A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.

A. 40 meters
B. 20 meters
C. 4 meters
D. 10 meters

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The length of the arc subtended by a central angle of 4 radians = 20 m

Diameter of the circle = 10 m

Radius of the circle = 5 m

Central angle in radians = 4 radians

The length of arc for the circle can be determined by the formula as formulated in equation (1)

[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]

From equation (1) we can write that

[tex]\rm L = 5 \times 4 = 20 \; m[/tex]

The length of the arc subtended by a central angle of 4 radians = 20 m

For more information please refer to the link given below

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Related Questions


The ratio of the length to the width of a rectangular field is 3 to 2. If the field is 150 yards long, how wide is the field?

Answers

Answer:

The field is 100 yards wide.

Step-by-step explanation:

Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:

((150/3) x 2) = X

50 x 2 = X

100 = X

Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.

At a concession stand seven hotdogs And four hamburgers cost $15 . Four hotdogs and seven hamburgers cost $18 . Find the cost of one hotdog in the cost of one hamburger.

Answers

Answer:

so hamburgers would be 2$ a peice

hotdogs wll be 1$ a peice

Step-by-step explanation:

Helppppppppp pleaseeeee

Answers

answer: c

hope that helps! that was the most reasonable answer

Which way shows one way you can decompose 15 to find 42 x 15?
A. О (42 + 10) (42 + 5)
B. O (42 + 10) + (42 + 5)
C.O (42 x 10) + (42 * 5)
D. O (42 x 1) + (42 x 5)

Answers

Answer:

42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers

Step-by-step explanation:

Notice that using distributive property we can write:

42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers.

16 1/9+ -4 2/3 help please??

Answers

Answer:

11 4/9

Step-by-step explanation:

ANDDD the answer is

Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly

Answers

Answer:

The probability is 0.28157

Step-by-step explanation:

The number of answers are 40 answers ( 10 questions and 4 answer each)

The number of correct answers is only 10

So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers

The probability will be;

10 C 2/ 40 C 10

This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10

The probability of selecting a correct answer is;

1/4 while the probability of selecting a wrong one is 3/4

So probability of selecting 2 correct out of a total 10 will be

10 C 2 (1/4)^2 (3/4)^8

= 0.28157

The ratio of students to laptops in a school is 3:2. If there are 1200 students,how many laptops are there

Answers

1200/3=400
400x2=800
Answer=800 laptops

ANSWER QUICK PLEASE!!!! BRAIN LIST AND POINTS

Find the measure of x
Q
s
15(x+1)
150
T
Ox=1
Ox=9
-Ox=10
Ox=11

Answers

Answer:

x = 9

Step-by-step explanation:

The two angles are alternate exterior and has same measurement

15(x+1) = 150 divide both sides by 15

x + 1 = 10 subtract 1 from both sides

x = 9

What is the image of Y(-4, 7) under the translation vector (3,-5) ?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

(-4, 7) under translation (3,-5)

(-4+3, 7-5) so is (-1, 2)

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrre

Answers

Answer:

??

Step-by-step explanation:

|2| + |-13| =

BRAINLIST AND EXTRA POINTS

Answers

Answer:

15

Step-by-step explanation:

|2| + |-13| =

2+13

15

Answer:

I think I might be 15

Step-by-step explanation:

I looked it up on google

How many interior angles in this polygon

Answers

i believe it has 8 angles, each are 135 degrees
sorry if its wrong

Answer:

8

Step-by-step explanation:

I might be wrong

There are 5 rows of chairs with c chair in each row. Choose the expression that shows the number of chairs in total

Answers

Answer:

5(c)

Step-by-step explanation:

The number of chairs are being multiplying by each row.

If you need more help here's info.

Long multiplication is a method of multiplying two numbers which are difficult to multiply easily.

For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer.

55 × 2 = 110 and 55 × 20 = 1100.

But, many a time finding the product is not this easy. At such times we use the long method of multiplication.

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

5)c
Get it on Edge2020
Hope this help<3

Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year?

Answers

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).  

[tex]\$500\times4\%=\$20[/tex]

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

Answer:

Step-by-step explanation:

see the image bellow please help 30 points

Answers

The answer is 173 cubic inches

A student wants to graph his earnings for each week during the next calendar year. He wants to see how his earnings change
from week to week as the year goes on. Which type of graph is the most appropriate?
line graph
O circle graph
box-and-whisker plot

Answers

Answer:

Step-by-step explanation:

Line graph

The line graph is the most appropriate.

What is graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

To monitor changes over both short and long time periods, line graphs are utilized. Line graphs perform better than bar graphs when there are smaller changes. Line graphs can be used to compare changes for multiple groups over the same time period.

Therefore, the line graph is the most appropriate.

To learn more about the line graph;

https://brainly.com/question/23680294

#SPJ5

An architect's scale drawing of a new school is 8,4 inches
long. The scale used in the drawing is 2 inches = 8 feet,
What is the actual length, in feet, of the school?

Answers

Answer:

Step-by-step explanation:

2=8 feet sooo

8/4=2 2x2=4 4x8= 32 4x4=16 sooo 32, 16 feet :) hope dis helps

Jason found a recipe for Spanish tacos. Each taco requires 2/5 cup of rice.Jason has 6 cups of rice how many tacos will he be able to make? Create a tape diagram to find the solution

Answers

Answer:

He will be able to make 15 tacos.

Step-by-step explanation:

Divide 2 by 5 to get 0.4, Then divide 6 by 0.4 to get 15.

Unfortunately, I cannot help you with the diagram.

. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?

Answers

Answer:

The largest number of glasses of juice Isabella can have from the carton is 8.

Step-by-step explanation:

Ratios

Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

[tex]\displaystyle n=\frac{Ct}{Co}[/tex]

There are 1,000 milliliters in one liter, thus the carton has a capacity of

C t= 1.75*1,000 = 1,750 milliliters

Thus,

[tex]\displaystyle n=\frac{1,750}{200}[/tex]

n=8.75

Since we cannot have 8.75 glasses, we round to the previous integer, then:

The largest number of glasses of juice Isabella can have from the carton is 8.

Answer this question correctly

Answers

Answer:

x = 3 - 3/2y

y = 2 - 2/3x

Step-by-step explanation:

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3/2y

2x + 3y = 6

3y = 6 - 2x

y = 2 - 2/3x

Answer:

Slope=−1.333/2.000=−0.667

x−intercept=3

y-intercept=2

Step-by-step explanation:

HOPE THIS HELPS!!

A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day for $128 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x)

Answers

Answer:

[tex]C(x) = 118 + 11 x[/tex] -- Acme

[tex]C(x) = 128 + 9 x[/tex] --- Bell

Step-by-step explanation:

Given

Acme:

[tex]Daily = 118[/tex]

[tex]Hourly = 11[/tex]

Bell:

[tex]Daily = 128[/tex]

[tex]Hourly = 9[/tex]

Required

Determine the cost function for both

The cost function can be determined using the following illustrations:

Daily Rate + Hourly Rate * Number of Hours

Represent the number of hours with x

So, we have:

For Acme:

[tex]C(x) = 118 + 11 * x[/tex]

[tex]C(x) = 118 + 11 x[/tex]

For Bell:

[tex]C(x) = 128 + 9 * x[/tex]

[tex]C(x) = 128 + 9 x[/tex]

5. This year's enrollment in Mesa School District is

6,000, which is 20 percent higher than last year's.

What was last year's enrollment in Mesa School

District?

Answers

Answer:

The enrollment last year was 5,000

Step-by-step explanation:

Here, we have the enrollment this year higher than what we have last year by 20%

So we want to know the enrollment last year

Let the enrollment last year be x

Mathematically, the enrollment this year will be;

x + 20% of x = 6,000

Thus;

x + (20/100 * x) = 6000

x + 0.2x = 6000

1.2x = 6,000

x = 6,000/1.2

x = 5,000

At a given time, the length, L, of the shadow of an object varies directly
as the height of the object, H. If the shadow is 27 ft when the height of
the object is 12 ft, what is the height of the object if the shadow is 18 ft?

Answers

Answer:

8 ft

Step-by-step explanation:

Use the direct variation equation, y = kx, where k is a constant.

Change the equation to fit the variables: L = kH

Plug in the given length of the shadow and the height of the object, then solve for k:

L = kH

27 = k(12)

2.25 = k

So, the equation is L = 2.25H

Then, plug in 18 as L, and solve for H:

L = 2.25H

18 = 2.25H

8 = H

So, when the shadow is 18 feet, the height of the object is 8 ft

Which trig ratios are equivalent to 10/26? Select all that apply. *

sin A
cos A
tan A
sin C
cos C
tan c

Answers

Answer:

cos A

sin C

Step-by-step explanation:

cos is adjacent/hypotenuse

adj of A is 10, hyp is 26 so = 10/26

sin is opposite/hypotenuse

opp of C is 10, hyp is 26 so = 10/26

Adeline buys 8 packs of Fun Gum. Each pack has 7 pieces of gum. Marisol buys Juicy Gum. Each Juicy Gum pack has 9 pieces of gum.Adeline has 11 more pieces of gum than Marisol. How many packs of gum did Marisol buy?

Answers

Answer:

The number of packs is 5.

Step-by-step explanation:

Let the number of juicy packs of gum bought by Marisol be represented by n.

Adeline bought 8 packs of Fun gum with each pack containing 7 pieces of gum.

Total number of gums has Adeline = 8 x 7

                                                          = 56

Total pieces of gum has Marisol = n x 9

                                                      = 9n

Given that Adeline has 11 more pieces of gum than Marisol, thus;

56 = 9n + 11

56 - 11 = 9n

45 = 9n

n = [tex]\frac{45}{9}[/tex]

n =  5

The number packs of juicy gum bought by Adeline is 5 and total pieces of his gum is 45.

2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __

What is the pattern?

Answers

Answer:

9, 14, 11, 17, 13, 20, 15

Step-by-step explanation:

so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)

that literally makes no sense aha

I want a clear solution an explanation of how to solve this, please.

Answers

Answer:

the answer is (4,7).

How is the daily balance method different from compounding interest daily?


a. Unlike daily compound interest, the daily balance method only applies charges at the end of

the month.

b. The daily balance method rounds less frequently than daily compound interest.

C. The daily balance method checks your balance at the end of each day, but daily compound

interest checks at the beginning of each day.

d. It is not different. The two processes are the same.

Please select the best answer from the choices provided

Answers

Answer:

a on edge 2021

Step-by-step explanation:

We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.

What is compound interest?

Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.

Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.

Learn more about compound interest on https://brainly.com/question/24924853

I need help. Thanks!

Answers

Answer:

The answer is B

Step-by-step explanation:

it is in the middle, and in both triangles

Answer:

A. (A)

Step-by-step explanation:

The answer is A. A is the center of the dilation of the triangle

Can someone help me find x.

Answers

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

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