find the area and circumference of each circle. Use pi in your answer (example: radius = 8, or diameter = 14).
Answers
Answer:
Solutions below.
Step-by-step explanation:
First, we have to define each of the formulas first.
Area of Circle =
\(\pi {r}^{2} \)
Circumference of Circle =
\(2\pi \: r\)
With the above formula above, we can find the Area and Circumference for each circle.
Circle A:
Radius = 8
Area =
\(\pi {(8)}^{2} = 64\pi {units}^{2} \)
Circumference =
\(2\pi(8) = 16\pi \: units\)
Circle B:
Diameter = 14 units
Radius = 14 ÷ 2 = 7 units
Area =
\(\pi {(7)}^{2} = 49\pi {units}^{2} \)
Circumference =
\(2\pi(7) = 14\pi \: units\)
Circumference: 50.26
Area: 153.93
Circumference: 43.98
Related Questions
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.
Part A. What is the volume of the prism, in cubic inches?
Part B. What is the surface area of the prsim, in square inches?
Answers
Answer:
960 is the volume and 80 is the surface area.
Step-by-step explanation:
For the volume you multpliy 12*8*10=960
Then for surface area you multpily 10*8=80
Which expression is equivalent to twice b plus the sum of 2 and b?
Answers
Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be used to find how many batches Tyra can make with the sugar she has. If r is 2/3 cup, how many batches of cookies can Tyra make?
Answers
Answer:
13 batches of cookies
Step-by-step explanation:
12 2/3 ÷ 2/3 = 12.6666667, it's 13 because 2/3 as a decimal is .6666666 and .6666667 is more than 2/3. So you add one to the answer.
Answer:
13
Step-by-step explanation:
because 12 23 divided by 2/3=12.6666667 so .6666667 is greater than 2/3, then simplify your answer to the closest value.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answers
Answer:
\(43/100\)
Step-by-step explanation:
First, make both of the denominators into 100.
Then, 3/10 would be 30/100.
Finally, you can add them to get 43/100.
Make both denominators into 100 so that means 3/10 would be 30/100 then you add both so 30/100+ 13/100 only adding the numerators so it will equal 43/100
Help with this please.
Answers
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
15 points to whoever answers this!!
Answers
Answer:
\(\frac{16}{27}\)
Step-by-step explanation:
From the table, we notice that the total number of students is:
\(3+10+8+6=27\)
Then, along the second column of the table, we notice that the number of students who do not have a brother is:
\(10+6=16\)
So, the probability that a randomly chosen student does not have a brother is:
\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)
How many yards and feet are equivalent to 10,000 feet? (1 yard = 3 feet)
Answers
Select all equations that are true. A. 3 4 − 1 2 = 1 4 B. 9 16 − 4 8 = 5 8 C. 7 8 − 3 4 = 1 8 D. 7 15 − 1 3 = 6 15 E. 1 2 − 1 20 = 10 20
Answers
Answer:
none are correct
Step-by-step explanation:
Answer:
All of the equations are incorrect because:
A. 34 - 12 = 22
B. 916 - 48 = 868
C. 78 - 34 = 44
D. 715 - 13 = 702
E. 12 - 120 = -180
Sindy bought a pair of jeans with a price tag of $68.00. She paid 8% sales tax. How much sales tax did she pay and what was her final price including tax?
Answers
Answer:
Step-by-step explanation:
Sindy paid $5.44 in sales tax, and her total price was $73.44.
Sales Tax: 68 x .08= 5.44
Final Price: 68 + 5.44= 73.44
Answer:
To find sales tax, you need to find the percent of;
$68.00 * 8%
$68.00 * 0.08
= $5.44
$5.44 is the sales tax
Add the sales tax to the original amount:
$68.00 + $5.44 = $73.44
So the final price including tax is equal to $73.44.
please help!!!!!
Which of the following tables represents a linear relationship that is also proportional?
x y
0 0
4 2
8 4
x y
0 1
2 3
4 5
x y
0 2
3 5
6 8
x y
0 3
6 5
12 7
Answers
We have learned this about a month ago and from what I can recall 8 4 is the answer
3² x 3 x 3 x 3=
Simplified into exponential form
Answers
Answer: \(3^5\)
Step-by-step explanation:
You add \(3^2\) and 3 x 3 x 3, which is the same thing as \(3^3\) and you add the exponents. Then, you get \(3^5\) and theres your answer.
help! i dont this math problem please due soon!
Answers
Answer:
12x12 12x6 H = 46cm
Step-by-step explanation:
took quiz
Answer:
46 cm
Step-by-step explanation:
I learned this formula in math last year
Need to know, are these two equal
Answers
Answer:
They are equal.
Step-by-step explanation:
\(-\frac{7y}{2}\) = \(-\frac{7}{2} y\)
\(-\frac{7y}{2}\\\) · 2 = \(-\frac{7}{2} y\) ·2
\(-7y + 7y=-7y+7y\)
\(0=0\)
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
A composite figure is shown.
A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 6 feet. The portion from a point to a vertical line created by two vertices is 6 feet.
Which of the following represents the total area of the figure?
968 ft2
616 ft2
484 ft2
352 ft2
Answers
Option (C) 484 ft²
Step-by-step explanation:The Five Sided figure can be divided into 2 Triangles and 1 Rectangle.
The Dimensions of the Triangle that is on the Left are as follows:Length of the triangle = 22 Feet
Breadth of the triangle = 8 Feet
Area of the triangle = (Length * Breadth) / 2
= (22 * 8) / 2
= 176/2
= 88 ft²
The Dimensions of the Triangle that is on the Right are as follows:Length of the triangle = 22 Feet
Breadth of the triangle = 4 Feet
Area of the triangle = (Length * Breadth) / 2
= (22 * 4) / 2
= 88/2
= 44 ft²
The Dimensions of the Rectangle are as follows:Length of the rectangle = 22 Feet
Breadth of the rectangle = 16 Feet
Area of the triangle = (Length * Breadth)
= (22 * 16)
= 352 ft²
The Total Area of the Five Sided figure can be found by summing up the areas of the Triangles and the Rectangle.
The Total Area of the figure is 88 + 44 + 352 = 484 ft²
So, the total area of the figure is 484 ft².
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Mark BRAINLIEST
The area of the trapezoid is 308 ft2, the correct option is D.
We are given that;
Shorter side= 16 feet
b2=6+6=12 ft
Height= 22 feet
Now,
To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the bases) and the height. The formula for the area of a trapezoid is:
A=21(b1+b2)h
where b1 and b2 are the lengths of the bases and h is the height1.
Substitute these values into the formula and simplify:
A=21(16+12)×22
A=21×28×22
A=14×22
A=352
Therefore, by the area the answer will be 308 ft2.
Learn more about the area;
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Find the distance between each pair of points
Answers
Answer:
4: (0, 4)
5: (0, 8.8)
6: (0, 6)
7: (10, 0)
Step-by-step explanation:
6-2=4
5.5-(-3.3)=8.8
-7/12-(-1/2)
31/4-(-9/4)=10
The distances between the points are:
4) 45) 8.86) 67) 10How to find the distances between the points?The distance between two points (a, b) and (c, d) is given by:
\(distance = \sqrt{(a - c)^2 + (b - d)^2}\)
4) Here the points are (-5, 2) and (-5, 6) so the distance is:
\(distance =\sqrt{(-5 - (-5))^2 + (6 - 2)^2} = 4\)
5) Here the points are (4.5, -3.3) and (4.5, 5.5), so the distance is:
\(distance = \sqrt{(4.5 - 4.5)^2 + (-3.3 - 5.5)^2 } = 8.8\)
6) Here the points are (5 + 1/2, -7 - 1/2) and (5 + 1/2, -1 - 1/2), so the distance is:
\(distance = \sqrt{(5.5 - 5.5)^2 + (-7.5 - (-1.5)^2)} = 6\)
7) Here the points are (-2.25, -8) and (7.75, -8), so the distance is:
\(distance = \sqrt{(-2.25 - 7.75)^2 + (-8 + 8)^2} = 10\)
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Which is a Function and which isn't a Function
Answers
Answer: I believe that A is the function to this problem
Step-by-step explanation:
Answer:
1 - A is not a function
2 - B is not a function
3 - A is not a function
X can have only 1 value
for example 2B features x=5 where f(x) = -4 but also 1. That means it's not a function
Find the probability of spinning each of the following colors
P=probability
Write each probability as a fraction.
1/3 red
2/5 yellow
1/6 blue
? green
a. What is the P(green)?
b. What is the P(yellow or blue)?
c. What is the P(not red)?
Answers
Plz help i need answer fast i will mark brainliest and follow you
Answers
Answer:
i don't know if i am right but the rectangle should be -4 and i don't know for triangle
Step-by-step explanation:
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Ms. Petersen runs the school cafeteria. In October, she had to order 15 cases of chocolate milk twice because the students at her school love it so much. Each case contains c cartons of chocolate milk.
Answers
Ms. Petersen ordered 30c cartons of chocolate milk in October.
brief detail
To solve the problem, we need to know the total number of cartons of chocolate milk that Ms. Petersen ordered in October.
If she ordered 15 cases of chocolate milk twice, she ordered a total of 30 cases of chocolate milk (15 x 2).
We are also told that each case contains c cartons of chocolate milk. So, the total number of cartons of chocolate milk that Ms. Petersen ordered is:
30 cases x c cartons per case = 30c cartons
explanation:
No of cartoon of chocolate milk
= c
No of cases ordered = 15*2
Each cartoon contains chocolate milk = 15*2*c
=30 c
A certain reality TV show lost a total of 10000 viewers over the past 2 months. It lost the same number of viewers each month. How many viewers did they lose?
Answers
In a city, there are 16 swimming pools. On weekends, 6 of the pools are open.
George says the ratio of pools open on weekends to the total number of pools is 6:16.
Emma says the ratio of pools open on weekends to the total number of pools is 6:11.
Which student is correct? Explain.
Answers
Answer:George
Step-by-step explanation: George is correct because Emma said that the total number of pools in the city is 11 even though it says there are 16 pools in the city, but she got the number of how many are open, George is right because it says what is the ratio of pools open on the weekends to the total amount of pools, and it says there are 6 pools open on the weekend and there are 16 pools in the city in total so he would do 6:16.
George is correct they said that the ratio of pools open on weekends to the total number of pools is 6:16.
What are ratios and proportions?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys and three-quarters are girls.
Given that In a city, there are 16 swimming pools. On weekends, 6 of the pools are open.
George says the ratio of pools open on weekends to the total number of pools is 6:16.
Emma says the ratio of pools open on weekends to the total number of pools is 6:11.
George is right that the ratio of the open pools to the total pools will be 6:16.
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Veronica takes 1/3 of an hour to write 1/4 of a page of calligraphy.
How long will it take Veronica to write one page of calligraphy?
A. 3/4 hour
B. 1 1/3 hours
C. 1 2/3 hours
D. 3 hours
Answers
Explanation:
If 1/4 of the page takes her 1/3 of an hour (which is about 20 minutes) then you have to multiple 1/3 by 4
1/3 x 4/1
4/3
then you simplify
1 and 1/3
Answer:
Im pretty sure the answer is B because if you count by thirds to finish it would be 4/3 so its B
Step-by-step explanation:
HURRY 50 POINTS
What is the height of a cylinder with a radius of 3 and a volume of 189?
Answers
Answer:
6.68 units (2 d.p.)
Step-by-step explanation:
The formula for the volume of a cylinder is:
\(\boxed{V=\pi r^2 h}\)
where:
V is the volume.r is the radius of the circular base.h is the height.Given values:
V = 189 cubic unitsr = 3 unitsTo find the height of the cylinder, substitute the given values into the formula and solve for h:
\(\implies 189=\pi \cdot 3^2 \cdot h\)
\(\implies 189=9\pi \cdot h\)
\(\implies \dfrac{189}{9 \pi}=\dfrac{9\pi \cdot h}{9 \pi}\)
\(\implies \dfrac{189}{9 \pi}=h\)
\(\implies h=6.6845076...\)
Therefore, the height of a cylinder with a radius of 3 units and a volume of 189 cubic units is 6.68 units (2 d.p.).
Answer:
h≈6.68
Step-by-step explanation:
6.68 is the height of a cylinder with a radius of 3 and a volume of 189
jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 5 inches. How much paper will she use?
Answers
Answer: 420
Step-by-step explanation:
The temperature changed by negative 30° every hour for 2 1/5 hours. By how much did the temperature change?
Answers
Answer:
By -66° because -30°(2 1/5) = -66°
The length-to-width ratio of a television screen is 4 to 3. Mya bought a television with a length of 48 inches. What is the width of the television? 12 inches 24 inches 36 inches 42 inches
Answers
Answer : the answer is 36 inches because the length it 48 inches and it ratio is 4 and width ratio is 3 so it has to be 36 inches
What is the sum of |-12| and |-10|?'
(i know the answer! just asking some questions to give out points! if your answer is correct ill give brainlists!)
Answers
|-12| |-10|
12 + 10
= 22
22
there are no negatives for absolute value, since it is just a measurement of how far away the number is from 0. You said you know the answer, so i dont really need to explain, but i want to feel like i earned brainliest