Find the circumference of a circle with radius, r = 16m. Give your answer in terms of π .

Answers

Answer 1

Answer:

[tex]32\pi[/tex] meters

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:

[tex]C=2\pi r[/tex]

[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])

[tex]C=32\pi[/tex] (Simplify RHS)

Hope this helps!

Answer 2

We have,

Radius of the circle = 16 m

We know,

Circumference = 2πr

∴ Circumference = 2π × 16 m = (32π) m.


Related Questions

PLEASE HELP I WILL MARK BRAINLIEST IF CORRECT

Answers

It’s 75 degrees because it’s an isosceles triangle. Both angles are the same degree.

Graph the line with the equation y = 3x - 3.
Pleaseeee

Answers

Answer:

Graph the line using the slope and y-intercept, or 2 points.

Slope: 3

y-intercept: (0,-3)

PLEASE I NEED HELP i really need help on this please,

Answers

Answer:

P,R,Q i think

Step-by-step explanation:

what is the value of w

Answers

Answer:

ABCDEFGHIJKLMNOPQRSTUV*W*

Step-by-step explanation:

*W*ala kang jowa

Is - 4 the absolute value of 3 - 7? Explain.

Answers

Answer:

No

Step-by-step explanation:

This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?

There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

As per the given question,

There - 4 is not the absolute value of 3 - 7,

This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.

Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Learn more about the absolute value here:

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Lenny works at Lexus selling cars. His salary is $40,000 a year plus commission. He gets 1.25% commission on the cars he sells. Lexus cars are expensive and cost $50,000 each on average. After a year, Lenny sells $2,500,000 worth of cars. What is Lenny's total income after a year?

Answers

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250

PLEASE PLEASE PLEASE Solve the literal equation a+4b=5b-3a for a.

Answers

Answer:

a=b/4

Step-by-step explanation:

subtract 4b from both sides to end up with a=b-3a and then add 3a to both sides to get 4a=b, and divide both sides by 4 to get a=b/4.

Answer:

a + 4b + 5b - 3a can only be solved by a little.

Step-by-step explanation:

a + 3a =3a.

4b + 5b = 9b.

we can't solve 9b - 3a, since they have different functions, so 9b - 3a is the answer.

please help me please will give brainliest to anyone who is good


show your work ​

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]

1 1/4 × 5 = 6 1/4

Which comparison symbol makes each inequality statement true? Enter < , > , or = to make each statement true. Enter your answers in the boxes. −3.632 −3.792 |−3.632| |−3.792|

Answers

Answer:

−3.632 > −3.792

|−3.632| < |−3.792|

Step-by-step explanation:

Given :

−3.632 −3.792 |−3.632| |−3.792|

First comparison :

−3.632 −3.792

Using the knowledge of number line :

- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,

−3.632 > −3.792

2.)

|−3.632| |−3.792|

The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792

Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.

Hence,

|−3.632| < |−3.792|

A baseball team played 160 regular season games. The ratio of the number of games they won to the number of games they lost was three fifths. How many games did they​ win

Answers

Answer: They won 60 games and lost 100 games

Explanation: To find this, first, we need to keep in mind that for every 8 games they played, they won 3, and lost 5. With this, we need to do 160/8 and we will get 20. Finally, to find # of games won, we will do 3(20) which is 60, and to find # of games lost, we will do 5(20) which is 100. Hope this helped!

is y = –x + 5 linear or nonlinear

Answers

Answer: it is linear

Step-by-step explanation: A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1   for each of its variables. In this case, the degree of variable  y is 1 and the degree of variable x is 1

-3 + 7n = 39 for n.

A. -6
B. 2
C. 6
D. 8

Answers

Answer:

C. 6

Step-by-step explanation:

7n = 42

n = 6

hope this helps

Answer:

C. 6

Step-by-step explanation:

Given

-3 + 7n = 39

Solving for n

-3 + 7n = 397n = 39 + 37n = 42n = 42/7n = 6

Correct option is C. 6

What Is an exponent? ​

Answers

Answer:

a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Step-by-step explanation:

i need to find angle C, side length AB and side length AC

Answers

For example, the same angles could give you a triangle with sides 7-12-13, 35-60-65, or any other multiple. Find the third angle by subtracting from 180°. Then use the Law of Sines (28)★ twice to find the second and third sides. Use the Law of Cosines (31)★ to find the third side.Feb 19, 2018

The box plot for a set of test scores is shown below period which set of data is represented by the box plot?

Answers

3rd choice is answer

Step-by-step explanation:

The total surface area of this cuboid is 112cm^2. Find the value of x.
Please help, I’m really struggling.

Answers

Answer:

12544/20=627.2

Step-by-step explanation:

I might be wrong Sorry If I am

Answer:

3

Step-by-step explanation:

There are 56 m&ms in a bag. They are all red or blue with a ratio of 3:4. How many blue m&ms are there?
32
24
56
36

Answers

Answer:

32

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

Answer:

[tex]\huge\boxed{\sf 32\ m\&ms}[/tex]

Step-by-step explanation:

Red m&ms = 3x

Blue m&ms = 4x

Condition given:

3x + 4x = 56 (x being the unknown)

7x = 56

Divide 7 to both sides

x = 56 / 7

x = 8

So,

Blue m&ms = 4 (8) = 32 m&ms

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

1) Work out the value of x.
2) Give reasons for your answer.

Please!

Answers

Answer:

x = 60

Step-by-step explanation:

Since the 3 sides of the triangle are congruent, then the triangle is equilateral with interior angles congruent and equal to 60°

x and the angle on the right of the triangle are alternate and congruent, so

x = 60

Solve 5x + 2y = 7 for "y".

Answers

Answer:

y= 7/2-5x/2

Step-by-step explanation:

5x+2y=7

2y=7-5x

y= 7/2-5x/2

How to put 1/25 as fraction simplified

Answers

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

https://brainly.com/question/10708469

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HELP URGENT 20 POINTS WILL MARK BRAINLIEST

Answers

Answer:

80 miles in 4 hours

Step-by-step explanation:

fx = 20x-80

20x=80

20x/20=80/20

x = 4

Look at the picture!
Please I need help!

Answers

The rule would be y=2x+5 for the table.

Sarah flips a coin and spins a 4 section spinner. Which table shows the sample space?

Answers

Answer:

The first bullet

Step-by-step explanation:

it has heads with the colors & also the same for tails

Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down

Answers

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

Please answer. I NEED I WILL MARK BRAINLY

Answers

Answer:

Step-by-step explanation:

Just multiply what the equation equalds by the divosor

Answer:

1. 2587.3

2. 25873

3.25873000

4. 258730000

Step-by-step explanation:

Harold wants to borrow $1,400 for 5 years. The interest rate is 9%. How much interest will he pay over the course of the loan?

Answers

Answer: He will pay $630 over the course of the loan.

Step-by-step explanation:

Formula for simple interest :

S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)

As per given ,

P = $1,400 ,  t = 5 years , r = 9% = 0.09

Simple interest = (1400) x (0.09) x (5)

⇒ Simple interest = $ 630

Hence, he will pay $630 over the course of the loan.

Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of the box that would yield the maximum volume? What is the maximum volume given a girth of 20 cm? Use a graphing calculator to determine the width that provides the maximum volume, round to the nearest tenth.

The width of the box is __________cm
The maximum volume is __________cm3

Answers

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]

Given that 6.[tex]\overline 6[/tex] > 0, we have;

At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm

The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm  as follows;

V = 10·w² - w³

[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]

The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

find the slope of the line
plzzz will give brainliest ​

Answers

Answer:

-2/3

Step-by-step explanation:

Find two points and count the x and y axises between them.

(hope this helps!)

a line is graphed
what is the slope ?

Answers

1/2 is the slope and remember rise/run

Need help ASAP pls. Need it asap

Answers

Answer:

sin x = 39/89       cos x = 80/89     tan x = 89/80

Step-by-step explanation:

SOA  CAH  TOA

sin = opp/adj

cos = adj/hyp

tan = opp/adj

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