A city is planning to build a square-shaped playscape at a city park.
The table shows several values for A, the area of the playscape, in square feet, and f(A), the length, in feet, of one side of the playscape. The function represented is .

About how many square feet are in the playscape if the length of a side is 63 feet?
4,000
4,160
4,489
4,830

Answers

Answer 1

Answer:

4,000

Step-by-step explanation:


Related Questions

Which pair of angles is classified in the same category according to the angle measure?

Answers

Explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you in a general way. Let's mention some categories:

1. Category of congruence:

Angles are congruent if they have the same measure. So if we have two angles:

[tex]\angle A=30^{\circ} \\ \\ \angle B=30^{\circ}[/tex]

Then they are congruent. In other words:

[tex]\angle A \cong \angle B[/tex]

1. Category of complementary angles:

Two angles are complementary if they add up to 90 degrees. So if we have:

[tex]\angle A=30^{\circ} \\ \\ \angle B=60^{\circ}[/tex]

They are complementary because:

[tex]\angle A+ \angle B=30^{\circ}+60^{\circ}=90^{\circ}[/tex]

1. Category of supplementary angles:

Two angles are supplementary if they add up to 180 degrees. So if we have:

[tex]\angle A=110^{\circ} \\ \\ \angle B=70^{\circ}[/tex]

They are supplementary because:

[tex]\angle A+ \angle B=110^{\circ}+70^{\circ}=180^{\circ}[/tex]

Answer:

the answer is A

Step-by-step explanation:

i did the assignment

A slide and its ladder form a right triangle with the ground, with the
slide representing the hypotenuse. The top of the ladder is 10 feet above
the ground, and the bottom of the ladder is 12 feet from the bottom of
the slide. What is the length of the slide to the nearest tenth of a foot?​

Answers

Answer:

15.6 ft

Step-by-step explanation:

Let's call

a: distance from the top of the ladder to the ground = 10 ftb: distance from the bottom of the ladder to the bottom of the slide = 12 ftc: length of the slide

From Pythagorean theorem:

c² = a² + b²

c = √(10² + 12²)

c = 15.6 ft

Final answer:

The length of the slide, which forms the hypotenuse of a right-angled triangle with the ground, is approximately 15.6 feet to the nearest tenth of a foot when calculated using the Pythagorean Theorem.

Explanation:

The question involves finding the length of a slide (hypotenuse) when its ladder and the ground form a right-angled triangle. The top of the ladder is 10 feet above the ground (opposite side), and the bottom of the ladder is 12 feet away from the bottom of the slide (adjacent side). We will use the Pythagorean Theorem to solve for the slide's length, which is represented by the equation a² + b² = c², where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.

First, we square the lengths of both legs: 10² + 12² = 100 + 144.Next, we add these squares together: 100 + 144 = 244.Then we take the square root of this sum to find the length of the hypotenuse: √244 ≈ 15.6 feet.Thus, the length of the slide is approximately 15.6 feet to the nearest tenth of a foot.

David leaves the house to go to school. He walks 200 meters west and 125 meters north. How far is he from his starting point?

Answers

Answer:

325 meters

200+125=325

Step-by-step explanation:

can you solve this equation using the quadratic formula with step-by-step process?
2 − 24 = 10x

Answers

Answer : -2.2

Step by step process -

2-24=10x
-22=10x
10x=-22
X=-11/5
11 divided by 11/5 is 2.2 then add the negitive sign
Hope this helps if not let me know I will check my math if it does help pls thank and give this the brainist answer

What is the measure of angle B and C (picture included)

Answers

Answer:

c 63.6

b 97

Step-by-step explanation:

The difference between two numbers is 55. If the smaller number is increased by 15 and the bigger number is decreased by 15. What will be the new difference?

Answers

Answer:

25

Step-by-step explanation:

Lets say the numbers are 100 and 45.

If the smaller number is increased by 15

45+15=60

the bigger number is decreased by 15

100-15= 85

What will be the new difference?

85-60= 25

The new difference will be 25.

Given that,

The difference between the two numbers is 55.

If the smaller number is increased by 15 and the bigger number is decreased by 15.

We have to determine,

What will be a new difference?

According to the question,

Let the first number be x,

And the second number be y.

The difference between the two numbers is 55.

x + y = 55

The smaller number is increased by 15,

Then,

The number is,

45 + 15 = 60

And the bigger number is decreased by 15,

Then,

The number is,

100 - 15 = 85

Therefore,

The new difference between the new number is,

85 - 60 = 25

Hence, The new difference will be 25.

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The volume of a cube is V=s3 , where s is the length of one edge of the cube. What is the edge length s for each cube?

look at the picture for the answer choices:)

Answers

Answer:

s = [tex]\sqrt[3]{999} }[/tex]

Step-by-step explanation:

V = s^3

Plug in the given volume.

999 = s^3

Take the third root of both sides to cancel out the ^3.

[tex]\sqrt[3]{999} }[/tex] = s

Answer:

A)        s = ∛999 in.

what adds to be the bottom number but also multiplies to be the top 15 8

Answers

The answer would be 3 & 5
Because 3+5=8 and 3*5=15

Final Answer:

It's likely that the student is concentrating on a factoring problem. The two numbers are 5 and 3, which when multiplied together equal 8 (the small number) and 15 (the big number).

Explanation:

It appears that you are looking for two numbers that sum up to 8 and multiply by 15, since the bottom number is 8 and the top number is 15.In this case, the appropriate responses are 5 and 3. Specifically, this is why: the sum equals 5 + 3 = 8.15 is the result of multiplying 5 by 3.

So, 5 and 3 are the numbers you're looking for.

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A circle with the equation (x + 4)2 + (y + 2)2 = 36 is reflected over the line x = 1. What is the equation of the image? (x + 4)2 + (y - 2)2 = 36 (x - 6)2 + (y + 2)2 = 36 (x + 6)2 + (y - 2)2 = 36 (x - 4)2 + (y + 2)2 = 36

Answers

Answer:

B

Step-by-step explanation:

Currently, the graph looks like the attachment.

The centre of this circle is at (-4, -2), but when we flip it over the line x = 1 (the blue line on the picture), the centre will become ((1- -4) + 1, -2) = (6, -2).

Look for the equation [tex](x-h)^2+(y-k)^2=r^2[/tex] that matches this center. We want the center (h, k) to be (6, -2), so our equation should look something like:

[tex](x-6)^2+(y+2)^2=36[/tex]

The answer is B.

Answer:

(x - 6)² + (y + 2)² = 36

Step-by-step explanation:

Centre before reflection: (-4,-2)

Centre after reflection:

(-4+5+5,-2) = (6,-2)

(x - 6)² + (y + 2)² = 36

Can you help me with this plz

Answers

Answer:

m<U=95

m<W=85

m<T=119

m<V=61

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so add up <U and <W to equal 180.

z=6

To find <V, subtract <T from 180.

A __________________ is a specific number whose value does not change.
1 point
constant
absolute value
variable
algebraic expression
evaluating

Answers

Answer:

constant

Step-by-step explanation:

it does not change

Answer:

A constant

Step-by-step explanation:

Constants don't change

Select the equivalent expression

(8^2/4^4)^3 = ?

A 8^2/4^4

B 8^6/4^12

C 8^2/4^12

D 8^6/4^4

Answers

So the right answer is of option B.

Hope this will help u..

The equivalent expression of the given equation is option   [tex]\frac{8^6}{4^{12} }[/tex], option B is correct.

How can  equivalent expression be determined?

Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. For instance, the formula 4m + 5 has the terms 4m and 5 as well as m, the variable, all separated by the arithmetic sign +.

Given that

[tex](\frac{8^2}{4^4} )^{3}[/tex]

The numerator = [tex](8^{2} )^{3} = 8^{6}[/tex]

The denominator = [tex](4^{4} )^{3} = 4^{12}[/tex]

Then we can combine the expression as ;

[tex]\frac{8^6}{4^{12} }[/tex]

Therefore, option B is correct.

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Allie must sell at least 50 gift baskets for the band fund-raiser. She already sold 36 baskets. Write and solve an inequality to determine how many more baskets Allie must sell for the fund-raiser.

Answers

Answer

14 more baskets

Step-by-step explanation:

50-36=14

What’s the answer????

Answers

Answer:B

Step-by-step explanation:

Answer:

D. 12

Step-by-step explanation:

The key is to separate this shape into multiple rectangles that you know how to solve the area for. The vertical rectangle has an area of 1*6=6cm, while the two horizontal rectangles each have an area of 1*3=3 cm, giving the shape a total of 12 cm. Hope this helps!

How many groups of 100 can you take out of 941 when diving by 3?

Answers

Final answer:

When 941 is divided by 3, there are 313 groups of 3. To determine the number of groups of 100 that can be extracted, we divide 313 by 100, which results in 3 complete groups of 100 with 13 left over.

Explanation:

The question asks us to find out how many groups of 100 can be taken out of 941 when dividing by 3. First, we must divide 941 by 3 to understand this concept better:

941 ÷ 3 = 313 with a remainder of 2

Now, we know there are 313 groups of 3 in 941. However, the question asks for groups of 100. To find this, we can examine how many complete hundreds fit into the result of 313:

313 ÷ 100 = 3 with a remainder of 13

Therefore, 3 complete groups of 100 can be taken out when 941 is divided by 3, with 13 left over that cannot form another complete group of 100.

Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data are shown. 78 , 65, 72 , 80, 68 , 77, 75 , 52 Which is not a true statement about the data ?

Answers

Answer:

D)50% of the temperatures are less than 77.5 degrees

Step-by-step explanation:

The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%.  So D) is false.

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

x + y = 9
x – y = 7

# Choice
A. (12, –3)
B. (8, 1)
C. (7, 0)
D. (16, –7)

Answers

Step-by-step explanation:

x + y = 9 ......... equation 1

x - y = 7 ............equation 2

Now solving both equations

x + y = 9

x - y = 7

2x = 16

Therefore x = 8

Now putting x = 8 in equation 1

8 + y = 9

Therefore y = 1

Here B (8 , 1) is your answer

Hope it will help you

Answer:

Im answering so the other person can get brainliest! :))

Step-by-step explanation:

Ok I need help asap 15 points!

Answers

Answer:

[tex]-5\frac{1}{2},-3,-2,|2|,|5\frac{1}{2}|[/tex]

Step-by-step explanation:

The || signs you see remove the sign, meaning even if it says negative, it turns into a positive regardless.



Look at these dot plots. Which statement is true about the two data sets?
Both have the same mode.
Both have a gap between 28 and 31.
Both have the same range.
Both have the same number of data points.

Answers

Answer:

Both have the same number of data points

Answer:

Both of them have the same number of data points.

Step-by-step explanation:

please give me brainlyest


The measure of arc OS is (4x-18)
What is the value of x?

Answers

Answer:

The value X=49.5

Step-by-step explanation:

Given:

Arc of 4x-18 is formed .

To  Find:

Value of x

Solution:

Consider a circle in which arc(OS) is formed ,

with OS as diameter so the angle subtended by them is 180 degree.

...(by property of semi circle )

4x-18 =180 degrees.

4x=198

x=198/4

x=49.5 degrees.

Hence the value of X=49.5 degrees

Answer:49.5

Step-by-step explanation:

Consider the following circle with center at point O.
Identify one radii, one diameter, and one chord of the circle. Justify your answers.

Answers

Answer:

Chord: RT (and RS and TU, but those are also diameters)

Diameter: RS or TU

Radii: OU, OS, OT, or OR

Step-by-step explanation:

Chord: A line segment joining two points on a curve. Doesn't have to cross the center. (AKA, they have to touch the outer edge of the circle.)

Diameter: Chord that crosses the center of the circle(All examples given above cross center O)

Radius: Line segment that goes from the center of a circle to an endpoint that lies on the circle.

Suppose you invested $500 in K-Mart stock in October
of 2001. Each month the stock lost 2% of its value.
How much was the stock worth in October of 2002?
(HINT: The loss is per MONTH.)

Answers

Answer:

$380

Step-by-step explanation:

Amount invested in October 2001 = $500

If 2% is lost on stock each month, amount lost every month will be 2% of $500

= 2/100×$500

= $10

In order to know how much the stock will cost by October 2002, we need to know the number of month there is between October 2001 and October 2002.

The number of months within this period is 12months

If $10 is lost per month, the total stock lost for 12months will be

$10×12 = $120

Stock worth by October 2002 = Money invested - Total stock loss

Stock worth by October 2002 = $500-$120

= $380

Two high school basketball teams have identical records of 15 wins and 2 losses.

Sunnyside High School's mean score is 50 points and its MAD is 4 points. Shadyside High School's mean score is 60 points and its MAD is 15 points.

Lin read the records of each team’s score. She likes the team that had nearly the same score for every game it played.

Which team do you think Lin likes?

a
Shadyside - it has the higher average score

b
Shadyside - it has the higher average score and the higher MAD

c
Sunnyside - it has the lower average score but a lower MAD

d
Sunnyside - it has the lower average score

Answers

Answer:c

Step-by-step explanation:

Quadrilateral quad is inscribed in circle o what is the measure of angle d?

Answers

Answer:

angle D is 74 degrees

Step-by-step explanation:

Find the circumference of a circle thats diameter is 6 m

Answers

Answer: 18.85m

Step-by-step explanation:

Answer:

C = 6pi or approximately 18.84

Step-by-step explanation:

We can find the circumference from

C = pi *d  where d is the diameter

C = pi* 6

We can approximate pi by 3.14

C = 3.14 *6

C =18.84

What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has a 9​-cm diameter and 6​-cm depth. Approximate how much ice cream​ (in cm cubed​) is in the​ cone? Use 3.14 for pi.

Answers

Answer:

42.39 [tex]cm^{2}[/tex]

Step-by-step explanation:

cone formula: [tex]V =\frac{1}{3} \pi r^{2} h[/tex]

diameter to radius

9 cm to 4.5

1.) [tex]V = \frac{1}{3} \pi (4.5^{2}) (6)[/tex]

2.) [tex]= \frac{1}{3}\pi (20.25)(6)[/tex]

3.) [tex]= \frac{1}{3} 121.5\pi[/tex]

4.) divide 121.5 by 3

[tex]= 13.5\pi[/tex]

5.) multiply by 3.14

V = 42.39

Answer:

42.39

Step-by-step explanation:

when making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make an all? she poured the juice into quart containers. How many containers could she fill?

Answers

Answer:

Jackie can fill 10 containers

Step-by-step explanation:

5x=32+x

4x=32

x=8

so Jackie used 40 cups of water and 8 cups of concentrate to make the orange juice

4 cups equals a quart

so 40/4 = 10

Jackie can fill 10 containers

Evaluate f(3) for the piecewise function: f(x) = StartLayout enlarged left-brace 1st Row StartFraction 3 x Over 2 EndFraction + 8, x less-than negative 6 2nd row negative 3 x minus 2, negative 4, less-than-or-equal-to x less-than-or-equal-to 3 Third row 4 x + 4, x greater-than 3 EndLayout Which value represents f(3)? –11 8 12.5 16

Answers

Answer:

The answer is -11

Step-by-step explanation:

I just finished the assignment hope this helps!

To evaluate f(3) for the given piecewise function, we use the second part of the function, which applies when x is between -4 and 3, inclusive. By substituting 3 into this piece, we find that f(3) is -11.

To find the value of f(3) for the given piecewise function, we need to determine which piece of the function applies when x is equal to 3. The function is defined as follows:
For x < -6, f(x) =
3x/2 + 8
For -4 ≤ x ≤ 3, f(x) = -3x - 2
For x > 3, f(x) = 4x + 4

Since 3 is within the range of the second piece (-4 ≤ x ≤ 3), we calculate the value by substituting x with 3 in the second function part:

f(3) = -3(3) - 2 = -9 - 2 = -11.
Therefore, the value that represents f(3) is -11.

Stuck on this question.
Please help.

Answers

Answer:

I think it is -1.333...

Step-by-step explanation:

I did cross-multiply

15            y

__    =   ___

-18          1.6

which is -1y=24

y= -1.333

I may be wrong though...

A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the cone?​

Answers

Answer:

Approx. 28952.92

Step-by-step explanation:

Because cone volume is found by V=πr²[tex]\frac{h}{3}[/tex].

First you find the radius. Because you have the diameter, you divide that by two, because it's 48, and diameter is radius multiplied by 2. So the radius is 24. 24pi squared with height divided by three is volume so, 28952.92.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

The volume of the cone is 6028.8 inches³.

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

We have,

Diameter = 48 inches

Radius = 24 inches

r = 24 inches

Slant height = 26 inches

L = 26 inches

L² = h² + r²

26² = h² + 24²

h² = 676 - 576

h² = 100

h = 10 inches

The volume of the cone.

= 1/3 x π x 24 x 24 x 10

= 3.14 x 8 x 24 x 10

= 6028.8 inches³

Thus,

The volume of the cone is 6028.8 inches³.

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