The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :

Answer:

Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20

Step-by-step explanation:

720*20 = 14440

Answer:

143.8 m²

Explanation:

Surface Area of cylinder = 2πr(r + h)

Here given,

Surface Area of cylinder:

⇒ 2π(1.6)(1.6+ 12.7)

⇒ 174.2955 m²

⇒ 143.8 m²        (rounded to nearest 1 decimal place)

Answer:

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Step-by-step explanation:

Suppose number is x

The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of the product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

The sum of square of a number and five times that number is no more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum

x² + 5x

Step 4

Is no more than 46

x² + 5x ≤ 46

The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Answer:

Perimeter = 18(1 + √3 ) cm

Step-by-step explanation:

The radius of each ball = 1/2 * 6 = 3 cm.

Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).

If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.

If the adjacent side of a triangle  ( which is part of the side of the big triangle) = x:

tan 30 = 3 / x

x = 3 / tan 30

=  3 / 1/√3

=   3√3 cm.

There are 6 of these sides in the big triangle so their total length =

18√3 cm.

The three 'middle' sides joining 2 billiard balls  each have a length of  2 radii = 6 cms   ( as they form a rectangle with the radii of 2 billiard balls).

So the perimeter of the triangle = 18√3 + 3(6)

= 18(1 + √3 ) cm

I would have liked to transfer a diagram but I can't get to copy it to this site.

Answer: 3 [tex]\frac{1}{3}[/tex] liters

Step-by-step explanation:

     We will set up a proportion to help us solve.

[tex]\displaystyle \frac{10 \text{ liters of fruit juice}}{x\text{ liters of lemon soda}} =\frac{3 \text{ liters of fruit juice}}{1\text{ liters of lemon soda}}[/tex]

    Now we will cross multiply.

10 = 3x

    Lastly, we will divide both sides by 3.

3 [tex]\frac{1}{3}[/tex] = x

       She will need 3 [tex]\frac{1}{3}[/tex] liters of lemon soda.

Answer:

the answer to this question is 184cm^2 because the formula to find the area for a rectangular prism is A= BH so  we need to multiply 20 which is the base times 9.2 which is the height and when we do those steps of multiplying we get an answer of 184cm^2 so 184 cm^2 is hopefully the correct answer for this problem.

Step-by-step explanation: hopefully that is the correct and have a great day.

Answer:

-2 and -3

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

Answer:15

Step-by-step explanation:

96÷2=48

63-48=15

So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.

Answer:

10 stamps

Step-by-step explanation:

Let n = the number of stamps Sam gives Peter.

63 - n is the number stamps Sam has after giving some of them to Peter.

Peter starts with 96 stamps.

After Sam gives Peter n stamps, Sam will have 96 + n stamps.

2(63 - n) = 96 + n

126 - 2n = 96 + n

-3n = -30

n = 10

Answer: 10 stamps

The type of number -5.41 is is an rational number.

A rational number is a number that can be expressed as a fraction of two integers. 5.41 can be expressed as -5.41 / 1000.

An integer and whole number is a number that does not have any fraction or decimal. -5.41 is a decimal number, thus it is not an integer and a whole number.

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Answer:

B

Step-by-step explanation:

from right angle triangle we know

(greater side)=√one side^2+remaining side^2

130=√78^2+104^2

130=130

hence b is correct

Answer:

m + (m+4) + (m-2) = 20 or 3m + 2 = 20

Step-by-step explanation:

Answer:

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

Answer:

the chosen topic is not meant for use with this typ of problem try the examples below

Step-by-step explanation:

Answer:

option A infinite rational values of x greater than 500

Step-by-step explanation:

i just finished the quiz on edge

Answer:

x = 77

Step-by-step explanation:

x and 103 are same- side exterior angles and sum to 180°

x + 103 = 180 ( subtract 77 from both sides )

x = 77

Step-by-step explanation:

where is the figure and question

Answer:

i think its 8z-9 if im not wrong :)

Step-by-step explanation:

Answer:

50.24sq units

Step-by-step explanation:

4^2=4x4

4x4=16

16x3.14=50.24

The amount of time that she is expected to stay in the system is; 7.5 Minutes

We are given;

The average number of arrivals of customers, λ = 12 students/hour.

The average service rate of a single server; μ = 20 students/hour.

The average of an exponential distribution is given by the formula:

E(X) = 1/μ

However, the amount of time that she is expected to stay in the system is;

t = 1/(μ - λ)

t = 1/(20 - 12)

t = 0.125 hours

Converting to minutes gives;

t = 0.125 * 60

t = 7.5 minutes

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The expression that shows the granola bars Todd bought is 12g.

The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Given: Todd bought g boxes of granola bars.

There are 12 granola bars in each box.

Let g be the boxes of granola bars.

Therefore, the expression that shows the granola bars Todd bought is 12g.

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Answer:

“teenager protagonists confronting horror”

Step-by-step explanation:

Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.

Answer:

I love sleep

Step-by-step explanation:

Answer: 11.2

I found the answer in the comments and figured I should make it an answer, so it's easy to find:)

<3

The sum of function is a way of adding two or more functions together

The values of x for which f(g(x)) = 0 are -2/3 and -1/3

The sum of function is a way of adding two or more functions together

Given the following functions

f(x) = x² - 2x

g(x) = 6x + 4

f(g(x) = f(6x +4))

f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3

Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3

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Answer:

3.2 and 3.92

Step-by-step explanation:

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.

Answer:

$15.86

Step-by-step explanation:

Answer:

h=5/18

Step-by-step explanation:

Hi there!

If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.

Answer:

[tex]\boxed{h=\dfrac{5}{18}}[/tex]

Step-by-step explanation:

[tex]\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}[/tex]

1. Subact  [tex]\dfrac{1}{2}[/tex]  from both sides:

[tex]\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}[/tex]

2. Divide both sides by -1

[tex]\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}[/tex]

Final answer: [tex]\boxed{h=\dfrac{5}{18}}[/tex]

Hope this helps!

Answer:

10y - 70z + 10.

Step-by-step explanation:

10(y-7z+1)    Multiply each term in the brackets by 10:

= 10y - 70z + 10

The information about the mean and median shows that the females have more number of haircuts than the males.

It should be noted that a mean simply means the average of a set of numbers that are given in a data.

In this case, the information about the mean and median shows that the females have more number of haircuts than the males.

This is depicted since the mean of females is 52.53 and the mean of males is 20.13.

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