Given a central angle of 252° and an arc length of 44 ft, determine the radius.

Answers

Answer 1

Answer:

10ft

Step-by-step explanation:

Given parameters:

Central angle  = 252°

Arc length  = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

       Arc length  = [tex]\frac{central angle}{360}[/tex] x 2πr

 Insert the parameters and solve for r,

         44  = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r

          44  = 4.4r

               r  = 10ft


Related Questions

Alex has to fill his 10 gallon fish tank with water. He only has a 1 pint bucket. How many times will he have to fill his bucket to fill the tank?????W

Answers

Answer:

80

Step-by-step explanation:

8 pints in a gallon so then you multiply 8 x 10 and get 80

Answer:

80

Step-by-step explanation:

1 gallon = 8 pints8 × 10 = 80

I hope this helps!

PLEASE HELP!!! Chloe is working two summer jobs, landscaping and clearing tables. She must work no less than 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours landscaping, l and the number of hours clearing tables, c, that Chloe can work in a given week.

Answers

Answer:

got u homie

Step-by-step explanation:

Answer:

l +c _> 12

Step-by-step explanation:

how to find the area figure of square inches​

Answers

It is length times width in^3

I will give brainliest! 2(6x+3)

Answers

Answer: 12x+6

Step-by-step explanation:

distributive property

Answer:

=12x + 6

Step-by-step explanation:

plz help and ty very much​

Answers

Answer:

True

Step-by-step explanation:

For a compound inequality using the word "or" to be true, all you need is for one of the parts to be true.

-6 < 7 is true

-2 <= -2 is also true

Answer: True

What is the area of quadrilateral WXYZ?

Answers

Answer:

[tex]Area = 105[/tex]

Step-by-step explanation:

Given

[tex]W = (-5,4)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]X = (3,4)[/tex] ------ [tex](x_2,y_2)[/tex]

[tex]Y = (6,-6)[/tex] ----- [tex](x_3,y_3)[/tex]

[tex]Z = (-7,-6)[/tex] ---- [tex](x_4,y_4)[/tex]

Required

Determine the area;

Area is calculated as thus:

[tex]Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)][/tex]

Substitute values

[tex]Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)][/tex]

[tex]Area = \frac{1}{2}[(-102)-(108)][/tex]

[tex]Area = \frac{1}{2}[-102-108][/tex]

[tex]Area = \frac{1}{2}[-210][/tex]

[tex]Area = -105[/tex]

[tex]Area = 105[/tex]

None of the options answer the question:

How much will cost to buy beef for a family of 5 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?

Answers

Answer: 2.5 or 3

Step-by-step explanation:

please help
thank you​

Answers

Answer:

There's your answer!

Step-by-step explanation:

To do these just grab a calculator, or if you know your multiplication tables like I do, it's extremely easy, for example, when multiplying 60 and 80, you can do it in your head by just multiplying 6 and 8 to get 48, then add the two zeros on the end from 60 and 80, and you'll get 4800.

In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?

Answers

Answer:

about 37.31 inches of space

Step-by-step explanation:

In this case, you would need to find the area of a cylinder with these dimensions.

Formula: 2πrh+2πr²

The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.

2π(1.25)(3.5)+2π(1.25)²

2π4.375+2π1.5625

8.75π+3.125π

37.3064128

about 37.31 inches of space

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your answers to 4 decimal places where possible) a. Compute the probability that a randomly selected peanut M&M is not green. 0.850 b. Compute the probability that a randomly selected peanut M&M is green or red. c. Compute the probability that two randomly selected peanut M&M’s are both red. d. If you randomly select two peanut M&M’s, compute that probability that neither of them are red e. If you randomly select two peanut M&M’s, compute that probability that at least one of them is red.

Answers

Complete question

The complete question is shown on the first uploaded image

Answer:

a

  [tex]y' = 0.85 [/tex]

b

 [tex]P(J) = 0.27  [/tex]

c

 [tex]P(R) = 0.0144 [/tex]

d

  [tex]P(R') =  0.7744 [/tex]

e

 [tex]P(Q) =0.2256 [/tex]

Step-by-step explanation:

From the question we are told that

   The proportion of M & M's that is  brown is  b =  0.12

   The proportion of M & M's that is  yellow  is  y =  0.15

    The proportion of M & M's that is  red  is  r =  0.12

    The proportion of M & M's that is  blue  is  b =  0.23

    The proportion of M & M's that is  orange  is  o =  0.23

    The proportion of M & M's that is  green  is  g =  0.15

Generally the probability that a random selected M&M is not yellow is  

         [tex]y' =  1-y[/tex]

=>      [tex]y' =  1-0.15[/tex]

=>      [tex]y' = 0.85 [/tex]

Generally the probability that a randomly selected peanut M&M isgreen or red is mathematically represented as

       [tex]P(J) =  g +  r [/tex]

=>    [tex]P(J) =  0.15 + 0.12 [/tex]

=>    [tex]P(J) = 0.27  [/tex]

Generally the  probability that two randomly selected peanut M&M’s are both red is mathematically represented as

      [tex]P(R) = r^2[/tex]

=>    [tex]P(R) = 0.12^2[/tex]

=>    [tex]P(R) = 0.0144 [/tex]

Generally if two  two peanut M&M’s are selected the probability that neither of them are red is mathematically represented as

     [tex]P(R') =  (1 -r)^2[/tex]

=>  [tex]P(R') =  (1 - 0.12)^2[/tex]

=>   [tex]P(R') =  0.7744 [/tex]

Generally if two  two peanut M&M’s are selected the probability that at least one of them is red is mathematically represented as

        [tex]P(Q) =  1- P(R')[/tex]

=>      [tex]P(Q) =  1- 0.7744 [/tex]

=>      [tex]P(Q) =0.2256 [/tex]

   

Peach Produces pays its employees by the formula of P(b) = 5/2b + 45 ,where p(b) is the employee's total pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?

A. $2.50
B. $5.00
C. $2.00
D. $45.00

Answers

Answer:

The rate is $2.5

Step-by-step explanation:

Given that the expression for the pay of employee is given as

P(b) = 5/2b + 45

we can simplify the fraction and write it as decimal as

P(b) = 2.5b + 45

This means that the employees have a fixed pay of $45

and also a rate of $2.5 per peaches picked

therefore the answer is A. $2.5

The rate is $2.5

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

Answers

Answer:

28.9

Step-by-step explanation:

tan (18) = 9.4/x times x

x times tan(18) = 9.4 / tan(18)

            tan(18)

        crosses out.

On a calculator do 9.4/

                             tan(18).

x = 28.9

         

HELPPPPPPPPPPPPPPPPPPP

Answers

X = 100 degrees

This is because the straight angle equals 180 degrees in total so to find the value of x you write the following equation

X + X -20 = 180 degrees
2x -20 = 180 degrees
+20 +20
2x = 200
Divide by 2 on both sides
X = 100

The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the percentage of heat rates greater than 55

Answers

Answer:

84%

Step-by-step explanation:

The empirical rule states that 68% values are within 1 standard deviation of mean, i.e,

70

±

15

or from 55 to 85. Since normal distribution is symmetric, we must have (32%) outside this range, and 32/2=16% on the right if this range. Hence below 85 we have (100-16) % = 84%

Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

Answers

Answer:

[tex]\angle ABD =42.4^{\circ}[/tex]

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

[tex]\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)[/tex]

Since we are given that ∠ABC ≅ ∠CBD

So, [tex]\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3[/tex]

[tex]\angle CBD = (4x)=4(5.3)=21.2^{\circ}[/tex]

[tex]\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}[/tex]

Hence [tex]\angle ABD =42.4^{\circ}[/tex]

please I need a quick help ​

Answers

Answer:

x intercept (-2,0) y intercept (0,2)

Step-by-step explanation:

Answer:

I'm pretty sure these are the answers

x-intercept (-2,0)

y-intercept (0,2)

Explanation:

x-intercept: Is coordinates where the line hits the x-axis

y-intercept: Is coordinates where the line hits the y-axis

A newspaper article states that 90% of drivers in Iowa wear their seatbelt. Suppose we are interested in estimating the proportion of drivers in Iowa City who wear their seatbelt when driving. We will observe drivers at different times of the day at different locations around town and record whether they are wearing their seatbelt. How large of a sample would we need to estimate this proportion to within 1% with 95% confidence?

Answers

Answer:

The sample size is  [tex]n  = 3457 [/tex]

Step-by-step explanation:

From the we are told that

  The population proportion is  p =  0.90

  The margin of error is  E =  0.01  

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the sample size is mathematically represented as

       [tex]n =[ \frac{ Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)[/tex]

=>  [tex]n  =[  \frac{ 1.96  }{0.01} ]^2 * 0.90(1-0.90)[/tex]

=>   [tex]n  = 3457 [/tex]

In josh’s classroom the teacher has 625 pencils to pass out to 25 students. If the same number of pencils is given to each student, how many students get?

Answers

Answer:

Each student is given 25 pencils

Step-by-step explanation:

There are 25 students and 625 pencils. How many is each student gonna receive?

625 pencils ÷ 25 students = 25 pencils are given to each student

Answer:

Each student is given 25!

Step-by-step explanation:

Hope this helps!  ^w^

Calcula la circunferencia y el círculo con estos datos Radio: 8 cm. CF= ?

Answers

Answer:

50.27

Step-by-step explanation:

What is the slope of the line below?

(2,4)
(-4,-2)


A. zero
B. negative
C. undefined
D. positive

Answers

Answer: d. positive.

Step-by-step explanation: the graph shows a line that is increasing.

2. Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed, with a mean of 3.2 mg/dl and a standard deviation of 1.5 mg/dl. A researcher believes that one area of the United States has naturally elevated arsenic levels in the ground and water supplies. An SRS of 25 individuals in this area found a sample mean arsenic level of 3.75 mg/dl. What are the null and alternative hypotheses for this study?

Answers

Answer:

The null hypothesis                 [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 3.2 \ mg/dl[/tex]

   The standard deviation is [tex]\sigma = 1.5 mg/dl[/tex]

   The sample size is  n = 25

    The sample mean is  [tex]\= x = 3.75 \ mg /dl[/tex]

Generally

   The null hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is [tex]\mu = 3.2 \ mg/dl[/tex]

i.e

The null hypothesis  [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

    The alternative hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is greater than  [tex]\mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

One case of books weighs 34 pounds. One case of magazines weighs 25 pounds. A book store wants to ship 73 cases of books and 91 cases of magazines to another store. What is the total weight of the shipment?

Answers

Answer:

4,757 pounds

Step-by-step explanation:

One case book weighs 34 pounds

One case of magazines weigh 25 pounds

A book store wants to ship 73 cases of book 91 cases of magazines

Therefore the total weight of the shipment can be calculated as follows

= 34×73 + 25×91

= 2482 + 2275

= 4,757

Hence the total weight of the shipment is 4,757 pounds

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

thanks who ever helped ​

Answers

Answer:

60 × 50 = 3000

7 × 50 = 350

60 × 4 = 240

7 × 4 = 28

3000 + 350 + 240 + 28 =3618

54 × 67 = 3618

PLS HELP ME ILL MARK BRAINLIST!!

Answers

Answer:

D

Step-by-step explanation:

Anna is 9 years less than twice jims age. The sum of thier ages are 63. how old are anna and jim

Answers

Answer:

Jim is 36. Anna is 27.

Step-by-step explanation:

63 -9 = 54

54 ÷ 2 = 27

27 + 9 = 36

Anna's age is 39 years old while Jim's age is 63-year old based on the formation of the equation for their age.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's say Anna's age is A while Jim's age is J.

As per the given,

Anna is 9 years less than twice Jim's age.

A = 2J - 9

And,

Sum A + J = 63

By solving both equations,

63 - J = 2J - 9

63 + 9 = 3J

J = 24 years old.

A = 2(24) - 9 = 39 years old.

Hence "Anna's age is 39 years old while Jim's age is 63-year old based on the formation of the equation for their age".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

A veterinarian interested in studying the causes of enteroliths in horses suspects that a diet high in alfalfa may be a cause. The veterinarian decides to use the following design: identify 30 horses at high risk for enteroliths and divide them into groups 10 groups of 3 horses. Some groups consisted of horses in barn stalls, some groups consisted of horses in outdoor paddocks, and some groups consisted of horses in pasture. Within each group one horse is randomly assigned to an alfalfa diet, one is assigned to a grass hay diet, and one horse is fed oat hay. When a horse is in pasture all the other horses in pasture will also receive the diet of the study horse. Therefore, only one horse could be selected from the same pasture. This study has:

Answers

Answer:

Randomized block design

Step-by-step explanation:

A randomized block design is essentially an experimental design where the units of the experiment are in groups which are called blocks. Now, treatments are usually randomly allocated to the units of experiment inside each block and when all the treatments appear a minimum of one time in each block, we can conclude that we have achieved a completely randomized block design.

Now, in the question we see that the experimental units which is the "30 horses at high risk for enteroliths" are divided into 3 groups. We can call these groups blocks. Now we see that further treatments such as alfalfa diet, grass hay diet and oat hay diet are assigned to different horses each within those groups/blocks.

Now, this description fits the definition of a randomized block design given above.

Thus, the study is a randomized block design

Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500

Answers

Answer:

The median monthly sales goal is $30000

Step-by-step explanation:

Monthly Sales Goals (in thousands)

Stem Leaf

1 8 9

2 5 6 6 8

3 2 3 3 6 9

4 0

Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40

n = 12(even)

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]

[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]

So, The median monthly sales goal is $30000

So, Option C is true

4+(8/(8-7)+6-12)x10)

Answers

The answer is 24, hopes this helps!

find two numbers that equal 11,000 when added together, but also equal 3,000 when subtracted from each other

Answers

Answer:

4000 and 7000

Step-by-step explanation:

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