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


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Answer:

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Step-by-step explanation:

1) multiply all the numerator part

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Step-by-step explanation:

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what is the equation of a line parallel to the following line that passes through the points given. y=-4x+6 (2,-1)

Answers

Answer:

Short Answer Type:

y = -4x + 6

Therefore slope = (-4)

Given:

Point = (2,-1)

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Therefore: -1 = -8 + c

=> c = 7

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Step-by-step explanation:

so a rhombus is two triangles put together,  the area of a triangle is  1/2 b*h   and since we've got two  it's  2 ( 1/2 b * h )   so then it'  just  b * h

will be the area of the rhombus.    

the base is WY = 24 the height is  1/2 XZ = 30  so  15

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What’s the area of this polygon answer ASAP my teacher died

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Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

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= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

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__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

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Select two equations of lines that are perpendicular
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Answers

Answer: I know C it’s one answer

Step-by-step explanation:

This table represents Mindy's check register. Her checking account had a balance of $647.60 on November 20.

Use the information in the check register to determine the balance of Mindy's checking account after the transaction on December 10.

Enter your answer in the box.

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Answer:

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i got it right

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Answers

Answer:

2x - 7y = -34.

Step-by-step explanation:

As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be

-1 /(-7/2) = 2/7.

Now we find the point of intersection ofn the 2 given  lines:

x    + y = 10

3x - 4y = -12

Multiply the first equation by -3:

-3x - 3y = -30

Now add this last equation to the second one:

-7y =  -42

y = 6

Plug y = 6 into the first equation:

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y - 6 = 2/7(x - 4)

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2x - 7y = -42 + 8

2x - 7y = -34

Answer:

y=(2/7)x+(7/3)

Step-by-step explanation:

y=-7/2(x)+9

y=mx+c

Therefore, slope of line y is -7/2

Because line y perpendicular to the required line

Therefore, slope of the required line is 2/7

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3x-4y = -12 ......(2)

(1) x 4:

4x+4y =40 ......(3)

(3) + (2)

4x+4y+3x-4y=28

x=4

by substituting x=4 into (1), we have

y=10-4=6

Therefore, the point that the line intersects is (4, 6)

let y=(2/7)x+c be the required equation

(4, 6):

6=(2/7)4+c

c=21/4

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Answers

Answer:

x = 25°

Step-by-step explanation:

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inches wide, and 12 inches high. What is the volume of the box?


The volume of the cereal box is blank cubic inches.

Answers

Answer:

V = 255

Step-by-step explanation:

Cereal box is a rectangular prism.

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Height of the cereal box = 12 inches

Then

Volume of the cereal box = Length * Width * Height

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One brand of horse feed is made of oats and barley. The ratio of oats to barley is 4 : 11 by mass. How many kilograms of each grain are needed to make 150 kg of feed? (Show your thinking)

Answers

Answer:

Below in bold.

Step-by-step explanation:

Fraction of oats = 4/(4+11) = 4/15

So fraction of barley = 11/15

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and there are 110 kg of barley,

There are 40 kg of oats and 44 kg of barley.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The ratio of oats to barley is 4 : 11 by mass.

Here, The mass of oats = 4x

And, The mass of barley = 11x

Since, There are 150 kg feed.

Hence, We get;

⇒ 4x + 11x = 150

⇒ 15x = 150

⇒ x = 10

Thus, The mass of oats = 4x

                                    = 4 × 10

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And, The mass of barley = 11x

                                      = 11 × 4

                                      = 44 kg

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https://brainly.com/question/12024093

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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° m∠ZMW =?? degrees

Answers

Answer:

<ZMW =90

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Step-by-step explanation:

Remark

A Rhombus has a lot of peculiar properties. One of them is that the diagonals intersect at right angles. That means <ZMW =90 degrees.

Since the angle XMY = 90 degrees, it follows that <MXY + <MYX = 90 degrees because the third angle of the triangle = 90.

<MXY = 61 is given

So 61 + <MYX = 90                Subtract 61 from both sides.

<MYX = 90 - 61

<MYX = 29

m<MYX=29°

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Step-by-step explanation:

m<MYX+m<MXY+m<XMY=180 sum of interior angle of the triangle

here

m<XMY=90° diagonal bisect each other perpendicularly

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Answers

Answer:

[tex]z<\frac{3}{4}[/tex]

Step-by-step explanation:

Lori is running in a marathon, which is 35.6 miles long. So far, she has run one-tenth (1/10) of the marathon. How far did Lori run?

Answers

if lori finishes the race she would have ran 35.6 miles

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Answers

Answer:  C.

brainliest plz

Step-by-step explanation:

y=2x+3

substitute in x

y=(2*0)+3

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Step-by-step explanation:

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Answers

Answer:

5x-3=3x+5

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Substitute the value of x

2(4)-8

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Answers

Answer:

2

Step-by-step explanation:

(1/2) 4^2-6

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Answers

Answer:

8 maths tests

Step-by-step explanation:

Given data

We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test

our aim is to find how many maths test she grade in 3 hours (120min)

Hence

in  15 mins she does 1 grading

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cross multiply

15x= 120

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Step-by-step explanation:

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