The circumference of a circle is 7π m. What is the area of the circle? ​3. 5π​ m² ​12. 25π​ m² ​14π​ m² ​49π​ m².

Answers

Answer 1

Area of the circle is the area covered by that circle. The area of the circle whose circumference is m is 12.25π m².

What is the area of a circle?

The area of the circle is the area covered by that circle. It is given by the formula,

[tex]\text{Area of the circle}=\pi r^2[/tex]

where r is the radius of the circle.

As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,

[tex]\text{Circumference of the circle} = 2\pi r[/tex]

[tex]7 \pi = 2 \pi r\\\\r = 3.5\rm\ m[/tex]

Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,

[tex]\text{Area of the circle}=\pi r^2[/tex]

                           [tex]= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m[/tex]

Hence, the area of the circle whose circumference is m is 12.25π m².

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Related Questions

on a trip road you notice that the gas tank is full 1/4 full. The gas tank can hold 18 gallons,and the vehicle averages 22 miles per gallon.WIll u make it to ur destination 110 miles before you run out of gas.Explain

Answers

Answer:

No.

Step-by-step explanation:

First, we need to firgure out what 1/4 of 18 is (4.5). Then, multiply 4.5*22 to see the gallons left by the average traveled each gallon (99). Clearly, 99 is not equal to or greater than 110.

(100 points) scatter plot is shown.

A scatter plot is shown with numbers from 1 to 10 at increments of 1 on the x axis and numbers from 0 to 10 at increments of 1 on the y axis. The ordered pairs 0, 2 and 1, 3 and 1, 9 and 1.2, 4 and 1.9, 4 and 2.6, 4.2 and 3, 5 and 4, 5 and 4, 6 and 4.8, 6.1 and 5, 7 and 5, 7.9 and 6.9, 7.1 and 6, 8 and 7, 3.8 and 7, 8.2 and 7, 9.1 and 7.1, 9.8 and 8, 10 and 10, 7 and 9, 5.

How many outliers does the graph show?
1
2
3
4

Answers

Answer:

The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I just took the test do not listen to the other persons answer or you will get it wrong. :) no offense. Have a great day everyone.

PLEASE AWNSER WILL GIVE 100 POINTS!!!!!!!!!!! PLUS BRAINLEST!!

Answers

(1,-3)(0,4)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7[/tex]

Equation in slope intercept form

[tex]\\ \rm\rightarrowtail y-4=-7(x)[/tex]

[tex]\\ \rm\rightarrowtail y=-7x+4[/tex]

Answer:

[tex]y=-7x+4[/tex]

Step-by-step explanation:

Formulae

Slope-intercept form of a linear function: [tex]y = mx + b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Point-slope form of a linear function:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex]  is a point on the line)

Slope formula

[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line)

Solution

Choose 2 points on the line:

Let [tex](x_1,y_1)[/tex] = (0, 4)Let [tex](x_2,y_2)[/tex] = (1, -3)

Find the slope using the slope formula:

[tex]\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7[/tex]

Substitute found value for [tex]m[/tex] and point (0, 4) into the point-slope formula:

[tex]\implies y-4=-7(x-0)[/tex]

[tex]\implies y=-7x+4[/tex]

A garden measuring 15 meters by 20 meters is to have a pedestrian pathway installed
all around it, increasing the area to 336 square meters.
a. Write an expression to represent the area of the total garden including the
pathway.

b. What will be the width of the pathway?

Answers

The area of the garden is the amount of space on the garden.

The area of the total garden is (x + 15)(x + 20)The width of the pathway is 1 meter

The expression of the area

The dimensions of the garden is given as:

15 meters by 20 meters

Let the width of the pedestrian pathway be x.

So, the area of the total garden is:

[tex]Area=(x + 15)(x + 20)[/tex]

The width of the pathway

In (a), we have:

[tex]Area=(x + 15)(x + 20)[/tex]

The total area is given as: 336.

So, we have:

[tex](x + 15)(x + 20) = 336[/tex]

Expand

[tex]x^2 + 35x + 300 = 336[/tex]

Collect like terms

[tex]x^2 + 35x + 300 - 336 = 0[/tex]

Evaluate

[tex]x^2 + 35x - 36 = 0[/tex]

Expand

[tex]x^2 + 36x -x - 36 = 0[/tex]

Factorize

[tex]x(x + 36) -1(x +36) = 0[/tex]

Factor out x + 36

[tex](x + 36)(x -1) = 0[/tex]

Solve for x

x = -36 or x =1

The width cannot be negative.

Hence, the width of the pathway is 1 meter

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Martin bought a flower vase from a florist. The box in which the vase was packed was shaped like a rectangular prism. What is the surface area of the box?

Answers

Answer:

In order for the appropriate answer to be given, you need to include the original measurements as well.

Determine whether the sample is biased or unbiased. Explain.

You want to estimate the number of students in your school who
play a musical instrument. You survey the first 15 students who
arrive at a band class.

Answers

Answer:

the sample is biased

Step-by-step explanation:

write the following expression as a product of a repeated variable. Do not use any exponents in your answer. c^5

Answers

Answer:

C*C*C*C*C

Step-by-step explanation:

C^5 is C times itself 5 times hence C*C*C*C*C. Hope this helps.

Find angle measure x on each given figure. (Lessons 9.2, 9.4, 9.5)

Answers

1. x = 60 (in this trapezoid, opposite angles are equal)

2. Find the third angle of the left triangle : 180 - 17 - 133 = 30
In a parallelogram, the side that is opposite to a side is parallel to each other.

x and the 30 degree are alternate angles -> x = 30

3. (I'll call the 4 triangles A,B,C,D respectively in anticlockwise)

Triangle A has the 25 degree angle, and the bottom right angle of triangle C, they are alternate angles (and the sides are parallel due to the property.)

So, the bottom right angle of triangle C = 25

Triangle C and D form an isoceles triangle, so x = 25.


4. This one I'll just do short. There's a right angle in the triangle that contains x.

3 angles in a triangle add up to 180, so x = 180 - 90 - 50 = 40.

Please answer soon (45 Points)

Answers

Answer:

$10 each week

Step-by-step explanation:

The boxes sum is equal to 40.

(x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40

5x-10 = 40

5x=50

x =50/5

x=10

Answer:

Step-by-step explanation:

[tex](x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40\\5x - 10 = 40\\5x = 50\\x =10[/tex]

A scout troop picked 1610 oranges. They plan to sell boxes of oranges with 18 oranges in each box. How many boxes can they make

Answers

Answer:

89 boxes

Step-by-step explanation:

1610/18= 89.4444444444

Then you round down since only 89 full boxes can be made.

which numbers are a surd?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{6} x \sqrt{10} is a surd\\\sqrt{144} + \sqrt{49}[/tex]is a surd

Factor completely 12x4 6x3 18x2. Prime 6(2x4 x3 3x2) 6x2(2x2 x 3) 6x(2x3 x2 3x).

Answers

The factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

We have the expression:

7x³y+ 14x²y³-7x²y²

What is a factor?

A factor is a number that divides another number completely.

Let us take '7x²y' as common in the above expression

7x²y( x + 2y²- y)

7. x.x.y ( x + 2y² - y)

Further, we cannot make any factor.

Therefore, the factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

To get more about factors refer to the link,

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The vertices of quadrilateral WXYZ are W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1). What choice is the best description of quadrilateral?

A. Trapezoid

B. Square

C. rhombous, that is not square

D. rectangle, that is not square

Please provide explanation. DOn't just say one option.

Answers

Quadrilaterals are shapes with four sides

The description of the quadrilateral is (d)  rectangle, that is not square

How to determine the shape

The coordinates are given as:

W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1)

Next, we plot the coordinates on a graph (see attachment)

From the attachment, we can see that the coordinates form a rectangle

Hence, the description of the quadrilateral is (d)  rectangle, that is not square

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After many​ studies, a researcher finds that the probability a word recognition program correctly interprets a​ hand-written word is 3/10. How many words would the researcher expect the program to interpret correctly out of 90 ​words?

Answers

3/10 x 90/1 is the answer

What is the value of x

Answers

Answer:

X=55

Step-by-step explanation:

It says 15, so what you want to do is times 15x14 because those are the only sides of the shape. After you multiply 15x14 which is 60, you need to minus 5 because it shows a subtraction sign. So, 60-5= 55. X=55

Please help!! what is the value of x and please do step by step if possible !

Answers

Answer:

x=71 degrees

Step-by-step explanation:

it is a isosceles triangle so the blank angle is also x

angles of a triangle add up to 180

180=38+2x

2x=142

x=71

The local firemen have a 50 ft. ladder. They need to get to the top a 48 foot building. What is the maximum distance away from the building they can place the foot of the ladder so that the top of the ladder reaches the top of the building?

Answers

Answer:14 ft

Step-by-step explanation: 50^2=x^2+48^2(Pythagorean theorem)

x^2=2500-2304

x^2=196

x=14

when you first move into your current house, you noticed that a tree outside had a height of 63 inches. You noticed that after 3 years, the height was 72 inches. Predict how tall the tree will be after 20 years.

Answers

72-62=9 (grow 9 inches in 3years)
In a year it grows 3 inches (9/3)
Find how much it grows in 20 years:
3*20=60 inches
Then just add the 60 inches to the original height er
63+60=123 inches

Someone help me quick ill give brainleist

Answers

Answer:

-2.5 per hour

Step-by-step explanation:

its going down 5 every 2 hours so just divide both by 2 and you got it

$2000 at 3.5% for 4 years

a. Find the interest earned.



b. Find the balance of the account.

Answers

Answer:

a 280

b 2280

Step-by-step explanation:

a Interest = 2000 * 3.5 * 4

------------------------ = 280

100

b 2000 + 280 = 2280

8 x five sixths PLEASE HELP ME ASAP
a fifty three sixths
b forty sixths
c thirteen forty eighths
d five forty eighths

Oscar spent two thirds hour each night doing homework for five nights this week. How many hours of homework did Oscar complete this week?

seven and one half hours
three and one third hours
two and one third hours
one and one fifth hours

Answers

Answer:

v thirteen forty eights

seven and one half hours

8 x 5/6

8 x 5 = 40

40/6

The answer is B) 40/6.

4 in
4 in
4 in
d the volume of the triangular prism.
A) 6 ind
B) 12 in?
() 32 in
D) 64 in)

Answers

The volume of the triangular prism should be 64 inches squared

Given mn, find the value of x.
(x+5)*(x-13)

Answers

x²-13x+5x-65

x²-8x-65

(x+5)(x−13)

Domain

x∈R

Range

y∈[−81,∞)

Zeros

x=−5; x=13

Y-intercept

y=−65

Minima

(4,−81)

Polygon A and Polygon B are similar with a ratio of similarity of 5/4. If the perimeter of Polygon A is 20 units, what is the perimeter of Polygon B?

Answers

Answer:

16 units

Step-by-step explanation:

A/B = 5/4 = 20/p

5/4 = 20/p

5p = 4 × 20

p = 4 × 4

p = 16

Answer: 16 units

The calories , c, in a snack and the amount of the snack , a ... How do u identity the dependent variable and the independent variable In each situation???​

Answers

A would me independent… because the amount of calories you have depends on the amount of food you have

What fraction of an hour is 25 minutes?
Answer with steps I will mark u as BRAINLIEST ANSWER if u help me ​

Answers

Answer:

5/12

Step-by-step explanation:

1 hour = 60 minutes

[tex]\dfrac{25}{60}=\dfrac{5*5}{5*12}=\dfrac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

Data;

1 hour = 60 minutestime = 25 minutes

Fractions

The fraction of an hour that is equivalent to 25 minutes would be the ratio between 25 minutes to 60 minutes which is one hour.

[tex]\frac{25}{60} = \frac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

Learn more on fractions here;

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Please help! I'll give you brainliest for the correct answer!!!



I'll report your answer if it's wrong!

Answers

Answer:

0.408

Step-by-step explanation:

What is the probability of landing on red and rolling a number greater than 2?

Answers

Using it's concept, considering a spinner with four sections and a die with 6 numbers, there is a [tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The spinner has 4 sections, one of which is red, hence P(A) = 1/4.The die has 6 numbers, four of which are greater than two, hence P(B) = 4/6.

The events are independent, hence:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{4} \times \frac{4}{6} = \frac{1}{6}[/tex]

[tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

More can be learned about probabilities at https://brainly.com/question/14398287

What is the slope of a line that passes through the points (5,-3) and (13, -9)

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

so, we see

x changes by +8 (from 5 to 13).

y changes by -6 (from -3 to -9).

so, the slope is -6/+8 = -3/4

Hello.

Let's find the slope using the slope formula:

[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9-(-3)}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9+3}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-6}{8} }[/tex]

The fraction can be simplified:

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

Therefore, the slope is

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Explain how you can use a 10 by 10 grid to model 42%

Answers

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

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