..........................................................................

..........................................................................

Answers

Answer 1

Answer:

1. 17.8 cm

2. 32.0 cm

3. 15.9 m

Step-by-step explanation:

1. Determination of the length of the arc.

Radius (r) = 6 cm

Angle at the centre (θ) = 170°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 170/360 × 2 × 3.14 × 6

L = 17/36 × 37.68

L = 17.8 cm

2. Determination of the length of the arc.

Diameter (d) = 13 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

Next, we shall determine the radius. This can be obtained as follow:

Diameter (d) = 13 cm

Radius (r) =?

r = d/2

r = 13/2

r = 6.5 cm

Finally, we shall determine the length of the arc. This can be obtained as follow:

Radius (r) = 6.5 cm

Angle at the centre (θ) = 282°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 282/360 × 2 × 3.14 × 6.5

L = 282/360 × 40.82

L = 32.0 cm

3. Determination of the length of the arc.

Radius (r) = 11 m

Angle at the centre (θ) = 83°

Pi (π) = 3.14

Length of arc (L) = ?

L = θ/360 × 2πr

L = 83/360 × 2 × 3.14 × 11

L = 83/360 × 69.08

L = 15.9 m


Related Questions

HELP ME PLEASE PLEASE PLEASEEEEE

Answers

Answer:

B) 14/3 > sq rt 8

Step-by-step explanation:

proof:

14/3=4.67

sq rt 8=2.83

4.67>2.83

The answer is A ........

A construction worker dropped a hammer while building the Grand Canyon skywalk, 4000 feet above the Colorado River. Use the formula, t = h 4 , to find how many seconds it took for the hammer to reach the river. Round your answer to the nearest second.

Answers

Answer: Hammer reaches river after 15.8 seconds.

Step-by-step explanation:

Use formula: t = square root of h divided by 4. In this problem h = 4,000.

Therefore,

T = square root of 4,000 divided by 4.

T = 15.8 seconds

Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic

Answers

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that [tex]P(A) = 0.2[/tex]

50% of rainy days start with rain clouds in the air

50% of 10%. So

[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]

What is the probability that it will rain today and ruin your picnic

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]

0.25 = 25% probability that it will rain today and ruin your picnic

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.

Which equation would allow you to calculate the price of any number of subs delivered?

Hint: x represents the number of subs

a
6x
b
2 - 6x
c
2 + 6x
d
6x(2)

Answers

Answer:

I think D or A

Step-by-step explanation:

since it goes from 20 to 26 it should be adding 6 and also multiplying by 2

yea

Dennis is getting balloons for his grandmother's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 56 balloons, how many yards of string will he need?
1 foot = 1/3 yard

Answers

Answer:

168 yards

Step-by-step explanation:

3 feet = 1 yard

9 (ft for each balloon) x 56 (# of balloons.) = 504 (ft of string needed in total)

504 (ft in total) divided by 3 (three feet = 1 yard)  = 168 (yards of string needed)

I need help quick I can’t fail I need a good grade pls help

Answers

B I think I am unsure

Answer:

ok I will try and tell you

On a​ cross-country trip, a car uses 5 gallons of gas for every 145 miles it travels. How many gallons of gas does the car use if it travels ​miles? How far can the car travel if it uses gallons of​ gas? Make a table of equivalent ratios to help you answer the questions. Then graph the ratios

Answers

Answer:

29 per gallon

Step-by-step explanation:

145/5 equals 29

1 gallon= 29 2gallon= 58 3 gallon= 87

4 gallon= 116 miles

pls brainliest

NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?

Answers
4/5
1/5
3/4
1/3

Answers

Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3

Step-by-step explanation:

Answer:

3/4 or 1/3

Step-by-step explanation:

I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

Help me pls pls pls

Answers

Expo. Pls I don’t understand the picture
It will take exactly 18 minutes

What is the distance between the points (-2, 1) and(1,3) ?Round your answer to the nearest tenth

Answers

To answer this question we're going to need to use the distance formula, which is

d = √((x2 - x1)2 + (y2 - y1)2)

We are given two points:

(x1, y1) = (-2, 1)

(x2, y2) = (-5, 3)

d = √((-5 - (-2))2 + (3 - 1)2)

= √((-3)2 + (2)2)

= √(9 + 4)

= √(13)

≈ 3.6056

Since it says to round to the nearest tenth, the distance between the 2 points is

3.6 units

d=3.6

The perimeter of a rectangle is 32. The width is four less than the length. Find the length of the rectangle.

Answers

Step-by-step explanation:

all the explanation is in the photo

Baker sammy helppppp​

Answers

Answer:

[tex]a = 8.5t[/tex]

[tex]y = 32.55[/tex]

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

[tex]m = \frac{a_2 - a_1}{t_2 - t_1}[/tex]

Where:

[tex](t_1,a_1) = (15,127.5)[/tex]

[tex](t_2,a_2) = (16.5,140.25)[/tex]

[tex]m = \frac{140.25 - 127.5}{16.5 - 15}[/tex]

[tex]m = \frac{12.75}{1.5}[/tex]

[tex]m = 8.5[/tex]

The equation is then calculated using:

[tex]a = m(t - t_2) + a_2[/tex]

So, we have:

[tex]a = 8.5(t - 16.5) + 140.25[/tex]

Open bracket

[tex]a = 8.5t - 140.25 + 140.25[/tex]

[tex]a = 8.5t[/tex]

Solving (10):

[tex]4.8y = 156.24[/tex]

Required

Find x

Divide both sides by 4.8

[tex]y = 32.55[/tex]

What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)?

Answers

Answer: (-7, 4)

1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point

2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point

Choose Yes or No to tell if the number 30 will make each equation true.

270 ÷ □ = 9

Choose...



1,200 ÷ □ = 400

Choose...



9,000 ÷ □ = 300

Choose...



600 ÷ □ = 20

Choose...

(will mark brainiest and 5 points pls answer its for a test due in 20 min).

Answers

Answer:

1. Yes

2. No

3. yes

4. yes

270 ➗ 30 = 9 } True

1,200 ➗ 30 = 40 } False

9,000 ➗ 30 = 300 } False

600 ➗ 30 = 20 } False

Hope This Helps✨

Rewrite the following expressions using exponents.

1.5×5×5×5×5
2.21×21×21
3.3×3×3×3×3
4.(8)(8)(8)(8)
5.2.2.2.2.2.2.2.2

















sagutin nyo po

i will follow you​

Answers

Answer:

1. 5⁵

2. 21³

3. 3⁵

4. 8⁴

5. 2⁸

I'm pretty sure they are correct

36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13

Answers

The answer to the following question is letter D

URGENT!!! True or False: You can use Side Side Side Similarity to prove two rectangles are similar.

Answers

Answer:

true

Step-by-step explanation:

The only postulates that will not prove congruence is AAA and SSA

PLEASE HELP ASAPPP!!! tank youuu

Answers

A~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

a

Step-by-step explanation:

The person above got it right give brainliest to her/he

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

How does the product of 4/5 and 7/7 compare to 4/5 ? Greater than less than or equal to ??

Answers

Answer:

It is equal to 4/5

Step-by-step explanation:

7/7 is 1 whole

4/5 times 1 is 4/5

Answer:

The answer should be equal to

Step-by-step explanation:

.8 multiplied by 1 will be .8

4/5=.8

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile

Answers

Answer:

34.5

Step-by-step explanation:

Given the data:

X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.

The 37th Percentile :

37/100(n + 1)th term

n = sample size = 32

Therefore,

0.37(32 + 1)th term

0.37(33)th term = 12.21 th term

(12th + 13th) term ÷ 2

(33 + 36) / 2

69 / 2

34.5

The 37th percentile is 34.5

The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)

Answers

Answer:

4.75 years are required to triple the population

Step-by-step explanation:

As we know

[tex]\frac{dP}{dt} = P\\[/tex]

Integrating both the side with respect to t we get

[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]

At t = 0, P = P0

[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]

substituting K value in main equation, we get -

[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]

4.75 years are required to triple the population

Factor as the product of two binomials.
x^2 - 3x +2=

Answers

Answer:

(x−1)(x−2)

Step-by-step explanation:

Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)

Answers

the answer is = -4c -2

For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

Answers

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

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]

18 percent are longer than 6.5 feet.

This means that [tex]p = 0.18[/tex]

A random sample of 90 sea turtles

This means that [tex]n = 90[/tex]

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164

Using the knowledge about central limit theorem, we will have what the proportion will be;

For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:

[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]

See more about proportion at brainly.com/question/2548537

Someone please help!!!!! i will mark brainliest :)

Answers

Answer:

you have to solve all of the equations i none square and then once you have all of the answers in each square, add them up and then solve the questions down below

Step-by-step explanation:

correct me if im wrong

CAN ANYONE HELP ME I WILL MARK AS BRAINLIEST
Solve the word problem and Write the statements.
Grade 3 students used three rolls of ribbons measuring 300 metres, 286 metres and 258 metres for dance in primary Concert. Find the total length of ribbons.

Answers

Total length of ribbons = 300+286+258
= 844 meters

Which pairs show equivalent expression

Answers

Hey blink!!!!!!! second one is your answer

PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic graphed?
-4 and 3
-3 and 4
0 and -6
0 and 6

Answers

the answer is -4 and 3

hope that helped

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can you guys help me pleasee this was due long time ago A portion of Raul's check register is shown. His checking account had a balance of $539.50 on April 2. Based on the information in the check register, what was the balance of Raul's checking account after the transaction on April 13 in dollars and cents? find the slope of the line that passes through the following points (10,4) (-2,-5) Changes in weather are caused by the movement and interaction of _______ ______________. What should I fill the blanks in with? The question below is an incomplete sentence. Choose the word that best completes the sentence.You can safely enjoy winter activities like sledding _______ you take the proper precautions. aif balthough cunless duntil List three unique examples of situations in your daily life where expansion and contraction occur. 2/3 5. Solve using a model. If you are ready, check your answer with a computation. Find the area of the larger rectangle. B2. Write any four alchemies of nature mentioned in the passage:(iv) A ring-shaped region is shown below.Its Inner radius is 11 cm, and its outer radius is 17 cm.Find the area of the shaded region. Use 3.14 for pi. Do not round your answer. Translate the following sentences into Spanish:Does Tabitha like drawing or playing the guitar more? What is $6 divided by $0.15 . In steps please In your opinion, how are African Americans treated by the criminal justice system today? How have things improved and what do you think requires further attention? Write a PARAGRAPH that explains your response. Use evidence from news events to support your answer. Aniyah has 12.9 pounds of pretzels. She puts the pretzels into bags that each hold 0.3 pounds. How many bags does Aniyah need to use to evenly distribute the pretzels? Sandra wants to park her car so that she optimizes the distance she has to walk to the art museum and the library. That is, she wants to park so that her total distance directly to each building is the shortest. Find where she should park. On Harriet's first attempt to escape, her brother got scared and turned around.O TrueFalse HELP PLEASEEEThe points (0, 2), (1, 3), (2, 6), and (3, 11) are on the graph of a function. Which of the following equations represents that function?A. h(x) = 0.5x^2 +1.5B. h(x) = x + 2C. h(x) = x^2 + 2D. h(x) = 2x^2 What economic effects did the Columbian Exchange have on Europe? Choose three correct answers.Investors became less wealthy.Merchants made fewer trade voyages.Spain gained wealth by trading silver with Asia.Europe became the center of the first global economy.Many European nations became wealthy through increased trade. avocadoPneumonoultramicroscopicsilicovolcanoconiosis find the measure of angle 8