A circular playground is 60 feet wide and has a 3-foot wide path surrounding the playground. The area of the playground is about

Answers

Answer 1

Answer:

i think its 180

Step-by-step explanation:

u have to multiply 60 and 3 and u will get 180

Answer 2

The area of a circular playground with a diameter of 60 feet is calculated using the formula Area = π × radius². With a radius of 30 feet, the area is approximately 2826 square feet. Therefore, the area of the playground is about 2826 square feet.

To find the area of a circular playground, we first need to know its radius. Since the diameter of the playground is given as 60 feet, the radius (which is half the diameter) is:

Radius = Diameter / 2 = 60 feet / 2 = 30 feet

The formula for the area of a circle is:

Area = π × radius²

Using π as approximately 3.14, we can calculate the area:

Area = 3.14 × 302 = 3.14 × 900 = 2826 square feet

Therefore, the area of the playground is about 2826 square feet.


Related Questions

Suppose triangle ABC is dilated with center (0,0) and scale factor 0.25, and the resulting image is then reflected in the x-axis to make triangle PQR. What are the coordinates of point P?

Answers

Coordinate of P, after the sequence of transformation is

(-1.25, -1)

How to find the coordinate of P

To find the coordinate of P we first establish that P is in corresponding position with A

Coordinate of A is (-5, 4)

Dilation by 0.25 will result to (-5 * 0.25, 4 * 0.25) → (-1.25, 1)

Reflection over the x-axis is done as follows

(-1.25, 1) → (-1.25, -1)

What is the radius and diameter of the following circle?
14 cm
Radius
cm
Diameter
cm

Answers

Diameter=14cm
Radius=14 divided by 2
Radius=7cm

Answer:

Radius = 7cm

Diameter = 14cm

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes across the entire circle, so it is the diameter

Diameter = 14 m

The radius of a circle is half the length of the diameter.

r = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{14}{2}[/tex]

r = 7 cm

This is why the radius is 7cm, and the diameter is 14cm.

Hope this helped!

In ΔRST, the measure of ∠T=90°, the measure of ∠R=64°, and RS = 5.8 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

The length of ST to the nearest tenth of a foot is 5.2 ft

Step-by-step explanation:

Here we have

∡T = 90°

∡R = 64°

RS = 5.8 ft

To answer the question, we have apply sine rule as follows;

[tex]\frac{a}{Sin\alpha } = \frac{b}{sin\beta } = \frac{c}{sin\gamma}[/tex]

Therefore, for triangle RST, we will have;

[tex]\frac{RS}{SinT } = \frac{ST}{sinR } = \frac{RT}{sinS}[/tex]

Therefore;

[tex]\frac{5.8}{Sin90 } = \frac{ST}{sin64 }[/tex] from which

[tex]{ST}{ } = \frac{5.8 \times sin64}{Sin90 } = 5.213 \, ft[/tex]

Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.

Answer: 53 degrees

Step-by-step explanation:

if the points are connected what polygon is formed

Answers

You need to include an image so I can help

what is 100 percent if 27 is 45%

Answers

Answer:

YOUR WRONG 27 IS NOT 45%

Step-by-step explanation:

[tex]\frac{27}{100}[/tex]=27%

100%=1 whole

Answer:

It is 60

Step-by-step explanation:

A better way to rephrase the problem is:

"what is 100 percent of something if 27 is 45% of something. ?"

so

100% * X  = ?

given:   27 = 45% * X

Solve for X,

27/ 45% = X

X = 27 / 0.45 = 60

so.  100% * X = 100% * 60 = 1 * 60 = 60

The original price of a computer games is 45$. The price is marked down by 18$. What percent of the original price is the markdown?

Answers

Answer:

40%

Step-by-step explanation:

When we say the price of an object is marked down, it means the price of the object was reduced or decreased from the initial or original price.

In the above question:

The original price of a computer game = $45

The price is marked down or decreased by $18

We are asked to find the percent of the original price that is marked down.

This is calculated as:

(The price that the original price is marked down by ÷ Original price ) × 100

= ($18 ÷ $45) × 100

= 40%

Therefore, the percent of the original price that is marked down is 40%.

Answer:

it will be 40%

Step-by-step explanation:

round 462 to the nearest 100.

Answers

Answer:

462 to the nearest hundred is 500

So your answer is 500

Step-by-step explanation:

Mark as brainliest please

Answer:

500

Step-by-step explanation:

Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a radius of 5 cm and a slant height of 10 cm. One location wants to offer the cones a weekend earlier, so they plan to make the cone-shaped wrappers for first 25 waffle cones sold that Saturday. About how many square cm of wrapper paper will they need? (Round up to the nearest cm.)

Answers

Answer:

3927 cm² wrapping paper will be required.

Step-by-step explanation:

Lateral surface area of a cone shaped wrapper = πrl

where, r = radius of the waffle cone

and l = slant height of the cone

It has been given in the question, radius 'r' = 5cm

and lateral height 'l' = 10 cm

Lateral surface area of the cone = π(5)(10)

                                                      = 50π

                                                      = 157.08 cm²

If they plan to make 25 waffles then wrapper paper required

= 25×157.08

= 3927 cm²

Therefore, 3927 cm² wrapping paper will be required.

Find the value of x.

Answers

The value of x is 18

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{60 + 27} \\ \: \: \: \: \: \: \: \: \frac{80}{80 + 2x} = \frac{60}{87} \\ \: 60(80 + 2x) = 80 \times 87 \\ 4800 + 120x = 6960 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 6960 - 4800 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120x = 2160 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{2160}{120} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 18[/tex]

So, the value of x is 18

Hope it helpful and useful :)

Please help!!!

find the median, first quartile, third quartile, and interquartile range of the data.

12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73

Answers

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Convert the polar equation r = 2 costheta in Cartesian equation form.

Answers

Answer:

To transform from polar coordinates  into Cartesian coordinates  we have:

x = r x cos(theta)

y = r x sin(theta)

r^2 = x^2 + y^2

=>   r = 2*cos(theta)

<=> r = 2*(x/r)

<=> 2x = r^2

<=> 2x  = x^2 + y^2

Hope this helps!

:)

Answer:

x² + y² - 2x = 0

Step-by-step explanation:

r = sqrt(x² + y²)

x = r cos(theta)

r = 2 cos(theta)

Multiply both sides by r

r² = 2r cos(theta)

x² + y² = 2x

01) Solve for x the equation 5x - 3=12*
O
x=1
O
x=3
O x=5
O x=7

Answers

x=3

Step-by-step explanation:

five time three is fifteen minus three is twelve.

x=3 is the solution to the equation 5x - 3 = 12.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To solve for x in equation 5x - 3 = 12, we need to isolate x on one side of the equation.

First, we can add 3 to both sides of the equation:

5x - 3 + 3 = 12 + 3

Simplifying the left-hand side:

5x = 15

Next, we can divide both sides of the equation by 5:

5x/5 = 15/5

Simplifying the left-hand side:

x = 3

Therefore, the solution to the equation 5x - 3 = 12 is x = 3.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

What is the answer plz help

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

The slope always goes before the x and your y-intercept is plus or minus depending on weather it is positive or negative. Your parent function or standard equations) is y = mx + b, so just plug your variable into there.

Question 7
4 pts
Assuming that the Earth is a sphere of radius 4000 miles, find the
distance between the following two cities whose latitudes are given.
You may assume that these cities are on the same basic longitude.
Cincinnati, Ohio (39° 8' 46" N) and Huntsville, Alabama (34° 43'41"N)
Next >

Answers

Answer:

308.4miles

Step-by-step explanation:

Given that radius of earth= 4000miles

Change in latitude = 39° 8' 46" - 34° 43'41"

= 4° 25' 5"

= 4+25/60+5/3600

4+0.4166+0.00138

θ = 4.417°

Converting to radian = 4.417°×π÷180

= 4.417×0.0174

= 0.07710

Distance between the cities = rθ

S = 4000×0.07710

S= 308.4miles

Final answer:

The distance between Cincinnati, Ohio and Huntsville, Alabama is calculated by first converting their latitudes to radians, finding the difference, and then using the arc length formula on a sphere (assuming both cities are on the same longitude). The estimated distance is approximately 308 miles.

Explanation:

The question is asking to calculate the distance between Cincinnati, Ohio and Huntsville, Alabama, assuming the Earth is a sphere with a radius of 4000 miles and that both cities are on the same longitude. To calculate the distance, we first convert the latitudinal degrees to radians and then use the formula for arc length on a sphere, which is:

Arc Length = radius times (latitude1 - latitude2)

Firstly, convert the latitudes from degrees, minutes, and seconds to decimal degrees:

Cincinnati, Ohio: 39 degrees, 8 minutes, 46 seconds N = 39 + (8/60) + (46/3600) = 39.1461° NHuntsville, Alabama: 34 degrees, 43 minutes, 41 seconds N = 34 + (43/60) + (41/3600) = 34.7281° N

Then, convert the decimal degrees to radians:

Cincinnati: 39.1461° times (π/180) = 0.6832 radHuntsville: 34.7281° times (π/180) = 0.6062 rad

Calculate the difference in latitude in radians:

Difference in latitude = 0.6832 rad - 0.6062 rad = 0.077 rad

Finally, use the arc length formula:

Arc length = 4000 miles times 0.077 rad = 308 miles

Therefore, the distance between Cincinnati, Ohio, and Huntsville, Alabama, is approximately 308 miles.

One month Jane rented 5 movies and video games for a total of .$34 The next month she rented 2 movies and video games for a total of .$73 Find the rental cost for each movie and each video game.

Answers

Answer: each movie costs $6.80, each game costs $29.7

Step-by-step explanation:

First to find the movie cost i divided 34/5, and it gave me an answer of 6.80, then i multiplied 6.80 by 2 because it said you bought 2 movies along with 2 video games, 6.80 times 2 is 13.6. afterwards i subtracted, 73-13.6, my answer was 59.4, later i divided that by 2, and each game is $29.7, and each movie is $6.80

y=x^2-6x+7 from algebra nation

Answers

Answer:

Step-by-step explanation:

We

I had to give u a screenshot...here u go.

find the measure to the nearest degree

1. tan A= 1.6643

2. sin A= 0.8480

3. cos A= 0.3420

4. cos U= 0.4695​

Answers

Answer:

1. tan A= 1.6643

A = tan^-1(1.6643)

A = 59° , 239°

2. sin A= 0.8480

A = sin^-1(0.8480)

A = 58°, 122°

3. cos A= 0.3420

A = cos^-1(0.342)

A = 1° , 359°

4. cos U= 0.4695​

U = cos^-1(0.4695)

U = 62°, 298°

Answer:

Please see the attached pictures for the full solution.

George has two different savings accounts. Savings Account A currently has $140 after one year. It earned 12% interest during that year. Savings Account B currently has $160 after one year. It earned 20% interest during that year. How much money in total did George have in the accounts at the beginning of the year?

Answers

Answer:

A= 125$ B=134

Step-by-step explanation:


PLZ HELPP!!!!

Alexia set up the tent below in case it rained during the barbecue.Which equation shows how to determine the volume of the tent?Mark this and return

Answers

Answer: its A

Step-by-step explanation:i did the test

Answer:

Its A

Step-by-step explanation:

thx byye

PLEASE ANSWER ASAP!
Five tickets to a carnival cost $45. How much would seven tickets cost?

Answers

45 (price of them) divided by 5 (the amount of tickets) = £9
one ticket = £9
so 9 (the price of one ticket) x 7 (the number of tickets) is £63
the answer is 63.

Answer: it will cost 63

Step-by-step explanation:

Since 5 times 9 is 45, I’ve assumed that the tickets cost 9 dollars, hence 7 times 9 equals 63

Keesha bought 11 binders and notebooks
from the store and spent $45. Binders cost
$6 each and notebooks cost $2.50 each. Which
two equations can be used to find the number
of binders, b, and notebooks, 11, she purchased?

Answers

Answer:

sssssssss

Step-by-step explanation:

Given,

Keesha bought = x binder.

Let Keesha bought (11-x) notebook.

Total money spent = $45

Cost of each binder = $ 6

Cost of each notebook = $ 2.50

Now,

Equation

$ 6 × x + $ 2.50 × (11-x) = $ 45

$ 6 x + $27.5 - $ 2.50 x= $ 45

$ 3.50 x = $ 17.5

x = 5

Number of binder = 5.

Number of cover = 11-5 = 6.

Final answer:

The two equations to determine the number of binders (b) and notebooks (n) Keesha purchased are: b + n = 11 and 6b + 2.50n = 45. These equations are based on the total number of items and the total cost of the items.

Explanation:

To determine the number of binders and notebooks Keesha purchased, we need to set up two equations based on the given information. The first equation will represent the total number of items purchased, and the second will represent the total cost of those items.

Equation 1 (total number of items):
b + n = 11

Equation 2 (total cost):
$6 × b + $2.50 × n = $45

In the above equations, b represents the number of binders and n represents the number of notebooks. These two equations can be used to solve for the variables b and n using methods such as substitution or elimination.

Work out the area of a rectangle with base=32mm and perimeter=78mm

Answers

Answer:

224

Step-by-step explanation:

[tex]A = P[/tex] [tex]\frac{l}{2}[/tex]﹣[tex]l^{2}[/tex] = [tex]78[/tex] · [tex]\frac{32}{2}[/tex]﹣[tex]32^{2}[/tex] [tex]= 224[/tex]

Which decimal is equivalent to 5/6 ?
A. 0.83
B. 0.83
C. 0.833
D. 0.56

Answers

The answer is C. 0.8333
Yea the answer is C

the mean of 8 numbers is 12. Five of the numbers are 6, 8, 5, 10 and 28. The remaining 3 numbers are each equal to k. Find
(i) The sum of the 8 numbers
(ii) The value of k

Answers

Answer:

(i) 96

(ii) k = 13

Step-by-step explanation:

(i)

numbers averaged x Average of the numbers = Total of all of the numbers

8 x 12 = 96

(ii)

6 + 8 + 5 + 10 + 28 + 3k = 8 x 12

57 + 3k = 96

3k = 39

k = 13

The table shows the scores for three teams over five games.
Team A
Team B
Team C
56
65
45
48
32
30
29
60
45
48
32
45
59
28
82
Which team has the mode with the highest score?
Select from the drop-down menu to correctly complete the statement.

has the mode with the highest score.

PLEASE HELP!

Answers

Answer:

Team A-

Modes are alike numbers.

Team A had two 48s

Team B had two 32s

and Team C had three 45s

48 is the highest number

Step-by-step explanation:

i answerd it right on e d g e n u i t y

if point a is located at -8 on a number line and point b is located at 3 on the same number line, what is the distance between a and b?​

Answers

Answer:

11

Step-by-step explanation:

-8 is 8 spaces away from 0 and 3 is 3 spaces away from zero so you add 8 and 3 and get 11.

WILL GIVE BRAINLIEST URGENT
The total time T (in hours) needed to fly from New York to Los Angeles and back can be modeled by the equation below, where d is the distance (in miles) each way, a, is the average airplane speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream. Simplify the equation. Then find the total time it takes to fly 2468 miles when a = 510 miles per hour and j = 115 miles per hour.

T = d/ a − j + d / a + j

Group of answer choices

8.4 hrs

10.2 hrs

2.3 hrs

12.5 hrs

Answers

Answer:

23 hours

Step-by-step explanation:

To solve, we need to substitute into the given equation:

T = d/a − j + d/a + j

T = 2468/510 (-115 + 2468/510 + 115)

T = 4.83921568627 (-115 + 4.83921568627 + 115)

T = 23.4180084582

Approx: 23 hours

I'm always happy to help :)

Answer:

10.2

Step-by-step explanation:

ok so simplified your equation is [tex]T=\frac{2da}{(a+j)(a-j)}[/tex] so you plug in your numbers.

[tex]T=\frac{2(2468)(510)}{(510+115)(510-115)}[/tex] after adding 510 and 115 you get 625 but both 510 and 625 are divisible by 5 so divide each by 5. you should have:

[tex]T=\frac{2(2468)(102)}{(125)(395)}[/tex] so just solve basically. [tex]T=\frac{503472}{49375}[/tex] it comes out to 10.196 but after some rounding its 10.2

Hope this helps!

I had the same problem too for math today so might as well help ya!

Graph the circle which is centered at (-5,1) and has a radius of 4 units

Answers

(y+5)^2 + (x-1)^2 = 16
[^2 meaning squared]

what 1256.64 rounded to the nearest tenth

Answers

Answer: The answer to this question is 1256.6

Answer:

1256.6

Step-by-step explanation:

How many centimeters are in 3 meters

Answers

Answer: 300 Centimeters

Step-by-step explanation: 1 meter is 100 cenimeters so you multiply the number of meters by 100 to get it into centimeters so 3 * 100 = 300

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