The area of a circular rose garden is 44 square meters. What is the radius of the garden? Remember a=πr^2. Use π=22/7

Answers

Answer 1

Answer:

If the area of a circular rose garden is 44 square meters, then we can write:

44 = πr^2

And since π is equal to  22/7, we have:

44 = 22/7(r^2)

Multiply both sides by 7/22 to cancel the 22/7:

14 = r^2

And finally, we see that the radius of the garden is:

[tex]\sqrt{14}[/tex]

Let me know if this helps!

Answer 2

Answer:

r = sqrt(14)

Step-by-step explanation:

The area of a circle is

A = pi r^2

44 = 22/7 * r^2

Multiply each side by 7/22

44 * 7/22 = 22/7 * 7/22 r^2

14 = r^2

Take the square root of each side

±sqrt(14) = r

The radius must be a positive length

r = sqrt(14)


Related Questions

find the length of UC

Answers

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

A rectangular rug has the perimeter of 36 feet. The length of the rug is twice the width. What is the length

Answers

Answer:

12 ft

Step-by-step explanation:

l = 2w

P = 2(l+w)

36 = 2(2w+w)

36 = 2(3w)

36 = 6w

Divide each side by 6

36/6 = 6w/6

6 =w

l = 2w

l = 2(6)

l = 12

What is 0.04% of 30? Round to the nearest hundredth

Answers

Answer:

0.012

Step-by-step explanation:

Have a good day.

Answer:

.01

Step-by-step explanation:

Change the percent to decimal form

.04% = .0004

.0004 *30

.012

Round to the nearest hundredth

.01

What is the 100th term of the following sequence: 7, 10, 13, 16...?

Answers

Answer:

I got 304, because it goes up by 3, one hundred times and so you get 300, add seven, but since the sequence starts with the seven, you have to subtract 3. another way you can do it is by multiplying 99 by 3 and adding seven, which is probably the correct way, but i didn’t think of that at the time of doing the problem

Both please please :)…….,,,,,

Answers

Answer:

Step-by-step explanation:

One - 44

88% of 50 is 44

Two - 55296 60,000-4%-4%=55296

Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on the wall, and each wooden hanger can hold 12 mugs. Last year the family had 15 mugs to hang up. This year the Lee family filled three wooden hangers. How many more mugs were brought to the Lee family dinner this year compared to the previous year? *

Answers

Answer:

21 more mugs were brought this year than last year.

Step-by-step explanation:

We can solve by subtracting the initial amount of mugs from the final amount of mugs.

To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.

We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs

Now we subtract last year's total mugs hung up from this year's total mugs hung up.

We end up with 36 - 15 = 21

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5=15

5p=15-5

5p=10

p=10/5

p=2

have a great dayy.

Answer:

p = 2

Step-by-step explanation:

One is given the following equation:

3p + 2p + 8 - 3 = 15

Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.

3p + 2p + 8 - 3 = 15

5p + 8 - 3 = 15

5p + 5 = 15

Inverse operations,

5p + 5 = 15

5p = 10

p = 2

Please solve this for 20 points and brainiest

Answers

Answer:

3y² + y - 10

Step-by-step explanation:

Assuming we're finding the area:

[tex](3y-5)(y+2)\\3y^2+6y-5y-10\\3y^2+y-10[/tex]

Answer:

3y² + y - 10

Step-by-step explanation:

(3y -5) (y + 2)

3y² + 6y - 5y  - 10

3y² + y - 10

If m ZABD = 78°, what are mZABC and mZDBC?
(5x+3)
(5x-5)

Answers

ABD = ABC + DBC
Eqivalent to:
78 = (5x + 3) + (5x - 5)
78 = 5x + 5x + 3 - 5
78 = 10x - 2
80 = 10x (move -2 to the left side and get 78 + 2 = 80)
8 = x (80/10 = 8)
With x = 8,
ABC = 5x - 5 = 8*5 - 5 = 40 - 5 = 35
DBC = 5x +3 = 8*5 + 3 = 40 + 3 = 43

Hi, I'm happy to help!

First, we need to solve for x. We know that ABD is 78 degrees. (5x+3), and (5x-5) combined are also 78 degrees. So, we combine the like terms of these to get a new expression.

(5x+3) +(5x-5)

10x-2=78

From here, we want to single out the x, by editing both sides in the same way.

10x-2=78

    +2  +2

10x=80

÷10 ÷10

x=8

Now that we know what x is, we can plug it in to the previous expressions to get the angles of ABC and DBC.

(5x-5)

((5·8)-5)

(40-5)

35

Now, we know that ABC is 35 degrees.

(5x+3)

((5·8)+3)

(40+3)

43

Now, we also know that DBC is 43 degrees.

To verify our answer we can add ABC and DBC together to check if it totals to ABD.

35+43=78

Now, we know that the answer: ABC is 35 degrees and DBC is 43 degrees is correct.

I hope this was helpful, keep learning! :D

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

Answers

0.14 would be correct

If I have 180$ and a pack of dvds cost 18 how much can I buy

Answers

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer

Find the slope of the line that passes through the points (-12,10) and (-18,14).

Answers

Answer:

-2/3

Step-by-step explanation:

To find the slope we use the formula

m= ( y2-y1)/(x2-x1)

   = ( 14-10)/(-18- -12)

   = (14-10)/(-18+12)

  = 4/-6

 = -2/3

From deltamath.com please help I’m loss

Answers

Answer:

y(x)=2866.59*(1.06)^x

Step-by-step explanation:

Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x

I need help ASAP!!!!!! Please tell me how u got your answer

Answers

Answer:

150.5

Step-by-step explanation:

Use the Surface Area Formula for a Cylinder to find the Surface Area.

SA = 2πrh + 2πr^2 where r = radius and h = height

SA = 2π(3)(5) + 2π(3)^2

SA = 2π(15) + 2π(9)

SA = 2(47) + 2(28.26)

SA = 94 + 56.52

SA = 150.52

Rounded to the nearest tenth = 150.5

The area of a square=121m² what is the value of S?​

Answers

Answer:

11 m

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

121 = s^2

Take the square root of each side

sqrt(121) = sqrt(s^2)

11 = s

The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12

Answers

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

S O L U T I O N

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

CORRECT ANSWER IS OPTION B, 28x + 16

2/3 of a number is 20 less than the original number.find the number

Answers

40 40 50 hersssdxddasd

The temperature at 9:00 a.m. was 4°C. At 7:00 p.m., the temperature
was -12°C. What was the change in temperature (in degrees Celsius)?
�� 8-degree decrease
�� 16-degree decrease
�� 8-degree increase
�� 16-degree increase

Answers

Answer:

16-degree decrease

Step-by-step explanation:

Take the final temperature of -12   and subtract the initial temperature of 4

-12 - 4

-16

The change in temperature is 16 degrees

The minus sign tells us it was a decrease

Answer:

i think 16 degree decrease

Step-by-step explanation:

sorry if im wrong i tried to help

What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40​

Answers

Answer:

Range = maximum number - minimum number

maximum number = 99minimum number = 62

Range = 99 - 62 = 37

Answer:

37

Step-by-step explanation:

The range is the difference between the highest number and the smallest number.

Looking at the stem and leaf plot we can identify the largest and smallest number

Largest number: 99

Smallest number: 62

If range = largest number - smallest number then range = 99 - 62 = 37

please help! i can’t write the equation on here so look at the picture.

Answers

Answer:

So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation

[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex]  [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex]  [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex]  [tex]= \frac{10}{16} =\frac{5}{8}[/tex]

Answer:

√100 / {-5-1}^² +(-20)10/(-6)^² -2010/36-2010/165/8

Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is AAA and scale factor is \dfrac{1}{4} 4 1 ​ start fraction, 1, divided by, 4, end fraction.

Answers

The coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

Dilation

Assuming the coordinate of the triangle ABC is A(4, 4), (12, 16) and (-4, -8).

If the coordinate is dilated by a factor of 1/4, the resulting coordinates will be at:

A' = (4/4, 4/4) = (1, 1)

B' = (12/4, 16/4) = (3, 4)

C' = (-4/4, -8/-4) = (1, 2)

Hence the coordinates of the resulting image will be at (1, 1), (3, 4) and (1, 2)

Learn more on dilation here: https://brainly.com/question/10253650

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

Step-by-step explanation:

It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.

Consider the reflection of parallelogram PQRS across the line of reflection wy

Answers

Answer:

Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5

Step-by-step explanation:

create a problem using radios of for your guardian/parent or friends solve. write both of your problems and Solutions in your Journal ​

Answers

Answer:

The following,... and uh I don't have a journal ;->

Step-by-step explanation:

You and your 10 friends each have 121 books that you will be bringing to a Best Book Barrage book exchange. Once everyone arrives you count a total of  books. Assuming everyone brings the same amount of books how many people came to the exchange?

Answer: 8,228

Sin³xcosx+sinxcos³x=sinxcosx

Answers

Answer:

Step-by-step explanation:

[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]

Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point

Answers

The answer is D. (4,14) because both lines pass through this point

Explanation: You can insert (4,14) in either equation and so if you insert it into y= x+10 you get 14=4+10 which shows the x combined with 10 equals the y so it’s correct and if you plotted both lines on the graph both lines would travel through this point because it is a solution for both lines.

Simplify [2(5 – 4) + 6(7 – 3)] ÷ 2

I'LL MARK BRAINLY PLEASE HELP ME I'M STRUGGLING

Answers

Answer:

13

Step-by-step explanation:

[2×1+6×4]÷2

[2+24]÷2

26÷2

13

Explain the
The fifth term of a non-linear sequence is 324. The term-to-term rule is ‘multiply by 3?
Work out the second term of the sequence.
Explain the method you used to solve this problem.

Answers

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

39.) Fiona bought a brand new Harley Davidson motorcycle. Since the weather was nice, she decided to go out for a ride with some of her friends. Before leaving town, she stopped to fill up her motorcycle with gas so that she had a full tank. If Fiona's motorcycle has a 4 gallon gas tank, and she only had to add 2 4/7 gallons, how much gas was in the tank before she filled up?​

Answers

Answer:

1 3/7 gallons

Step-by-step explanation:

Let the amount of gas in the tank before filling was x.

We have:

x + 2 4/7 = 4x = 4 - 2 4/7x = 2 - 4/7x = 1 3/7 gallons

let the amount of gas be x

[tex]\\ \sf\longmapsto x+2\dfrac{4}{7}=4[/tex]

[tex]\\ \sf\longmapsto x+\dfrac{18}{7}=4[/tex]

[tex]\\ \sf\longmapsto x=4-\dfrac{18}{7}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28-18}{7}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{7}[/tex]

[tex]\\ \sf\longmapsto x=1\dfrac{3}{7}[/tex]

4w - 8 = 32 the value of 4w is 40 how do you know this is true
Please help I will give you Brainlyest

Answers

Answer:

4w = 40

Step-by-step explanation:

Using the addition property of equality to add 8 on both sides gives us the answer to what 4w equals.

[tex]4w - 8 + 8 = 32 + 8\\4w=40[/tex]

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