Find the radius of a circle with an area of 89 square feet.

Answers

Answer 1

Answer:

[tex]r = 5.32\ feet[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

Formula to get the area of a circle → [tex]A=\pi r^2[/tex]

Insert 89 into the A and solve for r

[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]28.3296 = r^2[/tex]

[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]

[tex]r = 5.32[/tex]

Answer: [tex]r = 5.32\ feet[/tex]


Related Questions

The radius of a circle is 4 yards. What is the circle's circumference?
r=4 yd
Use 3.14 for .

Answers

Answer:

25.12 yd

Step-by-step explanation:

Radius (r) = 4 yd

π = 3.14

Circumference of the circle

= 2πr

= 2 × (3.14) × (4)

= 25.12 yd

_________

Hope it helps ⚜

Answer:

25.12 yards

Step-by-step explanation:

Circumference formula : 2πr

r = radius

Solving

C = 2πrC = 2 x 3.14 x 4 [given π = 3.14 and r = 4]C = 3.14 x 8C = 25.12 yards

Using the distributive property, marta multiplied the binomial (2x 3) by the trinomial (x2 x – 2) and got the expression below. (2x)(x2) (2x)(x) (2x)(–2) (3)(x2) (3)(x) (3)(–2) which is the simplified product? 2x3 6x2 – x – 6 2x3 x2 – x – 6 2x3 5x2 – x – 6 2x3 – x2 – 7x – 6

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,

[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]

Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).

Learn more about Expression:

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A sum of amount Rs. 720 is divided into 2 parts in the ratio of 3:5.How much will be the amount in the second part? ​

Answers

Answer:

3x + 5x = 720

8x = 720

x = 90

1st) 3x = 3 x 90

270

2nd) 5x = 5 x 90

450

If the average of 8, 11, 25, and p is 15, then 8 + 11+ 25 + p =

1)16


2)44


3)56


4)60


5)64

Answers

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

How to find x and y? We didn’t study much about the rhombus at all

Answers

Answer:

answer can be any numbers but I will choose

x = 50° and y =130°

Step-by-step explanation:

We know all the inner degree of rhombus =360°

Then, x+y+x+y = 360°

or,2x + 2y = 360°

or, 2(x + y) = 360°

or, x + y = 360°/2

or,x + y = 180°

Let x = 50° then

50° + y = 180°

or, y = 180° - 50°

or, y = 130°

Which of the following sets of ordered pairs represents a function ?

A. (-1, 15), (0,10), (0,5), (2,5), (5,-5)

B. (-7, -1), (-7,0), (-7,1), (-7,2), (-7,3)

C. (-5,10), (-3,6), (0,0) (5,10)

D. (-8,3), (-4,3), (0,3), (0,5), (4,5)

Answers

Answer:

Letter C

Step-by-step explanation:

A function has to have no repeating x-intercepts.

What type of association is shown by the data? Explain how you know.

Answers

Answer:

Positive association Hope this helps

Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-slope form.

Please help I will mark branilest!!! and give 100 points

Answers

Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope

5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5

if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.

Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)

the coordinates of (5,12) can are substituted for x, and y,

so the answer is

(y-12) = -4/5(x-5)

I hope this helped and is BRAINLIEST!

Good luck with your studies!

The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).

What is the Equation of a Line in Point-slope Form?

It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.

Rewrite 5x-4y=10 in slope-intercept form:

-4y= - 5x + 10

y= -5x/-4 + (10/-4)

y = 5/4x - 5/2

The slope is 5/4

The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.

Substitute (5, 12) and -4/5 into y - b = m(x - a):

y - 12 = -4/5(x - 5) [point-slope form]

Learn more about point-slope form on:

https://brainly.com/question/24907633

#SPJ6

A die is rolled eight times. What is the
probability of getting exactly three 6's?

Answers

Answer:

0.1042, 10.42%

100 POINT!!!!!
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat".
Part A- Write an inequality to show the age of children who are allowed to operate a boat.
Part B- Describe in words how you can show the solution to this inequality of a number line.

Answers

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

Part A

Let x = age of child (in years)

Given:

"Children under the age of 13 are not allowed to operate a boat"

Therefore, children should be 13 or older:

x ≥ 13

Part B

Place a closed circle at 13.

Shade to the right of the closed circle.

The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0​

Answers

Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²

Formula

Area (rectangle) = Length x Width

Solving :

140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is A

Klaudia can swim five laps in the city pool every two and a half minutes If she swims for half an hour every day, how many laps does she swim every four days?​

Answers

Answer:

240

Step-by-step explanation:

30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps

My dog weights 22lbs how many kg is that?

Answers

Answer:

Your dog weighs 9.97903kg.

Step-by-step explanation:

[tex]1lb = 0.453592kg[/tex]

[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]

Pleaseeeee helpppp meee :)))

Answers

A. 51

Step-by-step explanation:

Virtical angles are congruent

Alda's allowance follows the equation

y = 10(1. 2)

where t is time in weeks. Which equation represents the the

approximate daily interest rate?

Answers

The answer is 12 I believe

which unit would be best to measure the length of a whale

Answers

Meters because feet would be too short and so would inches or centimeters

Please helkp me my math is going to make me cry. I can't math.

graph the quadratic function f(x)=2x^3-18x

Answers

Graph the cubic using its end behavior and a few selected points.

Falls to the left and rises to the right

x    y

-2   20

-1    16

0  0

1  -16

2  -20

What is the distance between (-5,8) and( 6,8)

Answers

Answer: 11

Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5

6+5

11

16.) a) A group of college students are volunteering for Help the Homeless during their
spring break. They are putting the finishing touches on a house they built. Working
alone, Irina can paint a certain room in 5 hours. Paul can paint the same room in 10
hours. How many hours will it take them to paint the room?
bl Raul

Answers

Answer:

[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.

The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours

The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].

[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]

2) Add the fractions.

[tex]\frac{1}{x} = \frac{3}{10}[/tex]

3) Solve for the [tex]x[/tex].

[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]

4) Change them into a mixed fraction.

[tex]3\frac{1}{3}[/tex]

Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the
CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have
been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a
possible investment.


What is the annual interest you would earn on each bond?

Answers

Answer:

$3172.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?

Answers

Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.

Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.

2790=45min
2790/45=1min
62bpm

25 points to anybody who can solve this pls!

Answers

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

Answer:

Q=(2,4)

R=(3,1)

S=(5,3)

Step-by-step explanation:

The x value stays the same when reflecting in the x axis

And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.

Please give brainliest :)

When it is 11:30 a.m. in dublin, it is 2:30 p.m. in moscow. how far ahead of dublin is moscow? a. 3 hours b. 5 hours c. 9 hours d. 15 hours

Answers

answer is a. 3 hours



Add an hour to 11:30 a.m. to get 12:30 p.m.
Add an hour to 12:30 p.m. to get 1:30 p.m.
Add an hour to 1:30 p.m. to get 2:30 p.m.
Answer: Moscow is 3 hours ahead of Dublin

Help! I will give brainliest!!!!

Answers

Answer:

35.53 meters = circumf

Step-by-step explanation:

76 degrees out of 360 degrees = 7.5 m

76 / 360    * x   = 7.5

x = 35.53 m

PLS HELP ME ILL GIVE YOU BRAINIEST!!!

Answers

The total surface area of the three figures are 702 square feet.

How to estimate the amount of metal needed to produce a given amount of figures

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

[tex]A_{T} = n\cdot A[/tex]

[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]

[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]

[tex]A_{T} = 702\,ft^{2}[/tex]

The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293

3x=1/2y
circle the ratio x:y

Answers

Answer:

1:6 is the answer

Step-by-step explanation:

If X is equal to 1, Y would equal 6...

Because X is /3 of half of Y

so if Y is 6 then divide by 2 then divide by 3 to get 1

the reverse... (X x 3) x 2 = Y

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?

Answers

w>4.9 (NOTE: The greater than sign is supposed to be greater than OR equal to)

You can rewrite the inequality like this because you can simplify the equation to get rid of the 3.7. You do this by dividing both sides of the expression by 3.7, since that’s what the w is being multiplied by.

Hope this helps!

Please help. The question that I need help on is on the Picture.​

Answers

Answer:

V = 104 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth, h is height )

here l = 13 , b = 2, h = 4 , then

V = 13 × 2 × 4 = 26 × 4 = 104 in³

352,345,338,... Find the 43rd term

Answers

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

Solve for x, then find the measure of the angle given

Answers

Answer:

The value of x is 55⁰.

Step-by-step explanation:

Let n be X,

(n+7)+(3n-47)=180

or,n+7+3n-47=180

or,4n-40=180

or,4n=180+40

or,4n=220

or,n=220/4

.:n=55##

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