Answer:
1. r = C/2π
2. A = π(C/2π)^2
Step-by-step explanation:
1. C = 2πr^2
C/2π = 2πr/2π
C/2π = r
r = C/2π
2. A = π(C/2π)^2
3. Look at screenshot
Answer:
C^2 = 4πA
Step-by-step explanation:
The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.
The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]
The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:
[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]
In other words,
[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]
For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:
[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]
For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:
[tex]A=\frac{C^2}{4*\pi}[/tex]
For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA
In other words, the circumference of the circle squared is equal to 4π times the area of the circle
1. A school athletic director asked each athletic team member to name his or her favorite professional sports team. The results are below:
• D.C. United: 3
• Florida Panthers: 8
• Jacksonville Jaguars: 26
• Jacksonville Sharks: 7
• Miami Dolphins: 22
• Miami Heat: 15
• Miami Marlins: 20
• Minnesota Lynx: 4
• New York Knicks: 5
• Orlando Magic: 18
• Tampa Bay Buccaneers: 1 7
• Tampa Bay Lightning: 12
• Tampa Bay Rays: 28
• Other: 6 One athletic team member is picked at random. What is the likelihood that this team member's favorite professional sports team is not located in Florida? A. certain B. likely, but not certain
C. unlikely, but not impossible
D. impossible
Answer:
B i believe
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1. WHAT IF? Each value in the dot plot for Candidate A increases by 30 seconds. How does this affect the answers in Example 1? Explain. You do not need to have all the data from two populations to make comparisons. You can use random samples to make comparisons.
Answer:
https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example
Step-by-step explanation:
Click there and it will tell you
I just need help with this question
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
The sum of a number and its negative self is always 0 .
Hope this helped and brainliest?
Answer: 0
Step-by-step explanation:
It asks for the sum of the points plotted. The given points are on 2, and -2.
The sum is the total you get when adding 2 or more numbers.
-2+2= 0
Hope this helps!
8.35 A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price. What is the total amount the shopper pays for the coat?
Answer:
Given:
A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price.To find:
The total amount the shopper pays for the coat.The formula used to calculate percentage is:(value/total value)*100%.
Step-by-step explanation:
Step 1 of 2
After the 20% sale, the coat costs
100*0.8 = 80 dollars.
Then 5 dollars are taken off for a cost of
80-5 = 75
Step 2 of 2
Now adding on the sales tax,
the final amount is 75(0.8) = 81 dollars
|-14| simplified
help!!
3/4x+0.25(x-6)+28.4
I can't figure it out
[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]
Use the distributive property to multiply 0.25 by x−6.
[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]
combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.
[tex]\boldsymbol{x-1.5+28.4}[/tex]
Add −1.5 and 28.4 to get 26.9.
[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]
{ Pisces04 }4. IN YOUR OWN WORDS How can you order numbers that are written as fractions, decimals, and percents? Give an example with your answer.
Answer:
Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this 5/2 .45 27.5%
make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45 27.5% into a decimal will be will be 0.275
boom order it 2.5, 0.45, 0.275
Please help!!! I’m not sure how to do this at all. Can someone please help me solve this with an explanation step by step? I’m having so much trouble my brain is literally gonna explode.
Answer:
Step-by-step explanation:
The question asks you to dilate the rectangle by a scale factor of 1/3.
KEY TERM:
Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.
Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.
___
STEP 1: LINE UP ALL THE COORDINATE PAIRS
Point U: (-6,6)
Point R: (-6,-3)
Point T: (9,6)
Point S: (9,-3)
Now the easy part is done.
STEP 2: MULTIPLY BY 1/3
It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.
I'll explain for point u then do the rest:
Point U was originally: -6,6.
-6 x 1/3= -6/3= -2.
6x1/3= 6/3= 2
The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.
Point R was originally: (-6,-3)
-6x1/3= -2
-3x1/3= -3/3= -1
The "dilated" point R is (-2,-1)
Point T was originally: (9,6)
9x1/3= 3
6x1/3= 2
The "dilated" point T is (3,2).
Point S was originally (9,-3).
9x1/3= 3
-3x1/3= -1
The "dilated' point S is (3,-1)
Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.
STEP 3: GRAPH THE NEW POINTS
see the screenshot, for reference :)
Answer:
Step-by-step explanation:
you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.
PLEASE HELP: On the assembly line, Max can process 15 engines in 40 mins. How many engines can he process in 2 hours?
Answer:
He can process 45 engines in 2 hours.
Step-by-step explanation:
2 hours = 120 minutes
You can multiply 3 to 40 because 40x 3 = 120, but you have to do the same to 15, so 15 x 3 = 45.
Or you can divide the engines (15) by minutes (40) to find out how many engines can be processed per minute.
15/40 = 0.375 an engine per minute.
Then multiply that by 120, which is two hours in minutes.
0.375 x 120 = 45
Please Help!
Colour key:
Yellow: Questions I have answered
Green: Information needed to answer questions
Blue: Questions I need help with
Please, feel free to correct me, Im not good at Surface Area
Answer:
2. It will be a 7 3/4in x 12 1/4in rectangle
4. 31,987 in^2
6. 30 547/640 in^3
Step-by-step explanation:
2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).
4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2
6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.
Answer:
2. It will be a 7 3/4in x 12 1/4in rectangle
4. 31,987 in^2
6. 30 547/640 in^3
Step-by-step explanation:
2. This is a cross-section. In order to get the cross-section, you take your shape. (a 7 3/4 x 12 1/4 x 3 3/4 rectangle) and essentially you remove the last dimension (Height).
4. Take your surface area value (319 35/64) and multiply it by 100 (10 per dimension length and width). This leaves you with 319.87x100 = 31,987 in^2
6. (308 35/64)/10. Pretty easy, take 308.546875, divide by 10, and you get 30.8546875, which is 30 547/640 in^3 in fractions.
helpp asap!! pls walk me thru as well!! <333
Hello!
The length and width are given.
We know the formula for calculating perimeter :
[tex]\fbox {Perimeter = 2(Length + Width)}[/tex]
Let's solve!
Perimeter = 2(123 + 17k + 24k - 49)Perimeter = 2(41k + 74)[tex]\fbox {Perimeter = 82k + 148}[/tex]∴ The perimeter is 82k + 148.
Help me pleaaseee!!!!!!! I'll give you brainliest if theres another answer on this.
Answer:
Please see attached image
Step-by-step explanation:
Circle the correct option: A, B, C, or D.
5. A box containing 30 identical books has a mass of 8.6 kg. The same box containing 50 of these books has a mass of 13.1 kg. What is the mass of each book?
A 0.225 kg
B 2.25 kg
C 4.5 kg
D 0.025 kg
Answer:
Option AStep-by-step explanation:
So we have: 30 books having a mass of 8.6kg50 books having a mass of 13.1kgSubtract 30 from 50 (50 - 30) = 20Subtract 8.6 From 13.1 (13.1 -8.5) = 4.5To find the mass of each book, we divide the mass by how many books we have left after subtraction.4.5/20 = 0.225 kgHope this helps.Good luck ✅.
Joe gained 5 pounds. John gained 14 pounds. Jordan lost 20 pounds. Josh lost 11 pounds. Who had the biggest change in weight? A. Jordan B. Joe C. John D. Josh
Answer:I think Jordan is this a trick question
Step-by-step explanation:
find the degree of 3m^2·n^4
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example: [tex]xy^3 + x^2y^3[/tex]. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided [tex]3m^2-n^4[/tex], which you can think of as: [tex]3m^2n^0 * n^4m^0[/tex]. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4
Answer:
4
Step-by-step explanation:
Here the exponent of n is 4, which is greater than the exponent of m, which is 2. Thus, the degree of this expression is 4.
Maribeth has 131 ounces of sandwich meat. How many sandwiches can she make if she puts 2.5 ounces of meat on each sandwich? She can make _____ sandwiches.
Answer:
52
Step-by-step explanation:
131 ounces/2.5 ounces=52.4
=52 sandwich
3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?
Answer: 77/3 or 25 2/3
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
3 1/2 = 3*2+1/2 = 7/2
2 2/3 = 2*3+2/3 = 8/3
1 1/2 = 1*2+1 = 3/2
2. Calculate within parentheses
Multiply and divide from left to right
Add and subtract from left to right
Answer:
- 53 2/3
Step-by-step explanation:
3 1/2 + (-7) x (2 2/3 + 1 1/2)
= 7/2 - 7 (8/3 + 11/2)
= 7/2 -7 (49/6)
= 7/2 - 343/6
= - 161/3
= - 53 2/3
On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters?
Answer:
0.2 centimeters
Step-by-step explanation:
Strategy 1:
Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters
First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.
Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm
Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so 2/10=0.2 cm
Answer:
0.2
Step-by-step explanation:
2 = 50
x = 5
50/5 = 10
do the same on the other side
so 2/10 = 0.2
Please help me answer the 3 questions below for me, tysm!
20. Find the total for the frequency table.
21. Find the relative frequency table value for "Business."
22. What should the total value always be for a relative frequency table?
Answer:
Step-by-step explanation:
24.8 to 13.4 as a fraction in lowest terms
Answer:
124/67Step-by-step explanation:
24.8 to 13.4 as a fraction in lowest terms
we transform into integers
24.8 * 10 = 248
13.4 * 10 = 134
we form the fraction
248/134
It is simplified by the greatest common divisor of 248 and 134, i.e. with 2.
124/67
A box measures 1/2 ft. long 1/2 ft. wide, and 1 ft. high. Find the volume in
inches. Do not include units in your answer.
Answer:
1/4
Step-by-step explanation:
V = LWH
V = (1/2 ft)(1/2 ft)(1 ft)
V = 1/4 ft³
Answer:
432 in³
Explanation:
Given measurements:
L = 1/2 ftW = 1/2 ftH = 1 ftTo convert feet to inches, multiply by 12
L = 1/2 × 12 = 6 inchW = 1/2 × 12 = 6 inchH = 1 × 12 = 12 inchVolume of rectangular prism:
⇒ L × W × H
⇒ 6 × 6 × 12
⇒ 432 in³
Circle the correct option: A, B, C, or D.
5. A chemist mixes 25 ml of dye with 1.5 L of water to make a test solution. How many liters of the test solution are there in 98 such bottles? Round your answer to the nearest whole number.
A 140.5 L
B 145 L
C 149 L
D 154 L
Answer:
149 liters of test solution (C)
Step-by-step explanation:
We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.
help 30 points added
Write the percent as a decimal. 10. 57.4%
PLEASE ANSWER THIS: Andrea had $20. She bought 4 paper pads at $1.19 each, 3 notebooks at $1.89 each, and also a book at $4.95. Now she wants to use the remaining money to buy as many 79-cent pens as possible. How many pens could she buy?
Answer:
5 pens
Step-by-step explanation:
Currently she has spent:
4(1.19) + 3(1.89) + 4.95 = 15.38
She has this amount left:
$20 - 15.38 = 4.62
So if she wanted to buy as many pens with the $4.62:
4.62/0.78 = 5.84
But you can't buy .84 of a pen, so she can buy 5 pens
Answer: 5 pens
Step-by-step explanation:
FACTS:
andrea has $20.
She bought:
4 paper pads for $1.19 each
3 notebooks for $1.89 each
1 book for $4.95
Will use the remaining money to buy pens that cost 79 cents ($0.79) each.
How many pens can she buy?
Step 1: Find how much she spent on the paper pads
1.19x4= 4.76
Ans= $4.76
Step 2: Find how much she spent on notebooks
3x1.89=$5.67
Ans= $5.67
Step 3: Find how much she has spent so far.
4.76 + 5.67 +4.95= $15.38
Step 4; Find how much she has left.
20-15.38= 4.62
Step 5: Find the number of pens she can buy.
She has $4.62 to buy pens that cost $0.79 (79 cents) each. how many pens can she buy?
To solve this, divide 4.62÷0.79. the decimal makes no difference in what operation you do.
4.62÷0.79= 5.84810126582 which rounds to 5.8 which rounds to 6.
Step 6: Check
REMEMBER:
pens cost $0.79 each
we're assuming she got 6 pens
in order for 6 to be correct, 6x0.79 MUST equal 4.62 or less because that's how money she had to spend on pens.
0.79x6= 4.74. It's wrong. In this case, it's always the number that comes before it, in this case 5.
Even though 5x0.79= 3.95 which is less than 4.62, it must be correct because it makes so much more sense to have some money left than spend more than what you even have. In questions like this, don't always rely on rounding.
Answer= 5 pens
find the value of x and y in a triangle
Answer:
a) 49 degrees b) 56 degrees
Step-by-step explanation:
a) Vertical angles are lines that intersect each other that always form the same angles on "opposite" sides. Angle x and the 49 degrees are vertical angles, which means that x also has to be 49 degrees.
- - -
b) We know that any triangles' three internal angles combined equal 180 degrees.
Since we already know two out of three angles in the triangle (63 and 49) we can find the last unknown angle: 180 - (63 + 49) = 68. The unknown angle in the triangle is 68 degrees.
We also know that all straight lines are 180 degrees. The line that angle y rests on is 180 degrees. So we can subtract the 68 degrees from 180 degrees to find that y = (180 - 68) / 2, because angle y is the same on the other side of the 68 degrees.
So:
y = (180 - 68) / 2
y = 112 / 2
y = 56
Angle y is 56 degrees.
Apologies if my explanation is confusing.
Answer:
a) x = 49° C
b) y = 48° C
Step-by-step explanation:
a) x is 49° C because we know that opposite angles are the same which means that x is opposite to 49° C which makes it also 49° C.
b) y is 48° C because angles in a Triangle always add up to 180° C which means that 180 - 83 - 49 = 48 which makes the answer 48° C.
Write the percent as a decimal.
13. 47.63%
Answer:
0.4763
Step-by-step explanation:
in order to write percents as decimals, you always move the decimal to places to the left.
17. Nils swam a total of 6.48 km in three days. He swam 0.720 km longer on Day 2 than on Day 1. The distance he swam on Day 3 was 3 times the distance he swam on Day 2. How many kilometers did he swim on Day 3?
Answer:
21.6 km
Step-by-step explanation:
distance swam on day 2: 6.48+0.720 = 7.2 km
distance swam on day 3: 7.2*3 = 21.6 km
help help help, please
I'm having problems with these 3 questions now
I really need your help! Tysm!!
Answer:
36. m^7
37. x^3 y
38. 6v^5
Step-by-step explanation:
Divide the exponents by the number in the radical sign,
so, If no number is given then divide exponents by 2 eg. question 38
Explanation36. 7√m^49 means m^(49/7) = m^7
37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y
38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)
PLEASE ANYONE: The percent of change when a new value is larger than the original value is called a percent of _________?
A. Change
B. Decrease
C. Increase
D. Interest
Answer:
C. Increase
Step-by-step explanation:
Since the new value is larger than the original value, there was an increase in the number, so it is called percent of increase.
Answer:
IncreaseStep-by-step explanation:
Let's say that 50% of people liked ice cream in 2020. In 2022, 65% of people liked ice cream. There is an increase of people liking ice cream. So, it is called a percent increase.
Remember...
A) A percent change can be either an increase OR a decrease.
B) A decrease can only LOWER the percentage
So, it has to be C.