solve the system of equations shown below?

Answers

(6,4) x=4 and y=6. hope this helps

How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.

y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line

Answers

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

HElp pls :((((((((((((

Answers

Answer:Just add them all

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

First you have to find the percentage of pan crust to all the other crusts to do this you add all the crusts together:

397+220+167+196 = 980

Then divide 196 by 980:

196/980 = .2 or 20%

Then multiply 400 by 20%

400*20% = 80

Simplify
3 x 34
leaving your answer in index form.

Answers

Answer:

Multiply  34  by 3  

102x

this is the simplified version

A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.

Answers

Answer:

Length of rectangle = 51 cm

Width of rectangle = 24 cm

Step-by-step explanation:

Given:

Perimeter of rectangle = 150 cm

Find:

Length and width of the rectangle

Computation:

Assume;

Width of rectangle = a cm

Length of rectangle = 2a + 3 cm

Perimeter of rectangle = 2[l + b]

150 = 2[(2a + 3) + a]

2[3a + 3] = 150

6a + 6 = 150

6a = 144

a = 24

Width of rectangle = 24 cm

Length of rectangle = 2a + 3 cm

Length of rectangle = 2(24) + 3 cm

Length of rectangle = 51 cm

2. The two figures are similar. Write the similarity statement. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image (Hint: What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?

Answers

Answer:

1.66666666667

Step-by-step explanation:

I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!

The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.

Answers

Answer:

[tex](4,-20)[/tex]

Step-by-step explanation:

Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]

Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]

Therefore,

[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]

So, the other point is [tex](4,-20)[/tex]

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Answers

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

Choose the correct statement about best-fit lines.
a.
A best-fit line is close to most of the data points.
b.
A best-fit line describes the exact coordinates of each point in the data set.
c.
A best-fit line always has a positive slope.
d.
A best-fit line must go through at least two of the data points.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

A line of best fit is a line that gives an estimate of where the line would be, therefore it is close to most of the data points.

Answer:

A)

Step-by-step explanation:

Help me plz!! I need help and NO FILES PLZZZZZZZ!

Answers

Answer:

1

EXPLAINATION:

y = mx +b

b = y intercept

A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?

Answers

Answer: 60 mph

Step-by-step explanation:

Given

The red car left at 9 am and arrives at 1 pm

time taken by the red car [tex]t_a=4\ hr[/tex]

time taken by the blue car [tex]t_b=3\ hr[/tex]

Assume the speed of the red car is v

So, the speed of the blue car is v+15

distance traveled by them is the same

[tex]\Rightarrow v\times 4=(v+15)\times 3\\\Rightarrow 4v=3v+45\\\Rightarrow v=45\ mph[/tex]

Thus, the speed of the blue car is [tex]45+15=60\ mph[/tex]

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