Assume the radius of a circle is
unit

What is the area of the circle? What is the circumference?

How many radii are needed to wrap completely around the circle? Express your answer as a decimal approximation and as an exact value.

Does the size of the circle matter? That is, does the number of radii needed to wrap completely around the circle change as the radius of the circle gets larger or smaller? Why does this make sense?

Exactly how many radians are in
? In

Answers

Answer 1

Answer:

Step-by-step explanation:

They want you to see how radius is important.  Just remember that one radian is one radius,  that should help  you see why radius is important.

They ask for the unit circle ,  that is a circle of one unit for the radius,  which makes it super easy to calculate things for it,  they ask what is the area, which is that famous formula, π[tex]r^{2}[/tex] ,  then they ask what's its circumference.  which is that other famous formula  2πr

so to go all the way around a circle of one unit radius,  it's  2π  exactly or about 6.28..... units,   call it meters, or feet or inches, it doesn't mater here.

the size of the circle doesn't matter here either,  b/c we are using the radius ,  that relaationship doesn't change ,  all circles,  what ever size , have this same relationship between the radius and radians.    :P  this is handy.  


Related Questions

Select the correct answer. What is the range of the function shown on the graph?​

Answers

Answer:

B

Step-by-step explanation:

The lower limit of the range of the function is -6, as it does the y-value does not decrease below that amountThe upper limit is not shown, hence we can assume it to be infinity (∞)

Range

Lower limit < y < Upper limit-6 < y < ∞

The best option is B


What is the difference between the 8th square number and the 4th square number?

Answers

Answer:

240

Step-by-step explanation:

The 8th square number is 2^8 = 256.

The 4th square number is 2^4 = 16.

Their difference is 256 - 16 = 240.

7x-9=803 solve for x and x only

Answers

Answer:

116

Step-by-step explanation:

7x-9=803

(add 9 to both sides)

7x=812

(divide by 7)

x=116

Complete the point-slope equation of the line through (3,6) and (5,-8)

Answers

Answer:

y = - 7x + 17

Step-by-step explanation:

Given, (3,6) and (5,-8)

Equation of a straight line is y = mx + c

Here, y = -8, x = 5 and m = ?

m = [tex]\frac{Change in Y}{Change in X}[/tex]

m = [tex]\frac{-8 - 6}{5 - 3}[/tex]

m = - 7

Substituting x, y and m in y = mx + c we get,

- 8 = - 7(5) + c

c = 35 - 8

c = 17

The equation is y = - 7x + 17 (Answer).

7) Mofor invests $3,101 in a savings account

with a fixed annual interest rate

compounded 2 times per year. After 6

years, the balance reaches $3. 932. 82.

What is the interest rate of the account?

Answers

Answer:

4%

Step-by-step explanation:

[tex]A = P(1+r/n)^{nt}[/tex]

A = final amount

P = initial amount

r = interest rate per time period

n = number of times compounded per time period

t = number of time period

A = 3932.82

r = what we want to find

n = 2

t = 6

[tex]A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}[/tex]

divide both sides by 3101 to isolate the exponent and its parts

[tex]3932.82/3101 = (1+r/2)^{12}[/tex]

put both sides to the power of (1/12) to help isolate the variable

[tex](3932.82/3101)^{1/12}= (1+r/2)[/tex]

subtract 1 from both sides to isolate the variable and its coefficient

[tex](3932.82/3101)^{1/12}-1= (r/2)[/tex]

multiply both sides by 2 to get r

[tex]((3932.82/3101)^{1/12}-1) * 2= r[/tex]

r ≈ 0.04 = 4%

I NEED THAT ANSWER ASAP

Answers

Answer:

y=-4x-7

Step-by-step explanation:

remember the equation y=mx+b, where the slope is the m along with the x because it is an ever changing variable, and b is being the y intercept, that basically gives the answer.

the quadrilaterals ABCD and JKLM are similar. Find the length of x of KL


sorry if the photo does not load

Answers

Answer:

1.5

Step-by-step explanation:

abcd is 2 times bigger than jklm. so 3÷2=1.5

5÷2=2.5

2÷2=1

7÷2=3.5

so that means 3÷2=1.5

10% of the 50 coffee mugs at Adam's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0.10*50=5

Please help this is due in 10 minutes!!!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's calculate the volume of hemisphere} [/tex]

[tex] \textbf{Given :} [/tex]

[tex] \textsf{radius = 11 inches} [/tex]

[tex] \textbf{Volume of a hemisphere is :} [/tex]

[tex] \sf{v=\dfrac{2}{3}\pi r³} [/tex]

[tex] \sf{v=\dfrac{2}{3}\cdot 3.14 \cdot 11³} [/tex]

[tex] \sf{v=\dfrac{2}{3}\cdot 3.14\cdot 1331} [/tex]

[tex] \sf{v=\dfrac{8358.68}{3}} [/tex]

[tex] \sf{v\approx 2786.2 in³} [/tex]

Find the measure of <1

Please answer ASAP

Answers

Answer: 70 degrees

Step-by-step explanation:

The angle created by a tangent and a chord is half the measure of the arc.

SOMEONE PLES HELP ME !!!
1. even or odd
2. Positive or negative

Answers

Step-by-step explanation:

The degree fix, is 4 and the leading coefficient of is 3 There are values. distinct real zeros and 3. relative maximum 2 [analyze]

A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?
ty if you could help :)

Answers

Answer:

The chain is around 11 feet in length.

Step-by-step explanation:

Area of a circle = π × r²

380 ft² = π × r²

121 ft² = r²

11 ft = r

Solve for x: 2/7 (x-2) =4c

Answers

Answer:

x=14c+2

Step-by-step explanation:

[tex]\frac{2}{7} (x-2)=4c \\\frac{2}{7}x-\frac{4}{7} =4c\\\frac{2}{7}x=4c+\frac{4}{7}\\\frac{2}{7}x= \frac{28c+4}{7} \\2x=28c+4\\x=14c+2[/tex]

it's for my friend............................................

Answers

Answer:

Ok get ready to get taken down by either Sarah, Katie, or Eric lol

Step-by-step explanation:

Ashley's ladder is 1.85 meters high. what is the height in centimeters, of Ashley's ladder

Answers

Answer:

185cm

Step-by-step explanation:

Answer:

185 cm

Fun Fact : my name is Ashley

Can someone please help me ??

Answers

Answer:

C

Step-by-step explanation:

The values are not vectors so ST/SR should be 3

Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.

Answers

Step-by-step explanation:

14, 14,median

So option d is right

I hope it helped you

3a + 2=11... need help urgently. ​

Answers

Answer:

a=3

Step-by-step explanation:

3a+2=11

-2

3a=9/3

a=3

Answer:

answer is a=3

Step-by-step explanation:

What slope would make the lines
perpendicular?
y = 1/2x-1
y = [?]x - 1

Answers

Answer:

y = [-2]x - 1

Step-by-step explanation:

y = [-2]x - 1 will make the lines perpendicular.

Because the product of slopes of perpendicular lines is -1

-> 1/2*(-2) = -1

Hope it helps you in your learning process.

The product of two consecutive positive integer is 306. We need to find the Integers.

Hope you guys are help me.​

Answers

Answer:

Let the given set of integers be n and (n+1)

n(n+1)=306

n to the power square +n−306=0

(n+17)(n−16)=0

Therefore, n=16 and integers are 16 and 17.

Answer:

17, 18

Explanation:

Let the integers be y, y + 1

=======================

y * (y + 1) = 306                    (products of them)y² + y = 306                         (multiply)y² + y - 306 = 0y² + 18y - 17y -306 = 0         (factorize)y(y+18) -17(y+18) = 0             (take out common variables)(y-17)(y+18) = 0                     (collect into groups)y = 17, -18                                y = 17                                    (as required positive integer)

Next integer:

y + 117 + 118

what is (3x + 4)(5x − 2)

Answers

Answer:

15x² + 14x - 8

Step-by-step explanation:

Apply the distributive property by multiplying each term in (5x - 2) by each term in (3x + 4).

5x(3x) + (-2)(3x) + 5x(4) + (-2)(4)

= 15x² - 6x + 20x - 8

Combine like terms:

15x² + 14x - 8

(3x + 4)(5x − 2) is the factored form of 15x² + 14x - 8.

hope this helps!

15x^2+14x-8 is the answer to this problem

P(, b)
s(a)
70)
T
16
Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the
given coordinates to justify your answer. Yes it is because all four sides are parallel to each other.
Part A:
1. What is the slope of side OP?
2. What is the slope of side TS?
3. Are side OP and side TS parallel/perpendicular/neither? Parallel
Part B
1. What is the slope of side OT?
2. What is the slope of side PS?
3. Are side OT and side PS parallel/perpendicular/neither? Parallel
Part C
1. What is the length of side OP?
2. What is the length of side TS?
3. Are side OP and TS congruent or not congruent? They are congruent
Part D
1. What is the length of side PS?
2. What is the length of side OT?
3. Are side PS and side TS congruent or not congruent? They are not congruent
Part B
1. What is the midpoint of diagonal PT?
2. What is the midpoint of diagonal OS?
3. Do the two diagonals PT and OS bisect each other? Yes

Answers

Answer:

lmk when you got the answer

If n is an even integer, which of the following is not necessarily even?
A.2n
B.n/2
C.3n
D. n^2
E.n^2/2​

Answers

Answer:

B

Step-by-step explanation:

imagine if n=2 so B equal to 1

What is the area of the
figure shown?
in?
3 in.
10 in.
5 in.
10 in.
Intro
Done

Answers

Answer:

65in^2

Step-by-step explanation:

5*10+(1/2)*3*10=65

Which of the following do not represent a function of x?
F
G
H
J

Answers

Answer:

f,j

Step-by-step explanation:

A variable needs to be eliminated to solve
the system of equations below. Choose the
correct first step.
-4x + y = -35
-2x - y = -7
Add to eliminate x.
Add to eliminate y.
Subtract to eliminate x.
Subtract to eliminate y.

Answers

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose?

Answers

Answer:

5 $ per rose

Step-by-step explanation:

it is 5 $ as

if we do 90 / 18 we get 5

or 5 × 18 is also equal to 90

therefore it is 5$ per rose

edit if you like my answer please mark brainlist

A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying?

Answers

Answer:

33%

Step-by-step explanation:

x = original price     now take 45% off <=====means you pay 55% of original

.55 x    is the new price      now  take 40% MORE off (leaving 60%)

.55x * .6  = .33 x    

please help me this is timed!!


which point represents the unit rate?

a
b
c
d

Answers

Answer:

C, because it is one unit across

filler filler filler

No additional support is required for this installation (the earth can support the conduits) if the conduit length from the finish surface (dirt here) to the box is ___ inches or less.

Answers

If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.

What is Trenchless Installation of Conduits Underneath Highway?

Trenchless Installation of Conduits Underneath Highways is described as a planned and engineered way with the issue of permits for installing conduits beneath roadways, local transportation authorities; and manufacturers of trenchless construction equipment.

It presents the current situation of the technique for laying conduits beneath highways without open-cut excavation using trenchless technology.

If the conduit length from the finished surface (dirt area) to the box is 18 inches or less, no extra support is necessary for this installation.

Learn more about Installation of Conduits here:

https://brainly.com/question/2272757

Other Questions
a. Multiplication Property of Equalityb. Division Property of Equalityc. Addition Property of Equalityd. Subtraction Property of Equality Read the excerpt from the play The King of Sharks:Scene 3Young man with a birthmark in the shape of shark teeth on his back is hiding behind some trees, listening to fishermen talk.Narrator: The shark prince grew up. He became a strong young man who looked just like the other young men of the village, except for the strange birthmark on his back.Fisherman 1: I hear there is good fishing out at the cove. I will head there tomorrow morning at first light.Fisherman 2: I will join you! Be sure you don't mention where you are going to anyone else. It will mean more fish for us!Fisherman 1: I won't tell a soul. You must have said something last time. There were hardly any fish left.Narrator: The prince often listened to where the village fishermen planned to go, and he would always get there first to eat his fill of the delicious fish. With his father's cloak around his shoulders, the prince could transform into a shark whenever he chose. The fishermen were becoming suspicious.Exit fishermen. Prince creeps down to the water's edge and wraps the cloak around his shoulders before jumping into the sea. A shark fin can be seen heading out into the water. Enter fishermen.Fisherman 1: I knew it! That trickster boy has been stealing our fish.Fisherman 2: It's not right, using magic to rob honest people of food and a living.Fisherman 1: He must go.Read the excerpt from the story Hummingbird and Heron:The two birds began to argue over who had eaten more fish. Finally, Hummingbird raised his wing to stop the debate."I do not think there are enough fish left in the river for both of us," he said. "Let's have a race. Whoever reaches the dead tree on the other side of the hills first owns all the fish. The loser has to find something else to eat."Heron agreed. They prepared to race. Hummingbird was certain that he would win. 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