In the image below, the length of the arc defined by the sector is

In The Image Below, The Length Of The Arc Defined By The Sector Is

Answers

Answer 1

Answer:

10pi feet

Step-by-step explanation:

The formula for arc length (degrees) is: 2pi x radius x angle/360

2pi x 30 x 60/360

60pi x 1/6

10pi


Related Questions

A duck swims at a speed of 1 meter per second. How long does it take for it to cross a 50 meter wide pond?

Answers

Answer:

50 seconds.

Step-by-step explanation:

Hope this helps!

Answer:

50 seconds.

Step-by-step explanation:

If it takes 1 meter per second.

50 meter = 1 × 50 seconds

= 50 seconds.

V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m

Answers

Answer: 6x-15

Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15

Answer:

6x-15

Step-by-step explanation:

Distributive property means that you would be distributing.

So, 3 · 2x = 6x

3 · -5 = -15

You cannot simplify any further, so the final answer is 6x - 15.

Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P

5, 4, 16/5 find the 7th term

Answers

Answer:

a₇ = [tex] \frac{4096}{3125} [/tex]

I need some help with my grade 10 math work

A music store had a sale on tapes and CDs. Tapes were on sale for $5 each and CDs were on sale for $7. During the sale, 32 tapes and CDs were sold. The cash receipts from the sale of the tapes and CDs, before taxes, were $200. Let x represent the number of tapes and let y represent the number of CDs sold during the sale.

Answers

Answer:

12 tapes and 20 CDs were sold.

Step-by-step explanation:

Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:

7 - 5 = 2

32 x 5 = 160

200 - 160 = 40

40/2 = 20

32 - 20 = 12

12 x 5 + 20 x 7 = X

60 + 140 = X

200 = X

Therefore, 12 tapes and 20 CDs were sold.

Suppose a geyser has a mean time between eruptions of 83 minutes let the interval of time between the eruptions be normally distributed with the standard deviation 33 minutes what is the probability that a randomly selected time interval between eruptions is longer than 97 minutes

Answers

Answer:

0.336

Step-by-step explanation:

Here the mean is 83 min and the standard deviation is 33 minutes.  Note that

1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes.  So 97 minutes is above the mean and below 1 standard deviation above the mean.

What is the probability that the interval is BELOW 97 minutes?  If we find this, subtracting it from 1.000 results in the desired probability.

Using the Distribution key on my TI 83 Plus calculator, I get:

normalcdf(-100,97, 83,33) = 0.664.  

Subtracting this from 1.000 results in 0.336.

Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.

The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)

Answers

Answer:

H0 : μ = 3.2

H1 : μ > 3.2

1.982

We fail to reject the Null ;

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Step-by-step explanation:

μ = average time taken by the previous contractor. ; μ = 3.2

H0 : μ = 3.2

H1 : μ > 3.2

Sample size, n = 12 ;

X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

xbar = Σx / n = 53.2 / 12 = 4.43

Standard deviation, s ; using a calculator :

s = 2.15

B.)

The test statistic :

(xbar - μ) ÷ (s / sqrt(n))

(4.43 - 3.2) ÷ (2.15 / sqrt(12))

1.23 ÷ 0.62065

= 1.982

C.)

Decision Region :

If Pvalue < α ; Reject the null

α = 0.05

Pvalue :

P(x < 1.982) = 0.9762

0.9762 > 0.05 ; Hence, we fail to reject the Null

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.

Answers

Answer: 16/2=8
8 * 8 = 64
64* 3.14 = 200.96
200.96 * 60 = 12057.6

Hope this helps (:

What is the value of C in the matrix equation below?
|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]

Answers

Given:

The matrix equation is:

[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

To find:

The value of matrix C.

Solution:

Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as

[tex]A-C=B[/tex]

[tex]-C=B-A[/tex]

[tex]C=-(B-A)[/tex]

[tex]C=A-B[/tex]

On substituting the values of the matrices, we get

[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]

Therefore, the correct option is C.

Answer: C

Step-by-step explanation: [ 4 2 -7 ]

Question 5.... plz help

Answers

Answer:

ANSWER : 4

Step-by-step explanation:

hello :

tanA=7/2    means : A= tan^-1 (7/2) =74°

What does MIJ equal ?

Answers

What that guy is typing

ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)

Answers

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Find the dot product of vectors u = -4i + 7j and v = 2i + j

Answers

Answer:

The desired dot product is -1

Step-by-step explanation:

To find the dot product of the given vectors, multiply the magnitudes of the 'i' and 'j' terms together, separately, and then add the results:

dot product of u and v = (-4)(2) + (7)(1) = -8 + 7 = -1

The desired dot product is -1

PLS HELP!!!!
72 REWARD BC ITS URGENT :(
Which of the following equations is not balanced?
A. N2 + 3H2 --> 2NH3
B. Mgl2 + Br2 --> MgBr2 + I2
C. KCIO3 --> KCI +O2
D. HCI + NaOH --> NaCI +H2O​

Answers

It is c because I used Socratic

Apr 08, 12:51:17 AM
Brittney wants to buy grapes and apples to bring to a party. Grapes cost $1.60
per pound and apples cost $1.75 per pound. If she only has $10 to spend on
grapes and apples, which inequality represents the situation where she buys x
pounds of grapes and y pounds of apples?
1.60x + 1.75y < 10
1.60x + 1.75y > 10
Submit Answer
1.75x + 1.60y < 10
1.75% + 1.60y > 10
Type here to search
O
12:5
4/8/

Answers

Answer: did you get a answer yet?

Step-by-step explanation:

please help me
A book is marked 21% off. If the original price is $23.42, what will the sale price be?

Round your answer to the nearest cent. Do not include units with your answer.

Answers

Answer:

$18.51

Step-by-step explanation:

23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51

Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent

Answers

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

What is the measurement of Angle E? A) 45° B) 600 ( 75° D) 90°​

Answers

Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º

explanation:

angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)

so the missing angle E would be 60º

This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours

Answers

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

Step-by-step explanation:

Answer:

Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at  15 degrees.

Step-by-step explanation:

3+2 5+3

Which fraction is closest to 1/2? A number line from negative 1 to 1 in halves. 1/6 3/8 3/4 ‐1/2

Answers

Answer: 3/8

because 3/8 is .375
And 3/4 is .75
And 1/6 is .1666

1/2 is .50
3/8 is closest

Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.​

Answers

9514 1404 393

Answer:

simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16

Step-by-step explanation:

  40/8+3^2+(15-7)*2 . . . . given

The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.

  40/8 +3^2 +8*2 . . . . (15-7) = 8

Then you evaluate exponential terms.

  40/8 +9 +8*2 . . . . . 3^2 = 9

Then perform multiplication and division, left to right. Here, division is first, then multiplication.

  5 +9 +8*2 . . . . . divide 40/8 = 5

  5 +9 +16 . . . . . . multiply 8*2 = 16

Finally, perform addition and subtraction, left to right.

  14 +16 . . . . add 5+9

  30 . . . . . . . add 14+16

Answer:

it is 8

Step-by-step explanation:

The area of the triangle below is 44.59 square centimeters. What is the length of the
base?
9.1 cm

Answers

Answer:

6  cm.

Explanation:  6

cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a = 1 2 h b

→ ( h = height ,  b= base )

We know:

a = 24 h = 8

So we can substitute them in and find  

Multiply by sides by 2 and then divide:

The base of the triangle is  

6 cm. -step explanation:

Round 12,628 to nearest 1,000

Answers

Answer:

13000

Step-by-step explanation:

it's closer to 13000 than to 12000

Answer:

13000

Step-by-step explanation:

12628 >>>13000

Me:

This is easy like what grade are you in?

Plz help NO LINKS this is due today

Answers

Answer:

It is C, the metric system

Please help will give brainliest

Answers

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer

Find the surface area of the rectangular prism (above) using its net (below).

Correct answer will receive a cookie and branilist

Answers

Answer:

62

Step-by-step explanation:

15+15+10+10+6+6= 62

5. A company intends to collect a random sample of size n from a population
with population proportion of interest p. Which of the following situations would
result in the smallest standard deviation of the sampling distribution of p?

Answers

Answer:D

Step-by-step explanation:

The situations that would result in the smallest standard deviation of p is; The population proportion p ≠ 0.5, and the sample size is n.

What is the standard deviation?

The formula for the standard deviation here is;

SD = √(n(p(1 - p))

Now, for the standard deviation to be maximum, it means that p = 0.5 and as such 1 - p will also be 0.5.

However, for Standard deviation to be smallest, then it means that p ≠ 0.5.

Secondly, for the sample size, it will have to remain as n and not 2n because when we say 2n, we are increasing the sample size which will in turn increase the standard deviation.

Read more about standard deviation at;

The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars.
The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem.

Answers

Answer:

The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.

Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visit to the pool?

Answers

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

Approximately how long will it take a jet to travel 400 miles at a rate of 120
miles per hour?
A.) 3 1/3
B.)3 1/2
C.)4 1/2
D.)4 1/3

Answers

Answer:

3  1/3

Step-by-step explanation:

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​​​

Answers

Answer:

It is 47.5 or 47 1/2

Step-by-step explanation:

The formula for volume of a prism is base x height.

The base is the area of the rectangle at the bottom. The area of a rectangle is, of course, length times width, so 2.5 x 4=10.

So, the base is 10.

Now, the second part of the formula is height.

The height is 4.75.

Now, do the formula: Base x height : 10 x4.75

The answer is 47.5.

Don't report me lol. I promise it is correct.

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

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