TRUE or FALSE
If an angle has a measure of 1 radian, then the arc intercepted by that angle has an arc length equal to the radius of the circle.
Answers
Answer: True
Step-by-step explanation: the angle subtends, s, divided by the radius of the circle, r. One radian is the central angle that subtends an arc length of one radius (s = r). Since all circles are similar, one radian is the same value for all circles.
The given statement is correct. If an angle has a measure of one radian, the arc intercepted by that angle has an arc length equal to the radius of the circle.
What is meant by radian and radius?Simply put, a Radian is a unit of measurement for angles that is based on the radius of a circle. This means that if we imagine wrapping the length of the radius around a circle, the angle formed at the center of the circle by this arc is equal to 1 Radian. Radians, like degrees, are a type of angle measurement. One radian is equal to the angle formed when the radius of the circle is equal to the arc opposite the angle. So, in the diagram above, the angle is one radian because the arc AB is the same length as the radius of the circle.Therefore,
Because the Latin word for length is spatium, arc lengths are denoted by s.
Length of an Arc = θ × r,
Where θ exists in radian.
Length of an Arc = θ × (π/180) × r,
Where θ exists in degree
To learn more about Arc length, refer to:
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Related Questions
For the representation, describe a possible sequence of transformations.
(x, y) arrow-right (−x − 4, y + 3)
Complete the description.
The representation is a translation
__ unit(s) right and
__ unit(s) up and a reflection across the
x/y (select)
-axis.
Answers
Answer:
1
5
Step-by-step explanation:
Claire earns $8.50 per hour babysitting plus a $15 travel fee. Brooklyn earns $9.50 per hour walking dogs plus a $5 supply fee. How many hours do they have to work to earn the same amount of money?
Answers
Answer:
I believe Claire makes $24.50 and Brooklyn makes $14.50, so if you wanted to make Brooklyn walk an extra hour, she would have 24.00 adding the supply fee which is $5 which would make it $29.00.
Now i am going to try to actually solve it
8.50x15=127.5
9.50x5=47.5
9.50x13=123.5
this is so wrong i am so sorry, i just hope this helps you understand your question a bit more!
Step-by-step explanation:
Answer these correctly pls
Answers
Answer:
1. -3x² × 3x × 2x³ × x⁵
= (-3×3×2) x^2+1+3+5
= -18x¹¹
2. [3×(-1)×(-1)] n^2+2+3
= 3n⁷
3.[-0.5×2×(-1)] x^3+5+1
= x⁹
4.[-2×(-1)×(-1)] s^2+3+4
= -2s⁹
5.[-6×1×(-1)] v^8+5+1
= 6v¹⁴
6.[1/2×(-1)×6] p^2+3+1
= -3p⁶
7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1
= 8b¹⁰
What fraction of 8 is 2 1 /2 ?
Select all that apply.
Practice
A
2 1/ 2 ÷ 8
B
5 /2 × 1/ 8
C
8 ÷ 2 1 /2
D
? × 8 = 2 1/ 2
Answers
PLZ ANSWER!!!!!!!!!!! WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!
Answers
Answer:
7. 10x = y
8. 140
60
9. 10
17.5
10. ? (I'm sorry but I don't understand this one)
11. ? (I'm sorry but I don't understand this one)
12. month/value
0/0
1/10
2/20
3/30
4/40
Step-by-step explanation:
7. 10x = y
8. 140
60
9. 10x/10 = 100/10
10 = x (months)
10x/10 = 175/10
17.5 = x (months)
10. ?
11. ?
12. month/value
0/0
1/10
2/20
3/30
4/40
8.140
that’s all i know, sorry!
57.8 ÷ 81 (63 points and too lazy to solve the questions but help!)
Answers
0.71358024691
If you are rounding then the answer would be 0.71
Answer:
0.71358024691
Step-by-step explanation:
a calculator
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
tan theta = 28/47 give your answer in 1 dp
Answers
theta = tan^-1(28/47) â 32.7 degrees
Therefore, the answer is 32.7 degrees (1 dp).
The value of theta in tanФ = 28/47 is 30.75° .
Given,
tanФ = 28/47
Here,
tanФ in right angled triangle measured by,
tanФ = P/B
P = perpendicular
B = base
Here,
tanФ = 28/47
Take inverse of tan to obtain the value of Ф .
Ф = \(tan^{-1}\) (28/47)
Ф = 30.75° .
Know more about trigonometric function,
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plz help me with the attachment
Answers
Answer:
Step-by-step explanation:
With respect to angle Ф in the right triangle shown:
the opposite side is the leg LP, and
the adjacent side is the leg LM, and
the hypotenuse is MP.
The "perpendicular" is the leg LP, in which case the "base" is LM. Notice that these two legs are perpendicular to one another.
HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answers
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
\((x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\\)
885 = 3.14 ×r² × 11.7
what is r ?
Answers
Answer:
4.89897948557
if you rounded it, it would be 4.90, or 4.9
Step-by-step explanation:
First, I solved 3.14 x 11.7. This gave me 36.738.
Next, I did 885 divided by 36.738. This gave me a long list of numbers, but the whole was 24. (24.0894986117916…)
I rounded that number to 24.
Now, I found the square root of 24. Square root is basically a number that is multiplied by itself to get a number. For example, the square root of 9 is 3, because three times three is nine.
Anyways, the square root of 24 came out to be 4.89897948557. So, I rounded and got 4.9.
Hope this helped you! Sorry if I’m wrong, I tried my best to answer it correctly, I’m in middle school too… so I could be wrong!!
Answer:
r=4.89897948557
Step-by-step explanation:
A recipe calls for 2/3 cups of raisins for 8 servings. How many cups of raisins are needed to make 60 servings?
Answers
Answer: 5 cups of raisins
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
1. 2/3 for 8
2. x for 60
3. 60x2/3=40
4. 40/8=5
5. 5 cups of raisins are needed for 60 servings.
PLEASE HELP FAST, I CANT GET IT WRONG
Answers
Answer: I think it is 12 divided by 7
88. Referring to the figure, Mrs. Hawkins took four slips of paper
and wrote a different student's name on each. Two of the names were
boys and two girls. She put the four slips of paper in a bag and said
she is going to draw two slips out. She then drew the tree diagram
to show the different outcomes that are possible. "B" represents a
boy's name and "G" represents a girl's name. What is the theoretical
probability that the teacher draws two names that are the same sex?
a. 1/6 c. 1/3
b. 2/3 d. 1/12
Answers
Answer:
a. 1/6
Step-by-step explanation:
I just counted the 12 outcomes and the 2 same sex possibilities, which would turn to 2/12, and then simplified it into 1/6. I hope this is right, I am very sorry if it isn't.
ANSWER FAST YO
An English test has 20 questions. A student answers 75% correctly.
How many questions does the student answer correctly?
Enter your answer in the box.
_____ questions
Answers
Answer:
The student answers 15 answers correctly.
Answer:
15
Step-by-step explanation:
hope it helps
After work each day, Janette stops by the bank and makes a single transaction to her bank account. The list shows the five transactions Janette made this past week.
Day Transaction's Effect on
Account Balance
Monday +$100
Tuesday -$60
Wednesday -$20
Thursday +$50
Friday +$80
Select all of the days in which the transaction was a withdrawal from an account.
Monday
Tuesday
Wednesday
Thursday
Friday
Answers
can anyone help me and thank you
Answers
$30.15
Step-by-step explanation:Hi there !
discount 55% => Mohammad paid 45% regular price
$67 ........... 100%
$ x.................45%
x = 67×45/100
= 3015/100
= $30.15
Good luck !
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!
Answers
Answer:
1,3 and the last one
Step-by-step explanation:
Which linear function represents this table of values? I need an answer quickly.
y=6x−20
y=34x+1
y=43x−6
y=16x+8
Answers
Answer:
i think it is the last one
Step-by-step explanation:
Sam wants to predict who will be selected as the seventh-grade student council representative. Which of the following groups should Sam survey to make his prediction?
One hundred random students from the seventh grade
One hundred random students from the entire school
The first 100 students from an alphabetical list of seventh graders
The first 100 students from an alphabetical list of the entire school
Answers
Answer:
a
Step-by-step explanation:
Answer: A would be your best answer
Step-by-step explanation:
Find the perimeter.
32 in.
24 in.
36 in.
28 in.
Find the area.
48 in. 2
64 in. 2
84 in. 2
36 in. 2
The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard after the patio is done?
927 square ft.
456 square ft.
613 square ft.
314 square ft.
Answers
GIVING BRAINLIEST Katie and Mina both commute to work. Katie's commute on the train takes 10 minutes more than one half as many minutes as Mina's commute by car. It takes Katie 30 minutes to get to work. Write an equation to determine how many minutes it takes Mina to get to work. 30 = one halfx + 10 30 = one halfx − 10 30 = 2x − 10 30 = 2x + 10
Answers
Answer:
Simplifying
2x + -10 = 10 + -3x
Reorder the terms:
-10 + 2x = 10 + -3x
Solving
-10 + 2x = 10 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Simplifying
x = 4
dose this help?
Answer:
30 1/2x +10
Step-by-step explanation:
Option A
I had this same question on a quiz and I got it right.
BRAINLIEST PLEASE!!!
Decide which measurement is greater. Place the correct symbol ( <, >, =) on the line between the measurements.
5 gallons _______ 18 quarts
1 pint 4 cups _____ 32 fl oz
3 pints ______ 8 cups
13 quarts _______ 4 gallons
4 quarts _______ 9 pints
Answers
The measurements that are greater using the correct symbol <, >, =) are:
5 gallons > 18 quarts1 pint 4 cups > 32 fl oz3 pints < 8 cups13 quarts < 4 gallons4 quarts < 9 pintsHow to determine the greater measurement?Gallons and quarts
1 gallon = 4 quarts.
So, we have:
5 gallons = 20 quarts i.e. 5 * 4
Hence,
5 gallons > 18 quarts
Pints and cups to fl oz
1 cup = 0.5 pints.
So, we have:
1 pint 4 cups = 1 pint + 2 pints
1 pint 4 cups = 3 pints
1 pint = 16 fl oz.
So, we have:
1 pint 4 cups = 16 * 3 fl oz
1 pint 4 cups = 48 fl oz
Hence,
1 pint 4 cups > 32 fl oz
Pints and cup
1 cup = 0.5 pints.
So, we have:
8 cups = 4 pints
Hence,
3 pints < 8 cups
Quarts and gallon
1 gallon = 4 quarts.
So, we have:
4 gallons = 16 quarts
Hence,
13 quarts < 4 gallons
Quarts and pints
1 quart = 2 pints.
So, we have:
4 quarts = 8 pints
Hence,
4 quarts < 9 pints
Read more about metric units at:
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What is the result of the subtraction problem that is represented on the number line?
Answers
Blue line= 2.5
So I’m not sure what it is asking- 3-2.5 or 2.5-3
So the answer is either 0.5 or -0.5
Hope this helps :) was not really sure because it is worded really weird
Please Answer below!!!
Answers
Answer:
C
Step-by-step explanation:
Which sentence is true?
A. - 3 > - 7
B. - 2 < -9
C. 4 < -1
D. - 5 > 0
Answers
Answer:
A
Step-by-step explanation:
I believe A. is true for the question
show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.
Answers
An isosceles triangle has 2 sides that are equal.
I plotted these points. See attached screenshot.
The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.
The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.
These two sides make a right triangle and are equal length. This is an isosceles right triangle.
Please answer the bottom question please (the cylinder question)! The first one has been answered already.
Answers
Answer:7,065
Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Norma has a credit card that uses the adjusted balance method. For the first
10 days of one of her 30-day billing cycles, her balance was $1850. She then
made a purchase for $160, so her balance jumped to $2010, and it remained
that amount for the next 10 days. Norma then made a payment of $930, so
her balance for the last 10 days of the billing cycle was $1080. If her credit
card's APR is 29%, which of these expressions could be used to calculate the
amount Norma was charged in interest for the billing cycle?
Answers
The solution is : The amount Pearl was charged in interest for billing cycle = $19.8
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
here, we have,
Starting balance of Pearl for first 10 days of her 30 days billing cycle =$1120
Purchase made = $ 340
Total Balance after purchase made = $1120 + $340
= $1460
Payment made after 10 days = $580
Balance for last 10 days = $1460 - $580
= $880
Credit Card APR = 27% Annually
Credit Card APR = 2.25% monthly.
Amount charged as an interest for billing cycle = 880 × 2.25%
= 880 × 0.0225
= $19.8
Hence, The amount Pearl was charged in interest for billing cycle = $19.8
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complete question:
Pearl has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her balance was $1120. She then made a purchase for $340, so her balance jumped to $1460, and it remained that amount for the next 10 days. Pearl then made a payment of $580, so her balance for the last 10 days of the billing cycle was $880. If her credit card's APR is 27%, which of these expressions could be used to calculate the amount Pearl was charged in interest for the billing cycle?