The area of a trampoline is 49 pi sqared. What's the diameter of the trampoline?

Answers

Answer 1

Answer:

The diameter is 14

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the area is 49 pi

49 pi = pi r^2

Divide each side by pi

49 pi/ pi = pi r^2/pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 =r

We want the diameter

d = 2r

d = 2*7

d = 14


Related Questions

a worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?

Answers

Final answer:

To make 1 spring, 1.5 inches of steel wire are needed.

Explanation:

To find out how many inches of steel wire are needed to make 1 spring, we can set up a proportion. We know that the worker uses 450 inches of steel wire to make 300 springs. Let x represent the number of inches of steel wire needed to make 1 spring. The proportion would be:

450 inches/300 springs = x inches/1 spring

To solve for x, we can cross multiply:

450 * 1 = 300 * x

450 = 300x

Dividing both sides by 300, we get:

x = 450/300 = 1.5 inches

Therefore, 1.5 inches of steel wire are needed to make 1 spring.

In a regular deck of cards, calculate the probability that a diamond is drawn given that it is a face
card.
HURRYYYY PLEASEEE

Answers

Answer: 3/52

Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.

Answer: 0.25 or 25%

Step-by-step explanation:

you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25

Find the length of the hypotenuse to the nearest whole number if a'= 5
and b = 2.

Answers

Answer:

The answer is 10

Step-by-step explanation:

Equation to find the hypotenuse (c) is [tex]\sqrt{a^{2} +b^{2} }[/tex]

[tex]5^{2}[/tex] x [tex]2^{2}[/tex] = 100 (which is your [tex]c^{2}[/tex])

[tex]\sqrt{100}[/tex] = 10

If f(x)=1/9x-13, then f^-1(x)=

Answers

Answer:

f^-1(x)= 9x+117

Step-by-step explanation:

hello :

let f(x) = y  so : y = 1/9 x-13

calculate : x       you have : 1/9x= y+13  so : x= 9(y+13)=9y+117

If f(x)=1/9x-13, then f^-1(x)= 9x+117

What is 7 x 10^22 in its expanded form?

Answers

Answer:

70,000,000,000,000,000,000,000

Step-by-step explanation:

Grayson baked 24 sugar cookies. His family ate 1/3 of the cookies. How many cookies did they eat? How many cookies are left?

Answers

Answer:

His family ate 8 sugar cookies.

16 sugar cookies are left.

Step-by-step explanation:

His family ate 1/3 of the 24 sugar cookies: 1/3 x 24= 8How many are left: 24-8=16

you roll a fair 6-sided die . what is the probability of landing on a number that’s is NOT 5

Answers

Answer:

5/6th

Step-by-step explanation:

does anyone know adjacent angles ? i am guessing it more than 1 by the way please help.

Answers

Answer:

∠SRP and ∠QRP

∠TUR and ∠VUR

Step-by-step explanation:

Adjacent angles are angles that share a common side and have the same vertex. Here you need to see if each pair share a side and start at the same point.

∠SRP and ∠QRP: These are adjacent because they share the same vertex and side

∠TUR and ∠VUR: These are adjacent because they share the same vertex and side

∠QRP and ∠VUW: These are not adjacent because they do not share the vertex, only share a common side

∠TUR and ∠SRU: These are not adjacent because they do not share the vertex, only share a common side

Factor completely 16x^3−36x

Answers

Answer:

4x(2x+3)(2x−3)

Step-by-step explanation:

Factor 16x3−36x

16x3−36x

=4x(2x+3)(2x−3)

Look at the attached picture

Hope this will help u...

(I will mark brainliest for the correct answer.)
Eliza intends to buy a new vehicle. She wishes to estimate the mean fuel efficiency (in miles per gallon) of all family sized SUV's currently available on the market. Eliza selects a random sample of 15 family sized SUV's and looks up their fuel efficiency on a trusted website. The results of the random sample are shown below:

27, 28, 30, 28, 28, 31, 29, 33, 28, 28, 31, 33, 41, 41, 25

What is the mean fuel efficiency rounded to the nearest whole number?



Question 1 options:

28


29


30


31

Answers

Answer:

D. 31

Step-by-step explanation:

To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25

= 461

The last step is to divide 461 by 15:

461/15 = 30.73

Round 30.73 to the nearest whole number and you get D. 31

11 inches of snow were predicted. 16 inches of snow fell. Calculate the percent error?

Answers

Answer : The percentage error will be, 45.5 %

Step-by-step explanation :

To calculate the percentage error, we use the equation:

[tex]\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100[/tex]

We are given:

Experimental value = 16 inches

Accepted value = 11 inches

Now put all the given values in above equation, we get:

[tex]\%\text{ error}=\frac{|16-11|}{11}\times 100\\\\\%\text{ error}=45.5\%[/tex]

Hence, the percentage error will be, 45.5 %

In 2000, 2200 students attended Algebra High School. The enrollment declines by 3% each year. How many students will be enrolled in 2020?

A.1,196
B.1,444
C.1,248

Answers

Answer:

the answer is c

Step-by-step explanation:

Please answer, will mark brainliest

Answers

Answer:

4. B 5. C

Step-by-step explanation:

Answer:

B; C

Step-by-step explanation:

The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.

The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.

Find the square root of -9/100

Answers

Answer:

The answer is -3/10

Step-by-step explanation:

Answer:

-0.3 or -[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Separate the squares making it:

[tex]-\frac{\sqrt{9} }{\sqrt{100}}[/tex]

Square root them:

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

Don't forget the negative

[tex]-\frac{3}{10}[/tex]

This is the kinetic energy of a 14 kg object travelling at 10 m/s.

Answers

Answer:

700 joules

Step-by-step explanation:

Basically,

The KE formula is this KE=1/2mv^2

So we substitute the mass for m and the meters per second for v (velocity)

[tex]\frac{1}{2} (14)(10^2)[/tex]

Use PEMDAS, one half times 14 is 7

10 squared is 100,

100*7 = 700

Thanks me later :)

The sides of a whiteboard are 3 feet by 1 foot. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?

Answers

Board:

Width = 3 feet = 3*12 = 36 inches

Height = 1 foot = 1*12 = 12 inches

36 in (board width) / 2 in (posit width) = 18

12 in (board height) / 2 in (posit height) = 6

Area = base * height

Area = 18 post-its wide * 6 post-its height = 108 post-its

Answer:16

Step-by-step explanation:I think

Factor by using GCF:
10x2 + 15x-5​

Answers

Answer: The answer is : 5 ( 2 x^ 2 + 3 x − 1 )     (Friend me )

Step-by-step explanation: You know that 5 can go into 10, 5, and 15 evenly. Therefore, 5 must be the GCF. So, you factor five and basically rewrite the equation to fit the number 5.

Please Help me
An animal shelter randomly selects 30 dogs and finds 4 are classified as small breeds because they are under 25 pounds.

If there are 105 total dogs in the shelter, enter the number predicted to be small breeds.

Answers

Answer:

14

Step-by-step explanation:

14 out of 105= 7.5

4 out of 30= 7.5

Both numbers, 14 and 4, have the same ratio.

There are 14 small breed dogs in the shelter.

The question involves using proportional reasoning to predict the number of small breed dogs in a shelter. From the given sample of 30 dogs, 4 are classified as small breeds. To find the predicted number of small breeds in the entire shelter, we set up a proportion based on the sample proportion:

4 small dogs out of 30 total dogs (sample) = x small dogs out of 105 total dogs (shelter).

Solving for x gives us the predicted number of small breed dogs:

(4/30) * 105 = x

Calculate the value of x:

x = (4* 105) / 30

x = 420 / 30

x = 14

Therefore, based on the sample, we would predict that there are 14 small breed dogs in the shelter.

Rolling a single die, what is the probability of rolling a number less than 4?

Answers

Probability of a the number will less than 4 is  [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Given,

A die will be rolling.

To find the probability of a the number will less than 4.

Formula

Probability of an event = Number of possible outcomes ÷ Total number of outcomes

Here,

Less than 4 means =1,2,3 = 3 times

Total number of outcomes = 6

Hence,

Probability of a the number will less than 4 = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

24xy = 6y; x = -2; y = 3 evaluate the expression

Answers

Answer:

-144 = 18

Step-by-step explanation:

1). 24xy = 6y

  x = -2; y = 3

  24(-2)(3) = 6(3)

   -144 = 18

A linear function has a y-intercept of 6 and a slope of . What is the equation of the line?

Answers

Answer: I need to know the number for the slope. I know the y-intercept, which is b, but I need to know m (the slope) I can give you y = mx+6.

Step-by-step explanation:

The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
© (-6, 0) and (-4,0)
(-2, 0) and (-12, 0)
(4,0) and (6,0)
(12, 0) and (2,0)
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

(4, 0) and (6, 0)

Step-by-step explanation:

The function that we have is:

[tex]g(x)=x^2-10x+24[/tex]

This is the function of a parabola.

to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.

so we need [tex]g(x)=0[/tex] for the function to be crossing the x-axis.

Thus our equation becomes:

[tex]x^2-10x+24=0[/tex]

and we can solve this equation with the quadratic formula or by factoring.

I will sove by factoring:

To factor this type of equations we need to find 2 number that satisfy the following:

when multiplied result in +24 (the independent number of the equation) and when added or substracted result in -10 (the coefficient of the x in the equation)

In this case those 2 number are: -6 and -4 because:

(-6)(-4)=+24

-6 - 4 = -10

Thus we arrange our factored equation as follows:

from [tex]x^2-10x+24=0[/tex] through factoring we get:

[tex](x-6)(x-4)=0[/tex]

and because of the zero factor property (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:

[tex]x-6=0\\x=6\\[/tex]

and

[tex]x-4=0\\x=4[/tex]

thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:

(4,0) and (6,0)

109/10 in simplest form explain

Answers

10 9/10.... because 10 can be divided into 109 10 whole times with a remainder of 9 so you put the 9 over the original denominator which is 10 so 9 over 10

Answer: 109/10

Step-by-step explanation:

1. Find the GCD (or HCF) of numerator and denominator

GCD of 109 and 10 is 1

2. Divide both the numerator and denominator by the GCD

109 ÷ 1

----------------

10 ÷ 1

3. Reduced fraction:  

109

-----------

10

Therefore, 109/10 simplified is 109/10

how are the 4 areas of a coordinated grid label ?

Answers

Hope this helps and if you need help I can help you

Five times the quotient of some number and ten

Answers

The answer is going to be 5( n/10)

HELLLLP WILL GET F AND FAIL 5TH GRADE IF INCORRECT!!!!! 15 PTS!!!
Jordan fills several bags with oranges. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

The heaviest bag has (1 + 1/8) lb more than the lightest bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

By looking at the histogram, we can see that the heaviest bag weighs:

M = (5 + 1/2) lb

The lightest bag weighs:

m = (4 + 3/8) lb

Now we need to take the difference between these masses:

M - m =  (5 + 1/2) lb -  (4 + 3/8) lb = (5 - 4) lb + (1/2 - 3/8) lb

M - m = 1 lb + (4/8 - 3/8)lb = (1 + 1/8)lb

This means that the heaviest bag has (1 + 1/8) lb more than the lightest bag.

If you want to learn more about mass:

https://brainly.com/question/11408596

#SPJ2

The number of toys donated by students in 12 classes is shown below. The principal says the average number of toys donated by each class is 26. Explain how this could be misleading.

16, 16, 17, 19, 20, 23, 24, 25, 29, 31, 33, 59

Answers

Answer:

59 is an outlier in the numbers, which increased the average of the toys.

0.34 as a fraction in simplest form

Answers

Answer:

17/50

Step-by-step explanation:

0.34 x 100 / 100

= 34 / 100

Reduce the fraction:

34/100 by 2

2 x 17 = 34

2 x 100 = 50

= 17/50

^ These are the lowest terms.

Answer:

17/50

Step-by-step explanation:

First, write as a fraction :

34/100 since it is thirty-four hundredths

then, simplify by finding GCD(greatest common divisor):

34 divided by 2=17; 100 divided by 2=50 so the fraction becomes:

17/50 in simplest form.

The output of a function or relation, or the set of y-values that a graph is defined for, is called the ___.

Answers

Answer:

Range

Step-by-step explanation:

The range of a graph tells you all of the possible y-values for it.

There is also the domain, which tells you all of the possible x-values.

For example, if you have this relation, that only has these points:

(1, 2) (2, 4) (3, 6)

Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.

The domain would be {1, 2, 3}.

Evaluate log 12y^2 given 12y=16

Answers

Answer:

y=

Step-by-step explanation:

16²=256 sooo....

12y^2=256

6y*6y=256

find what y equals

Answer:

B

Step-by-step explanation:

E2021

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