A circle has a radius of 3. An arc in this circle has a central angle of 60°.
What is the length of the arc?
Either enter an exact answer in terms of 7 or use 3.14 for 7 and enter your answer as a decimal.

Answers

Answer 1

Answer:

π

Step-by-step explanation:

s = (∅/360) * (2πr)

s = (60/360) * (2π*3)

s = (1/6) * (6π)

s = π


Related Questions

Which two expressions are equivalent? B. A 4(2 + x) 4.2 +2.x 4 + 2 + x (4 + 2) + X D. C. 4. X + 2 4. (x + 2) 4 = (2-x) 4- 2 = X​

Answers

i think it’s B because it’s in the right for mate

Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)

Answers

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

The height of the balloon above the ground is 554 ft.

I have attached a diagram where i have divided the triangle shown into 2.

From the attached image, the third angle in triangle 1 would be;

180 - (90 + 85) = 5°

The supplementary angle in triangle 2 to 85° in triangle 1 is;

180 - 85 = 95°(because supplementary angles add up to 180)

The third angle of triangle 2 is; 180 - (95 + 75) = 10°

If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;

100/sin10 = z/sin 75

z = 100(sin 75)/(sin 10)

Applying trigonometric ratio to triangle 1, we can find h as;

h/z = sin 85

h = z sin 85

h = [100(sin 75)/(sin 10)] × sin 85

h ≈ 554 ft

Read more at; https://brainly.com/question/6241673

Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP

Answers

Answer:

49.2

Step-by-step explanation:

what is the measure of m

Answers

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

Please answer for branliest

Answers

Answer:

50%

Step-by-step explanation:

There are 2 cards greater than 5 , that is 6 and 7 , then

P( greater than 5 ) = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] = 50%

Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?

Answers

Answer:

                                     

Step-by-step explanation:

question number eight answer

Answers

Answer:

22 shots.

Step-by-step explanation:

90 shots times 24.6% = 22.14

He missed 22 shots.

Anna mixed together 3 gallons of brand a orange juice in 2 gallons of brand b orange juice. Brand b orange juice contains 64% fruit juice. What is the percent of fruit juice in brand if the mixture contains 49% fruit juice? Above are the options

Answers

36% that should be the answer
I believe the answer is 36% (sorry if you get it wrong)

In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?

Answers

Step-by-step explanation:

sin(p) = opposite / hypontenuse = 45 / 53

Can someone help please

Answers

Slope : 3

y - intercept : -2

Equation : y = -3x-2



7
<

1
2 i really need help plz

Answers

Answer:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

Step-by-step explanation:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

(Tell me the question if this is incorrect. Thanks!!!)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

2. Find the sum of the 7th term of the
geometric series. 3+1+1/3+ ...
How do I find it, must show work

Answers

Answer:

sum

In the given G.S., we have,

a

=

the

1

s

t

term

=

3

,

& the common ratio

r

=

6

3

=

2

Hence, the sum

S

n

of its first

n

terms is given by,

S

n

=

a

(

1

r

n

)

1

r

The Reqd. Sum S_7

=

3

(

1

(

2

)

7

)

1

(

2

)

=

3

(

1

+

128

)

3

=

129

In ΔQRS, q = 890 cm, s = 810 cm and ∠S=120°. Find all possible values of ∠Q, to the nearest degree.

Answers

Answer: no possible triangles

Step-by-step explanation:

It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 163 people in the first group and this group will be administered the new drug. There are 160 people in the second group and this group wil be administered a placebo. After one year, 13% of the first group has a second episode and 14% of the second group has a second episode. Select a 90% confidence interval for the difference in true proportion of the two groups.
a) [0.00590, 0.0251].
b) [0.00690, 0.0551].
c) [0.0890, 0.0551].
d) [0.00690, 0.0351].
e) [0.00890, 0.0651].

Answers

Answer:

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

First group: Sample of 163, 13% has a second episode.

This means that:

[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]

Second group: Sample of 160, 14% has a second episode

This means that:

[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]

Distribution of the difference:

[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Lower bound:

[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]

Upper bound:

[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Find the volume of a pyramid with a square base, where the area of the base is
12.2 m² and the height of the pyramid is 12.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer:

50.0 cm²

Step-by-step explanation:

Applying

Volume of a pyramid (V) = 1/3×Area of the base(A')×Heigth(H)

A= 1/3A'h.................... Equation 1

A' = Area of the base, h = height of the pyramid

From the question,

Given: A' = 12.2 m², h = 12.3 m

Substitute these values into equation 1

A = 1/3(12.2×12.3)

A = 50.02

A = 50.02 cm²

A = 50.0 cm²

Please Help ASAP
Find the expected value of the
random variable with the
following probability distribution:
0
1
2
3
4
5
6
7
8
P
.03
.15
.27
.20
.13
.10
.07
.03
.02

Answers

Answer:

3.1

Step-by-step explanation:

In order to solve for this expected value, you need to do:

(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)

Meaning that it is:

0+.15+.54+.6+.52+.5+.42+.21+.16

Which equals to: 3.1

Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.

Answer:

The answer is, 3.1

Step-by-step explanation:

Definition of probability distribution:

A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.

To find this predicted value, you must do the following:[tex](0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)[/tex]

That is to say, it is:

[tex]0+.15+.54+.6+.52+.5+.42+.21+.16[/tex]

3.1 is the value of the random variable.

To know more about  probability distribution here, https://brainly.com/question/9385303

#SPJ2

It’s either C or D? Please help

Answers

Answer:

c

Step-by-step explanation:

A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism

Answers

Answer

i think it is 48.

Step-by-step explanation:

help me with this question pls and ty

Answers

Answer:

Yes, Yes, No, No, No

Step-by-step explanation:

It is
Yes
Yes
No
No
No
I got you:)

For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged

Answers

So basically what you wanna do

What is the area of the region in the first quadrant bounded on the left by the graph of x=y4+y2 and on the right by the graph of x=5y ?
a)2.983
b)8.508
c)5005.880
d)5293.155

Answers

Answer:

2.983

I hope it is helpful to you

The area of the region in the first quadrant bounded on the left and right by the two given graphs is; A: 2.983

What is the area bounded by the graph?

We are given the equations;

x = y⁴ + y²  ----(eq 1)

x = 5y   ----(eq 2)

Now, let us put eq 1 into eq 2 to get;

y⁴ + y² = 5y

y⁴ + y² - 5y = 0

Using online roots of polynomial calculator, we have;

y = 0 and 1.516

Thus, the area of the region will be gotten by finding the integral between those two points;

[tex]\int\limits^0_\frac{1.516}{} {y^{4} + y^{2} - 5y} \, dy[/tex]

Integrating this, we have;

[tex]\left[\begin{array}{ccc}y^{4} +y^{2} - 5y\\\\\end{array}\right]^{0}_{1.516}[/tex]

Plugging in the relevant values and subtracting gives;

Area = 2.98276 ≈ 2.983

Read more about integration at; https://brainly.com/question/19053586

Michiko bought pens for $3.85 and pencils for $1.25. How much did she spend all together

Answers

Answer:

$5.10

Step-by-step explanation:

$3.85+$1.25=$5.10

Answer:

If she only bought one pen and one pencil, $5.10

Step-by-step explanation:

The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.

Answers

Answer: Circle

Solve for area

A≈17.9

C Circumference

15

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=152

4·π≈17.90493

Step-by-step explanation:

Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°

Answers

B.125°

55•45 divided by 1

Answer:

D. 100

Step-by-step explanation:

Solve for u. 2u-9= 25​

Answers

Answer:

Hello! answer: u = 17

Step-by-step explanation:

answer is 17 because... 17 × 2 = 34 and 34 - 9 = 25 Hope that helps!

Answer:

u=17

Step-by-step explanation:

2u-9=25

2u=34

u=17

PlS help lots of points

Answers

I feel like there is something missing from this question, for example how large is the tree house? If these are just plain measurements, then I would opt for B.

PLS ANSWER RN

Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23

B. 24

C. 67

D. 134

Answers

The answer is C. 67
sorry if im wrong:(

PLS I NEED HELP FAST
Find the surface area of the cone.

Answers

Answer:

373.8

Step-by-step explanation:

Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true

Answers

Answer:

2

Step-by-step explanation:

4(3+2) = 6(2)+4(2)

4(5) = 12 + 8

20=20

Answer:

2

Step-by-step explanation:

4(3+2)=20

6(2)+4(2)

12+8=20

so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor  this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches  

so, here is math problem. solve for information.

Answers

Answer:

Fre.e points im guessing?

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