An outdoor ice skating arena is in the shape of a circle with a diameter of 42 feet. Which of the following is closest to the area of the arena?
Answers
Answer:
Step-by-step explanation:
Since the outdoor ice skating arena is in the shape of a circle, we would determine its area by applying the formula for determining the area of a circle which is expressed as
Area = πr²
Where
π is a constant whose value is 3.14
r represents the radius of the circle
From the information given,
Diameter = 42 feet
Radius = diameter/2 = 42/2 = 21 feet
Therefore,
Area = 3.14 × 21² = 1384.74 square feet
Rounding up to the nearest whole number, area of the outdoor ice skating arena would be 1385 square feet
Related Questions
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
Find the slope and the y-intercept of the graph of the linear equation. y= -2x - 1
Answers
Answer:
slope = -2
y-intercept = -1
Step-by-step explanation:
for y = -2x - 1
Using the slope intercept formula y = mx + b, then slope m = -2 and y-intercept is (0,b) or (0,-1)
Y=mx+ c
M=Slope or Gradient
C=Y-intercept
(M) Slope= -2
(C) Y- intercept= -1
Brain list if you do workout
Answers
Anyways here’s the answer:
160 cm squared.
You find volume by doing length x width x height and then take that answer and divide it by 3. When you do 8x6x10, 480, and 480 divided by 3 is 160.
A cup is 16fl oz, you want to fill it to 12fl oz, which is 3/4 of the cup. What is the other percentage of water if you already filled 12.5% of 12fl oz?
Answers
Help pls- I can't, my brain hurts-
Answers
x represents the amount of sweatshirts and y represents the amount of sweatpants
15 dollars for each sweatpants with y players wanting each sweatshirt
So the expression is 28x+15y to get the total amount of money
Imperial telephone has a long distance calling plan that has a monthly fee of $10 and a charge of $0.03 per minute. Mayflower Communications has a monthly fee of $6 and a fee of $0.04 per minute. For how many minutes is Imperial Telephone the cheaper plan?
I don't understand the equations and how to do this lol help
Answers
Answer:
Mayflower Communications is the cheaper plan
Step-by-step explanation:
sorry this is all i could come up with
You have discovered a meteorite that seems to be metallic. Its mass is 370 g, and you calculate the volume to be 50 cm3. Based on the three values provided, which metal would most likely match the composition of the meteorite?
Answers
Answer:
you didn’t provide the metal options, but assuming this question is asking for density composition, the answer is 7.4g/cm^3
Step-by-step explanation:
use the density formula of mass/volume,
370g/50cm^3= 7.4g/cm^3
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
How the heck did we go from this, to this…
Answers
What is the volume of this triangular prism?
Answers
(Bh over 2)h
(Bh)
(. 2 )h
Volume is calculated using the formula volumes = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.
Explaining a triangle
Triangles: What are they? Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Answer: What is a triangle?
A triangle is made up of three vertices, three angles, and three sides. A triangle's internal angles add up to 180 degrees. The triangle's third side is longer than the two sides added together. where is
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want) <3
Answers
Answer:
A. Diego's answer is not correct.
B. 0.00375
Step-by-step explanation:
a. As I counted the thickness of the paper I realized that 0.015 inches is way too think because if we stacked 500 of those it would be 7.5 inches tall.
b. 1.875 ÷ 500 = 0.00375. so that is your answer
Answer:
Answers below
Step-by-step explanation:
A. He is incorrect because 1.875÷500≈2÷500=0.004, so you know he is wrong.
B. 1.875÷500=0.00375. Each piece is 0.00375 inches thick
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Helppppp
what are the answers
Answers
Answer:
A. 24 lap/hour.
B. r = 24h
Need answers asap please when answer put number beside it tysm , will give brainly if all answers are right.
Answers
Answer:
Step-by-step explanation:2,4
Answer:
Step-by-step explanation:
#18 complementary
3x +45 = 90
3x + 45-45 = 90 -45
3x = 45
Divide both sides by 3
3x/3 = 45/3
x = 15
#20 supplementary
2x + 3x + 25 = 180
5x + 25 = 180
5x + 25 - 25 = 180 -25
5x = 155
Divide both sides by 5
5x/5 = 155/5
x = 31
#15 - vertical
4x - 25 = 75
4x - 25 + 25 = 75 + 25
4x = 100
Divide both sides by 4
4x/4 = 100/4
x = 25
#16 - complementary
4x + 2x = 90
6x = 90
divide by 6 each side
x = 15
#19 complementary
x -20 + x = 90
2x -20 = 90
2x -20 + 20 =90 +20
2x = 110
Divide both sides by 2
2x / 2 = 110/2
x = 55
Hudson was working on the problem 1/8y=4 He thought he should multiply bolth sides of the equation by 8 to get 32.
PLEAZE ANSWERRR
EMERGENCYY
Answers
Answer: Use the given functions to set up and simplify
32. 1/8y = 4He= y =32He8= y =32He32=y=32He
what is 2+2. i need an answer now
Answers
Answer:
4
Step-by-step explanation:
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
25 students were randomly sampled about their favorite class,
Math=18 students
Science=2 students
English=2 students
Other=3 students
Predict the number of students in an entire school of 300 students whose favorite subject is math.
Answers
300 x 0.72 = 216 students
Plz help me with this assignment! I need help asap!
First one to answer correctly will get brainliest!!
Answers
Answer:
3). 1.21
4). 0.57
Step-by-step explanation:
Quarter = 25 cents
Nickel = 5 cents
Penny = 1 cent
Answer:
(a) 1.21 (b) 0.52
Step-by-step explanation:
Dan bought one package if blackberries for 3 dollars/euros. How many packages can Darryl buy if he has 15 dollars/euros?
Answers
Answer:
Dan can buy 5 bags for 15 dollars
Step-by-step explanation:
divide 15 and 3 it will equal 5
Answer:
5 packages of blackberries for $15 EUR
Step-by-step explanation:
Solve with SF;
Scale factor is 3/1
y = 1/3x
y = 1/3(15)
y = 15/3
y = 5
Consider Brainliest!
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
I will give brainliest PLEASE HELP
Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She originally planned for the length of the actual courtyard to be 54 feet, but she decided to change it to 72 feet. If the length of the courtyard is 18 inches in her scale drawing, which statement about the change of scale is true?
One inch represented 1 foot in the first scale, but now 1 inch represents 4 feet in the second scale.
One inch represented 4 feet in the first scale, but now 1 inch represents 3 feet in the second scale.
One inch represented 54 feet in the first scale, but now 1 inch represents 72 feet in the second scale.
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.
Answers
Answer:
scale 1-1in=3ft
scale 2-1in=4ft
Answer:
Step-by-step explanation:
I feel like its C
Debra sold t-shirts at a festival. She made $5 for each t-shirt she sold. Her expenses were $22. If she made a profit of $83, how many t-shirts did she sell?
Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 22, and 83. Let x represent the number of t-shirts.
answer options:
_x+_=_
_x-_=_
Answers
Answer:
Step-by-step explanation:
she sold 22
What is this in simplest form
Answers
Answer:
this is the simplest form
Step-by-step explanation:
since there is a variable in the fraction, you can't simplify it any further until we know that term.
Answer:
-7y/2
Step-by-step explanation:
-7y/2 cannot be simplified any further as there are no common factors of -7y and 2
find the value of x in the equation without evaluating the power
Answers
Answer:
4
Step-by-step explanation:
Here's my method of doing this:
We'll be using logarithms
Our question is:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
If we don't want to evaluate any powers at all we'll have to make each term have the same base (so that we can ignore the base — \(\frac{1}{3}\))
we need to figure out what power of a \(\frac{1}{3}\) the \(\frac{1}{729}\) is.
what we can do is the following:
\((\frac{1}{3})^?\) = \(\frac{1}{729}\)
\(3^?\) = 729
If we take the "log" of each, we can find out what power of 3 gives 729.\(log(3^?) = log\ 729\)
We must remember this rule: \(log(a^n) = n \times log(a)\)
\(? \times log 3 = log 729\)
\(? = \frac{log\ 729}{log\ 3}\)
? = 6 (with a calculator)
This means that to get 729, we need to do \(3^6\)
Therefore \((\frac{1}{3})^6 = \frac{1}{729}\)
We can now solve the equation!
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \(\frac{1}{729}\)
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\)
Since each term of our equation has the same base of \(\frac{1}{3}\) we can ignore it and just deal with the powers!
We must remember this rule: \(x^a \times x^b = x^{a + b}\)
Using this rule:
\((\frac{1}{3})^{2}\) × \((\frac{1}{3})^x\) = \((\frac{1}{3})^6\) becomes...
\(2 + x = 6\)
\(x = 6 - 2 = 4\)
I really need the the answer to these 2 questions pleaseeeee
Answers
Answer:
48
Step-by-step explanation:
29+12=41
89-41=48
Hope this helped I tried simplifying this answer
I need answers and to fill in the blanks, I'm sorry if this is a little amount but here's 15 points
Answers
Answer:
why thank you!
Step-by-step explanation:
but if you need help I'm here
Answer:
Step-by-step explanation:
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?
(show work please)
Answers
Answer: The answer is 120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120