the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle​

Answers

Answer 1

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°


Related Questions

a teacher that likes two different numbers p and q and states that p plus q equals 0 which statement could be true about these two numbers
(A)both numbers are positive
(B)both numbers are negative
(C)one number is zero in the other is positive
(D)one number is positive and the other is negative

Answers

D, one number is positive and the other is negative. The only way it could equal 0 is to cross the other out. An example is, -5+5=0

Are the ratios 1:2 and 4:7 equivalent?

Answers

Answer:

No

Step-by-step explanation:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

5. At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?

Answers

While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.

The ratio of mass to volume for a type of metal is 27 g to 10 cm³ a sample of the metal has a mass of 81 g what is the volume in cubic centimeters of the sample of metal

Answers

Answer:

volume in cubic centimeters = 30 cm³

Step-by-step explanation:

Ratio of mass to volume = 27 g : 10 cm³

what is the volume in cubic centimeters of the sample of metal if mass = 81 g

Let

volume in cubic centimeters = v

Ratio of mass to volume = 81 g : v

Equate both ratios

27 g : 10 cm³ = 81 g : v

27/10 = 81/v

Cross product

27 * v = 10 * 81

27v = 810

v = 810/27

v = 30 cm³

volume in cubic centimeters = 30 cm³

file:///C:/Users/TOSHIBA/Downloads/SISTEMA%20DE%20MEDICION%20ANGULOS%20(1).pdf

necesito solo las respuestas de la ultima pregunta, por favor

Answers

Answer:

I was unable to see this link. Sorry.

Step-by-step explanation:

please dont put any links or I'll report:(​

Answers

Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

Show work and thank you

Answers

Square root of 36 is 6
I dont know what is this called 36 is 6 2/3

Find the percent change from the first value to the second.
20;30
The change is (select)

Answers

Answer:

increase by 10%.

Jasper spent $9.74 at the bookstore. He gave the clerk $10.00. Which shows the correct change jasper should get back? 24 cent, 26 cent, 34 cent, or 36 cent? I will make you brainlest

Answers

Answer:

26 cents

Step-by-step explanation:

S0, lets just subtract the 10 by the 9.74 to get our answer:

10-9.74

=

0.26

So, lets remember that there are 100 cents in 1 dollar.

So 1 cent would be: 0.01

Our answer we got above is 0.26

So that must be 26 cents.

Answer:

26

Hope this helps! ;)

Please help I do not know the answer

Answers

Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

Answer:

5.7

Step-by-step explanation:

Suppose that in a large batch of chocolate chip cookies, the number of chips in a given cookie is in a normal distribution with mean 7.5 and standard diviation 1.2.

(a) What is the probability that a cookie has less than 9 chips?
(b) What is the probability that a random sample of 4 cookies has an average of less than 9 chips per cookie?

Answers

If a normal distribution with a mean of 7.5 and a standard deviation of 1.2. (a) The probability that a cookie has less than 9 chips is 0.8944. (b) The probability that a random sample of 4 cookies has an average of fewer than 9 chips per cookie is 0.9938.

As μ = 7.5, σ = 1.2. The number of chips in a given cookie is in a normal distribution. We need to estimate the following probabilities:

(a) For this, we need to identify the probability of a Z-score when X=9. We can calculate it using the formula,

Z = (X-μ)/σ.

Therefore,

Z = (9-7.5)/1.2 = 1.25.

Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 1.25. Using the calculator, P(Z < 1.25) = 0.8944.

(b) For this, we need to identify the probability of the Z-score when X = 9, n=4. We can calculate it using the formula,

Z = (X-μ)/(σ/√n).

Therefore,

Z = (9-7.5)/(1.2/√4) = 2.5.

Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 2.5. Using the calculator, P(Z < 2.5) = 0.9938.

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The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12 discs

Step-by-step explanation:

Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.

A_rectangle = length × width

A_rect = 56 × 33

A_rect = 1848 cm²

It is now melt down and recast into disc's of 7 cm radius and similar thickness.

Thus;

Area of one disc = πr² = π × 7² = 49π

Thus,number of disc's cast = 1848/49π

number of disc's cast = 12

Regression analysis was applied between the number of hours a student studied for a test and the test score and the following regression equation was obtained y = 50 +7 If a student spends 5 hours studying for a fost what is the test score? 50 we do not have enough information to answer this question Question: What is the critical thom the tables for alle hypothesisamos 20 when population standard deviation is unknown Considerio C-412 -1.725 1.720 4125 Question : A contingens position to an applicant the card scores foto Interviews. Eachinewasa se 200 000 An HR behou tendants score can be prices on the scores of the following regression out predict the core of the fourth based on the free ANOVA 3 MS Rey 3 15131 007 ti Ener Tot OURCE Predor Coutine Standard Lot 02145 80150 1 0033 000 DO 47400 no 01264 What is the 31

Answers

In the first question, based on the given regression equation, if a student spends 5 hours studying for a test, the predicted test score would be 50 + 7(5) = 85.

In the second question, the information provided is unclear and incomplete. The given text appears to contain multiple unrelated statements and lacks sufficient context or specific details to answer the question regarding the critical value for hypothesis testing.

1. For the first question, the regression equation is given as y = 50 + 7x, where y represents the test score and x represents the number of hours studied. To find the test score when a student spends 5 hours studying, we substitute x = 5 into the equation: y = 50 + 7(5) = 85.

2. However, the second question is unclear and does not provide sufficient information or context to determine the intended calculation or answer. It mentions something about applicant interviews, regression output, and ANOVA, but the information is not well-defined or organized. Without specific details and clear instructions, it is not possible to provide a meaningful response.

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Determine L ¹{F}. — - 14s - 25 F(s) = (s + 3)² (s+5)

Answers

The inverse Laplace transform of F(s) = (s + 3)² (s + 5) is given by L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t).

To determine the inverse Laplace transform of F(s) = (s + 3)² (s + 5), we can use the properties and formulas of Laplace transforms.

The inverse Laplace transform of F(s) can be obtained by applying partial fraction decomposition, followed by looking up the corresponding inverse Laplace transform in a table of Laplace transforms.

Let's first factorize F(s):

F(s) = (s + 3)² (s + 5)

Next, we perform partial fraction decomposition. We express F(s) as the sum of simpler fractions:

F(s) = A/(s + 3) + B/(s + 3)² + C/(s + 5)

To find the values of A, B, and C, we can equate the numerator of F(s) with the sum of the numerators in the partial fraction decomposition:

(s + 3)² (s + 5) = A(s + 3)(s + 5) + B(s + 5) + C(s + 3)²

Expanding the equations and collecting like terms, we get:

s² + 8s + 15 = (A + C)s² + (8A + 3C + B)s + (15A + 5B)

Equating the coefficients of the terms on both sides, we have the following system of equations:

A + C = 1

8A + 3C + B = 8

15A + 5B = 15

Solving this system of equations, we find A = 1/2, B = -1/2, and C = 1/2.

Now, we can rewrite F(s) in terms of the partial fractions:

F(s) = 1/2/(s + 3) + (-1/2)/(s + 3)² + 1/2/(s + 5)

Looking up the inverse Laplace transform of each term in the table, we find:

L⁻¹{1/2/(s + 3)} = 1/2 * e^(-3t)

L⁻¹{(-1/2)/(s + 3)²} = -t * e^(-3t)

L⁻¹{1/2/(s + 5)} = 1/2 * e^(-5t)

Therefore, the inverse Laplace transform of F(s) is:

L⁻¹{F} = 1/2 * e^(-3t) - t * e^(-3t) + 1/2 * e^(-5t)

This is the desired result for the inverse Laplace transform of F(s).

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Cost to store: $140

Markup: 25%

The selling price is $
what is the selling price ?

Answers

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

Will be marking brainliest for the correct answer!!

Maximum answers is 3, so please 3 of the following ^^

Answers

Answer:

x = 6

11/2x + 2/3x = 37

37/6x = 37

Step-by-step explanation:

these are correct since when you evaluate the equation, you only get 6 being the value for x. And all these three options I wrote above lead to x = 6

Hope this helped :)

find the values of x and y

Answers

Answer:

the answer is X = 40 Y=50

Step-by-step explanation:

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

Suppose you are planning a qualitative study to examine the problem of attrition from an online doctoral program. Describe the role of the literature review in this qualitative study.


Suppose you are planning a quantitative study of the factors that predict attrition from a doctoral program. When should you complete a literature review for this quantitative study? Before or after determining your research hypothesis or research questions?

Answers

The required answer is The literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

Explanation :

The role of literature review in the qualitative study.To examine the problem of attrition from an online doctoral program in a qualitative study, a literature review is essential to identifying the theoretical frameworks and practices for reducing attrition. Researchers need to review the current theories on student retention, persistence, and attrition to examine the factors contributing to these trends.

By reviewing related literature, researchers gain insight into how student attrition is approached in existing literature. Additionally, literature review helps in developing the research problem and objectives, identifying gaps in the current literature that the study can fill. This provides a solid foundation for conducting qualitative research and enables the researcher to identify the gaps and the direction the study should take.

When should you complete a literature review for a quantitative study?For a quantitative study of the factors that predict attrition from a doctoral program, a literature review should be completed before determining your research hypothesis or research questions.

A literature review is essential as it helps researchers to identify the current literature, theories, and research studies conducted in the area of attrition in doctoral programs.

By conducting a literature review, the researcher can identify gaps, inconsistencies, and areas that require more attention. This allows researchers to develop an appropriate research design, research questions, and hypotheses that address the identified gaps in the literature.

Thus, the literature review should be completed before developing a research hypothesis or research questions for a quantitative study.

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Find the margin of error E for a 97% confidence
interval for (p1 − p2),
given that n1 = 108, n2 = 723, x1
= 62, and x2 = 235
Round your answer to three decimal places.

Answers

The margin of error for a 97% confidence interval for (p1 - p2) is 0.159.

To find the margin of error (E) for a 97% confidence interval for (p1 - p2), we can use the following formula:

E = Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

Where:

Z is the z-score corresponding to the desired confidence level. For a 97% confidence level, the z-score is approximately 2.170.

p1 and p2 are the sample proportions for populations 1 and 2, respectively.

n1 and n2 are the sample sizes for populations 1 and 2, respectively.

To calculate p1 and p2, we divide the sample counts (x1 and x2) by their respective sample sizes (n1 and n2).

p1 = x1 / n1 = 62 / 108 ≈ 0.574

p2 = x2 / n2 = 235 / 723 ≈ 0.325

Substituting the values into the formula, we have:

E = 2.170 * sqrt((0.574 * (1 - 0.574) / 108) + (0.325 * (1 - 0.325) / 723))

Calculating this expression, we find:

E ≈ 2.170 * sqrt(0.004957 + 0.000443)

≈ 2.170 * sqrt(0.005400)

≈ 2.170 * 0.073486

≈ 0.159

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{1+8+27+64+125...} find the next 9 terms

Answers

Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744

Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...

{..216+342+512+729+1000+1728+2197+2744}

I NEED HELP WITH THIS PLS ASAP!!!

Answers

You should try D since 2.3, 9, and .123...aren’t really considered Irrational. I may be wrong, it may be C, but try D since that one makes more sense tbh.

This would mean so much! Find the area of each figure. Write the
equations and solve showing ALL the work.(143) is the answer I need help with the work

Answers

Answer:

143 ft2

Step-by-step explanation:

Formula for parrallelogram: A= BxH

13x11= 143

A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.

OPTIONS:
8
46
50
40

Answers

46? Since we got 7*3+5*5 and that is 21+25=46.

7th grade math help me pleaseeee

Answers

Answer:

a)b=4

b)x=-9

c)r=6

Step-by-step explanation:

Question 2.

a)5b+6=26

5b=26-6

5b=20

b=4

b)6-x=15

-x=15-6

-x=9

x=-9

c)r/2+2=5

r/2=5-2

r/2=3

Multiply both sides by 2 to remain with r

r/2×2=3×2

r=6.


Help me with this and you’ll be marked as Brainliest

Answers

Answer:

A.) The base is 5 and the exponent is 3

B.) The base is 4 the exponent is 7

C.) The base is 3 the exponent is 4

D.) The base is 6 the exponent is 8

Step-by-step explanation:

What is debt-to-income ratio and how do you figure it out?

Answers

To calculate your debt-to-income ratio:

Add up your monthly bills which may include: Monthly rent or house payment. ...

Divide the total by your gross monthly income, which is your income before taxes.

The result is your DTI, which will be in the form of a percentage. The lower the DTI; the less risky you are to lenders.

which is the simplified form for
2(3a+5)+8(a-1)

a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2


miku nakano here

Answers

LOL.

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer: Choice C. [ 14a + 2 ]

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

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