If the arc measure is 90 degrees and the diameter of the circle is 10, what is the arc length?

Answers

Answer 1

Answer:

2.5π

Step-by-step explanation:

First, let's find the circumference of the circle. The circumference is equal to dπ, or the diameter times π.

Knowing the diameter is 10, we can easily find that the circumference is 10π.

10π is the entire circumference, but we only need 90° of the circle. If the whole circle is 360°, then that means the portion we need is 90°/360°, which is 1/4.

1/4 times 10π is equal to 2.5π.

2.5π is the arc length.


Related Questions

What is the value of b and the value of c? Picture of triangle down below.
b=
c=

Answers

Answer:

b = 73

c = 34

Step-by-step explanation:

<T and <R are equal because they are opposite equal sides.

So b = 73°

Every triangle has 180 degrees

b + c + 73 = 180

73 + c + 73 = 180

146 + c = 180

c = 180 - 146

c = 34

Alberto is considering taking a job with a company where the sequence {$50,000; $50,700; $51,400; $52,100; $52,800} represents the salary schedule for the first five years of employment. If the pattern continues, what can Alberto expect to earn in his sixth year of employment?

Answers

Answer:

$53,500 is the answer.

Step-by-step explanation:

The question is an Arithmetic Progression of common difference (d) = 700

a₁ = $50,000

a₂ = $50,700

d = $700

sixth year can be written as,

a₆ = a + 5d

a₆ = 50,000 + 5 × 700

a₆ = 50,000 + 3,500

a₆ = 53,500

therefore, Alberto will earn $53,500 in his sixth year of employment.

His salery grows by 700 per year, as you can see. This can be represented as [tex]700x+50000[/tex], where 50,000 represents the starting wage, 700 represents the annual increase, and [tex]x[/tex] represents the year (starting from 0). So, if you want to know his wage in his sixth year of employment, simply substitute 5 for [tex]x[/tex]. Note that [tex]x[/tex] is the number of years minus one. As a result, the answer is [tex]700(5)+50000=53500[/tex].

GIVING BRAINLIEST FOR CORRECT ANSWER<3

Answers

Answer: 75 percent

Step-by-step explanation: I'm pretty sure

What is the approximate area, in square units, or circle C

A: 113

B: 452

C: 38

D:19

Answers

See picture hope it helps

1 point An amusement park charges $45 to enter and $0.55 per ride ticket. Write an expression to represent the total amount spent by a guest.

A.45-0.55r
B.45+0.55r
C. 0.55 + 45
D.45/0.55r​

Answers

I belive it’s A.45-0.55r 1 point an

What translations occur to the graph of g(x) = 4x to produce the graph of h(x) = g(x + 2) - 4
A. left 2 units, down 4 units
B. right 2 units, down 4 units
C. left 4 units, up 2 units
D. right 4 units, up 2 units​

Answers

Answer:

b

Step-by-step explanation:

its hard to explane but if i know my math thats right

5 in
Area
6 in
7 in
10 in
15 in
HELP I NEED TO FIND AREA

Answers

Answer:

84in

Step-by-step explanation:

10 times 5 = 50 (top half)

7 times 4 = 28 (bottom half)

3 times 4 = 12 / 2= 6 (triagle)

HELP ASAP ASAP EXTRA POINTS

Answers

Answer:

The slope is -2

Step-by-step explanation:

it’s -2 hope that helps

When your classmates began their hike, they
had captured 9 animals to take home as pets. By
the end of the hike, they had captured 27.
What is the percent increase in the number of
animals captured?
Type your answer into the box to continue and release animals

Answers

Answer:

% increase = 200%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help, it would be much appreciated.A certain state uses the following progressive
tax rate for calculating individual income tax:

Answers

Answer:

$3,300

Step-by-step explanation:

$60,000 falls into the $50,001 - $100,000 range, so 5.5% is owed on it.

5.5% → 0.055

60,000 * 0.055 = $3,300

help pls lollll
10th grade mathematics

Answers

Answer:

I think it's a because

12÷42= 3.5

and

56÷16=3.5

so

10×3.5=35

Step-by-step explanation:

Grehyesjeyehevshsh. *Cries in no knowledge*

Answers

Answer:

GIRL ITS M!!!!!!

Step-by-step explanation:

its the furthest to the right on the number line

Chen has $500 saved for a new TV. There is one on sale for $700. He can wait and save more money, or he can finance his purchase and make payments for two years. The payments add up to $850. Should he buy the TV on sale now?

Answers

Answer:

Yes, Chen should by the TV on sale. This is because in the end, he will have saved $150. Hope this helps you.

What is this number in expanded form?

130,987


100,000 + 30,000 + 900 + 80 + 7

100,000 + 3,000 + 900 + 80 + 7

10,000 + 3,000 + 900 + 80 + 7

10,000 + 30,000 + 900 + 80 + 7

Answers

Answer:

100,000 + 30,000 + 900 + 80 + 7

(Brainliest please! :D)

Answer:

Your answer is option #1

100,000 + 30,000 + 900 + 80 + 7

What is your favorite sport? Sample is chosen from people attending
games

Answers

Answer:volleyball

Step-by-step explanation:

Answer:

My fav sport is badminton...

Step-by-step explanation:

Hope it's help u

If wrong then sry sry

The diameter of a circle is 14 inches. What is the area? Give the exact answer in simplest form

Answers

Answer:

153.94 or 154 if your teacher told you to round.

Step-by-step explanation:

Answer:

A = 49π

Step-by-step explanation:

A = πr² = π(7)²

= 49π ≈ 153.94

205% is what number of 164?

Answers

Answer:

336.2

Step-by-step explanation:

I hope this helps!

Answer:

336.2

Step-by-step explanation:

x/164 = 205/100

multipy 164 and 205

then divide by 100

Who loves math?
I kinda do I guess.

Answers

Answer:

yes

Step-by-step explanation:

in isosceles trapezoid EFGH, FG parallel EH, FG=10, GH=12, and ∠E=60. Find the area of EFGH.

Answers

Answer:

22√3 units squared

Step-by-step explanation:

1) Draw the trapezoid

2) Notice you have to find the height to find the area of the trapezoid

3) Notice it is a 30 60 90 triangle when you draw the line to find the height

4) Solve for the 30 60 90 triangle and you get the height to be 2√3

5) Solve for the area of the trapezoid using this formula A= 1/2 h ( b1 + b2)

6) Fill in the numbers for the equation A= 1/2∙ 2√3 ( 10 + 12)

7) Keep aside the 1/2 for now

8) Simplify equation 2√3 + 22 or 2√3 + (10 + 12)

9) Simplify further 44√3

10) Now bring back the 1/2 and put it in the equation 1/2∙ 44√3

11) Simplify to get 22√3

12) 22√3 is the area of the trapezoid

13) 22√3 units squared is the final answer

I will put a my drawing of the trapezoid for reference and this is what I used to solve the question.

If you want to know how I solved the 30 60 90 triangle please let me know.

Sorry I was one week late I just saw it today.

:D

What is the value of k?
L
k=
8.
m
O
4
k
N
1
M

Answers

Answer:

i think its 8

Step-by-step explanation:

The question says “the system below has been solved by graphing. How many solutions does it have?”

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

3x+y=1

15x+5y=5

Step: Solve3x+y=1 for y:

3x + y +−3 x = 1 + −3x (Add -3x to both sides)

y=−3x+1

Step: Substitute−3x+1 for y in 15x+5y=5:

15x+5y=5

15x+5(−3x+1)=5

5=5(Simplify both sides of the equation)

5+−5=5+−5(Add -5 to both sides)

0=0

so there are infinite solutions  

5.3.PS-10
WILL GIVE BRAINLIESR

Answers

I think the answer may be 54 adults and 12 children

Answer: the answer is 54 adults and 12 children

Step-by-step

Step-by-step explanation:

A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you save?

Answers

Answer:

12$

Step-by-step explanation:

hope this helps

Answer:

$12

Step-by-step explanation:

30%=.30

40*.30=12

eorge pays one-fifth of his salary in taxes. If his taxes amount to $217, what is his salary?

$3,255
$2,170
$1,085

Answers

$1,085. Just multiply by 5

What is the sales tax for a dress that costs 37.99 and a pair of shoes that cost 39.99. The sales tax is 8.25%.

Answers

Answer:

39.99+37.99

=77.98×8.5%

=6.63

Álgebra 1.
Calculate the slope

Answers

Answer:

slope: -1/4x

Step-by-step explanation:

i hope this helps :)

A student earned a grade of 80% on a math test. He answered 20 of the questions correctly. How many problems were on the test?

Answers

Answer: 25

Step-by-step explanation:

Given

The student earned 80% on a math test

The student answered 20 questions

Suppose x is the total no of questions

So, we can write

[tex]\Rightarrow \dfrac{20}{x}\times 100=80\%\\\Rightarrow \dfrac{20}{x}=0.8\\\\\Rightarrow \dfrac{20}{0.8}=x\\\\\Rightarrow x=25[/tex]

So, there are 25 questions in total

"A freely falling object experiences gravity. The value of gravity is 9.8 m/s2 or 980 cm/s2. The equation that describes the distance an object falls from rest under the influence of gravity is?"

Answers

Answer:

S =4.9t²

Step-by-step explanation:

Using the equation of motion

S =ut+1/2gt²

u is the initial speed = 0m/s

t is the time

g I the acceleration due to gravity = 9.8m/s²

S is the distance of the object

Substitute

S = 0(t)+1/2 (9.8)t²

S = 0+4.9t²

S = 4.9t²

Hence thee equation that describes the distance an object falls from rest under the influence of gravity is S = 4.9t²

Please help , will mark brainliest

Answers

Answer:

Should be 360

Step-by-step explanation:

392 in square
You break the figure into two.
Bigger prism, l=6, h=10, w=6
Smaller prism, l=6, h=4, w=4
There are 10 sides to this shape, one side from big figure and one side from small figure overlap.
Big figure
4(l•h)=4(6•10)=4•60=240
2(l•h)=2(6•6)=2•36=72
Small figure
2(l•h)=2(6•4)=2•24=48
2(l•h)=2(4•4)=2•16=32
Shape
240+72+48+32=392 in^2

cube root of, 125, end cube root, equals

Answers

Answer:

Definition – What is a cubed root? The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125.

Step-by-step explanation:

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