find the measure of the line segment RQ​

Answer:

The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]

Step-by-step explanation:

The Volume of a Cylinder

Given a right cylinder of base radius r and height h, the volume is calculated as follows:

[tex]V=\pi r^2h[/tex]

We are given the dimensions of a cylindrical metallic pipe whose external diameter is de=12 cm and the internal diameter is di=8 cm. The height is h=21 cm.

The volume of the metal used in making the pipe is the difference between the external volume and the internal volume.

Calculating the external volume:

[tex]V_e=\pi r_e^2h[/tex]

[tex]V_e=\pi 12^2*21[/tex]

[tex]V_e=3,024\pi\ cm^3[/tex]

Calculating the internal volume:

[tex]V_i=\pi r_i^2h[/tex]

[tex]V_i=\pi 8^2*21[/tex]

[tex]V_i=1,344\pi\ cm^3[/tex]

The volume of metal is:

[tex]V_m=V_e-V_i=3,024\pi\ cm^3-1,344\pi\ cm^3[/tex]

[tex]V_m=1,680\pi\ cm^3[/tex]

The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]

Answer:

It’s y = 3

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

Answer:

Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:

1)

320 - (320 x 15/100) = X

320 - 48 = X

272 = X

2)

349.49 - (349.49 x 75/100) = X

349.49 - 262.11 = X

87.37 = X

3)

280 = X

Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

Answer:

option C

Step-by-step explanation:

Group common terms

8u³+7u³+7u²-6u+6+6

15u³+7u²-6u+12

Answer:

☆This is because ascending, not descending when looking on a graph.

☆The slope's number is a positive number.

9514 1404 393

Answer:

Step-by-step explanation:

a) You go about this by using the given equation.

  Left + Right = Total

  JK + KL = JL

  (2x -3) + 11 = 4x

  8 = 2x . . . . . simplify, subtract 2x

  4 = x . . . . . . divide by 2

__

b) JL = 4x = 4·4

  JL = 16

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

[tex]Width = 2wice\ Length[/tex]

Required

Determine the dimension.

This is calculated as :

[tex]Area = Length * Width[/tex]

[tex]A = L * W[/tex]

So:

[tex]A=L * 2L[/tex]

[tex]A=2L^2[/tex]

Substitute 72 for A

[tex]72=2L^2[/tex]

Divide bith sodes by 2

[tex]36 = L^2[/tex]

Take square root of both sides

[tex]L = 6[/tex]

Recall that:

[tex]Width = 2 * Length[/tex]

Hence:

[tex]LEnhth= 0 * 2[/tex]

[tex]LEnhth= 2[/tex]

Hence, the dimension is: 2 by 3 inches

Answer:

y = 2x

Step-by-step explanation:

Y = 2x

Answer:

Step-by-step explanation:

Then the other angle must be 44 degrees as well.

Answer:

x=14

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

10x + 5y = 50

Step-by-step explanation:

Answer:

Yes, because a triangle can have any lengths.

Answer:

1 apple: 24 people

2 apples: 12 people

3 apples: 8 people

4 apples: 6 people

6 apples: 4 people

8 apples: 3 people

12 apples: 2 people

24 apples: 1 person

Step-by-step explanation:

The number of 6 people can have 4 apples each.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Priya is sharing 24 apples equally with some friends.

She uses division to determine how many people can have a share if each person gets a particular number of apples.

For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,

then 6 people can have apples,

= 24 ÷ 6

= 4

Therefore, 6 people can have 4 apples.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

A is false

Step-by-step explanation:

A triangle can be drawn with exactly 1 acute angle. FALSE

A triangle can be drawn with exactly one right angle. TRUE

A triangle can be drawn with more than one acute angle. TRUE

A triangle can be drawn with exactly one obtuse angle. TRUE

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

Answer:

14

Step-by-step explanation:

Answer:

Finding the error for each observation, squaring the error and minimizing the sum

Step-by-step explanation:

The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.

The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.

Answer:

Following are thew solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]  

[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]

[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]

     [tex]= 8.342943396\\\\[/tex]

[tex]n = 69.6047045[/tex]

   [tex]= 70[/tex]

Using the sample size formula, the number of samples required is 919.

From the data given :

Using the sample size relation thus:

Substituting the values into the equation :

[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]

[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]

Hence, the sample size required is 919.

Learn more : https://brainly.com/question/25609130

Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

Answer:

8274

Step-by-step explanation:

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

Answer:

7 metre

Step-by-step explanation:

Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-

(x+2).x. = 63.

or, x^2 +2 x - 63 = 0.

or, (x + 9).(x -7) =0.

or, x = - 9 (not valid) , 7 .

Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.

hope it helps! please mark me brainliest..

Merry Christmas good day

Answer:

what're we supposed to do?

Step-by-step explanation:

Step-by-step explanation:

provide more details, please

Answer:

um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.

Answer:

u = -25/7

Step-by-step explanation:

-7(u + 3) = 4

-7u -21 = 4 (distribute the -7)

-7u = 25 (add 21 to get -7u by itself)

u = -25/7 (divide by -7 by both sides to find the value of u)