Mathematics College

given the circumference of circle b is 85 ft . what is the arc lenght of arc ADC?and the lenght of arc Ac​

Given The Circumference Of Circle B Is 85 Ft . What Is The Arc Lenght Of Arc ADC?and The Lenght Of Arc

Answers

Answer 1

Answer:

Length of arc AC = 10.6 ft

Length of arc ADC = 73.4 ft

Step-by-step explanation:

θ = 45°

Circumference = 85 ft

✔️First, find the radius:

Circumference of a circle = 2πr

Thus:

85 = 2πr

Solve for r

Use 3.14 as π

Divide both sides by 2π

85/2π = r

85/2*3.14 = r

85/6.28 = r

r = 13.5350318 ≈ 13.5 ft (nearest tenth)

✔️Find length of arc ADC:

Length of arc = θ/360 × Circumference of the circle

θ = 360 - 45° = 315°

Circumference = 85 ft

Plug in the values

Length of arc ADC = 315/360 × 85

= 74.375 ≈ 73.4 ft (nearest tenth)

✔️Find length of arc AD:

Length of arc = θ/360 × Circumference of the circle

θ = 45°

Circumference = 85 ft

Plug in the values

Length of arc AC = 45/360 × 85

= 10.625 ≈ 10.6 ft (nearest tenth)

Related Questions

holt mcdougal chapter 7 online answer key

Answers

Answer:

saan po yung pic hindi kopo maindihan

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: 2

Hope this helped! :)

At the beginning of spring, Gabriella planted a small sunflower in her backyard.
When it was first planted, the sunflower was 20 inches tall. The sunflower then began
to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 4
weeks? How tall would the sunflower be after w weeks?
Height after 4 weeks:
24
Height after w weeks:
I
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1

Answers

Answer:

The sunflower be  40 inches tall after 4 weeks.

Total height of sunflower in w weeks = 20+1.5 w,

Step-by-step explanation:

Given:  In the beginning, the sunflower was 20 inches tall.

The sunflower then began to grow at a rate of 1.5 inches per week.

Then, total height of sunflower in 4 weeks = 10+1.5 ×10, where 1.5 ×10= growth in 4 weeks

= 20+20 = 40 inches

So, the sunflower be  40 inches tall after 4 weeks.

plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.


(A) c = m + 3; 18 years old

(B) c = m − 3; 12 years old

(C) m = c + 3; 12 years old

(D) m = c − 3; 18 years old

Answers

Answer:

A

Step-by-step explanation:

Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age

A friend tells you about a recent study dealing with the number of years of teaching experience among current college professors. He remembers the mean but can't recall whether the standard deviation was 6 months, 6 years or 16 years. Which was it?

Answers

Answer:

6 years

Step-by-step explanation:

Find the circumference of a circular dog pen that has a radius of 35 meters. Use 227 for π.

Answers

Answer:

220

Step-by-step explanation:

Circumference of a circle is=diameter times pi

70=diameter because diameter is twice the radius

(22/7)70 is your answer

who is the current vice president of the us? is this a statistical question or a non statistical question why or why not? Explain your answer

Answers

Answer:

The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.

Step-by-step explanation:

A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.

Answer: statistical question

Step-by-step explanation:

cause your asking the current vice president.

Estimate the sum by rounding the numbers to the nearest hundred and then adding: 539 + 221

Answers

Answer:

700

Step-by-step explanation:

539 rounded to 500

221 rounded to 200

500 plus 200 is 700

Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s

Answers

The answer is A. 21.14 m/s

A and C are separated by 21.14 miles. The right answer is A.

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.

Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.

The following formula will be used to determine how far A is from C:

2×15×10×cos(180-66)=15²+10²-AC²

-300 cos 66=225+100-AC²

AC=√(325+300 cos 66)

AC = 21.17 m/s

As a result, A and C are separated by 21.14 miles. The right

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what is the area of the trapozoid?

Answers

Answer:

8units²

Step-by-step explanation:

area of trapezoid=½(a+b)*h

a=2

b=6

h=2

area of trapezoid=½(2+6)*2

area of trapezoid=½(8)*2

area of trapezoid=4*2

=8units²

What is the range for the set of data?

A. 4
B. 6
C. 3.5
D. 0


I don’t want a link, so if you were gonna send one, ignore this instead

Answers

the range for the set of data is 6

Wat is a mixed number or whole number: 11/3

Answers

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots

Answers

Answer:

zeros

roots

Step-by-step explanation:

Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).

Answers

Lines are parallel
(Use desmos calculator for these problems)

The segments shown below could form a triangle. True B. False​

Answers

True

It won’t be a Prefect Triangle but it still is one
(sorry my drawing is bad)

Hank and lynn are paying off car loans.
·Hank paid $2,000 up front when he bought his car,and he pays 200$ each month.
·Lynn did not pay any money up front when she bought her car, and she pays 275$ each month.
Is the relationship between the number of months an the total amount paid proportional for both hanks and lynns loans?
A graph that shows the number of months and the total amount paid by hank would
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next
A graph that shows the number of months and the total amount paid by lynn would.
A: Not be a straight line
B: be a straight line that does not pass through the origin
C: Be a straight line that passes through that origin
Next

the relationship between the number of months and the total amount paid is proportional for
A: lynns loans only
B: neither loans
C: both loans
D: Hanks loan only

Answers

Answer:

1.B 2.C 3.C

Step-by-step explanation:

Answer:

BCC

Step-by-step explanation:

Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.

Write and solve an equation which can be used to determine xx, how much each bag of apples costs.

Answers

Answer:

$4.02

Step-by-step explanation:

Subtract $5.14 from $25.24.

$25.24-$5.14=20.10

Divide 5 and $20.10

20.10/5= 4.02

so each bag of apples costs $4.02

Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!

Answers

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

2^2+6^2=x^2

4+36=x^2

40=x^2

[tex]\sqrt{40}=x[/tex]

[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]

Hope that helps :)

Answer:

sqrt(40) or approx. 6.324555

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

6 is a, 2 is b, and x is c, or the hypotenuse.

Plug in the values

6^2 + 2^2 = x^2

Simplify

36 + 4 = x^2

40 = x^2

Square root both sides

sqrt(40) = x

What is 53.237 written in expanded form?

Answers

53.237 in expanded form is:
50 + 3 + 0.2 + 0.03 + 0.007

Kammys mom gave her $85 to go shopping if she spent $118 how much of her own money did curry use

Answers

118-85=33
Curry used $33 of her own money

in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?​

Answers

solution

this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.

Is this right, someone saying answer =49

Help quickly pleaseee

Answers

Answer:

I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time

Please help with this

Answers

it's the first answer choice

Step-by-step explanation:

If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.

What is 37/40 in simplest form

Answers

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

The following data points represent the number of guests at Hunter’s Ribeye BBQ House each day since they opened.

96, 279, 255, 254, 75, 211, 271, 291, 102

Display the data in a histogram.

Answers

Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6              I said "get help" on khan academy

The histogram for the given data is displayed below.

What is histogram?

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.

Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.

From the graph, with intervals 0-74 there are 0 observations

75-149 there are 3 observations

150-224 there is 1 observation

225-299 there are 5 observations

Therefore, the histogram for the given data is displayed below.

Learn more about the histogram here:

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Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

Biased or Random?

Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.

Answers

The correct answer is random because he’s asking the first 80 7th grade students that enter the school instead of picking select students such as his friends

Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)

Answers

Answer:

9 km/h or 48 km/h

Step-by-step explanation:

Let the distance is d, speed is s

As per given we have:

d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4

Substitute d with 5s and solve for s:

36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48  km/h

The original speed of grey wolf can be 9 km/h or 48 km/h

A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.

Answers

Answer:

10 1/12 cups

Step-by-step explanation:

Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.

Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.

Final equation: 5 3/4+2 4/12= 10 1/12 cups

Hope this helps!!

Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean

Answers

You can draw it out
Make a right triangle from the square

Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24

Solution: the width is 24 inches
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