The longer side of a rectangle has a length of 10. the rectangle is rotated around line k at this side. rectangle abcd has a perimeter of 32 units and will be rotated about line k. what is the three-dimensional solid created? what is the radius of a base?

Answers

Answer 1

The radius of the base after rotating the rectangle will be 5

What is the radius of the base?

Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.

Let's calculate its radius from the perimeter;

[tex]2p=32[/tex]

[tex]2(b+h)=32[/tex]

[tex]b+h=16[/tex]

[tex]b=16-h[/tex]

Also, [tex]bh=60[/tex]

Thus;

[tex]h(16-h)=60[/tex]

[tex]h^2-16h+60=0[/tex]

Using the online quadratic formula, we have h = 6

Thus; b = 16 - 6 = 10

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.

Thus the radius of the base after rotating the rectangle will be 5

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Answer 2

Answer:

cylinder and 6 units

Step-by-step explanation:

on e2020


Related Questions

1 The graph below shows a relationship between x and y. } ​

Answers

Answer:

C. 1/2x +2

Step-by-step explanation:

We can see in the graph that the value of y for 2 its 3, so we have to test each equations to see which one is going to give us a 3 whit 2 as the x.

A.  2x2=4   (4≠3)B.  2+2=4    (4≠3)C.  1/2 x 2+2=3 D.  2x2+1/2= 4.5   (4.5≠3)

Lesson name: I write/solve systems of linear equations word problems
Problem: Tickets for the school play sell for $3 for a student and $5 for an adult. one night, 595 people bought tickets for a total sale of $1951. how many adults and how many student tickets were sold?
Let S=#of student tickets
Let A=#of adult tickets
Equation= 3s+5a=1951

Answers

Answer:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

Step-by-step explanation:

Long division calculator with decimals shows the work step by step. Solve long division with decimal numbers. Calculate the quotient showing long division ...

A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?

Answers

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.

It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.

And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.

We know,

[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],

And daily allowance of 2400 mg of sodium

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

[tex]z = \frac{2400 - 2000}{500}[/tex]

z = 0.8

Probability value from Z-Table:

[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]

Converting to percentage:

[tex]= 0.21186 (100)\\= 21.186%[/tex]

Therefore, the percent of the meals  ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.

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What is that decimal value of 4/11

Answers

0.3636 you just do 4 divided by 11

Answer:

0.3636

Step-by-step explanation:

Suppose A,B,C and D are different points on the same line. How many segments have endpoints at these points?

Answers

A an end point at the being n D an end point at the end

The number of line segments that can be formed on the same line is A = 6

What are Combinations?

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

If A, B, C, and D are different points on the same line, then the number of line segments with endpoints at these points can be calculated by counting the number of ways to choose 2 points from the 4 points.

The number of ways to choose 2 points from 4 points is given by the binomial coefficient 4 choose 2, which is:

So , the combination is ⁴C₂

4 choose 2 = ⁴C₂ = (4!)/(2!(4-2)!) = (4 x 3)/(2 x 1) = 6

Hence , there are 6 line segments with endpoints at A, B, C, and D.

To learn more about combinations click :

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What value of x makes this equation true?
2x = 4x – 10

Answers

Answer:

5

Step-by-step explanation:

2x = 4x - 10

4x - 2x = 10

2x = 10

x = 10/2

X = 5

2(5) = 4(5) - 10

10 = 20-10

10=10

Answer:

x = 5

Step-by-step explanation:

put x on one side (subtract the x on the left from both sides)

-2x = -10

divide the extra number with the x from both sides

x = 5

hope this helps!

have a wonderful day :)

What is the difference between a copay and coinsurance?

Answers

Answer:

A deductible is the amount you pay for a service before the plan shares the cost of the service with you. A copay is a set amount you pay for the service. Coinsurance is when you pay a percentage of the cost for an item or service.

Q. Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the
percent of change?

Answers

Answer:

16.67%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

30/180

The number above the bar is the numerator: 30

The number below the bar is the denominator: 180

Divide the numerator by the denominator to get fraction's value:

Val = 30 ÷ 180

30/180=16.666666667

16.666666667= 16.67%

Answer:

16.67

Step-by-step explanation:

pls solve both questions for brainliest :)​

Answers

Answer:

b n=5

c. n=4

Step-by-step explanation:

Nicky spent $43.50 to buy 5 pairs of gloves and 5 pairs of socks. If a pair of gloves cost $3.50, what was the price of a pair of socks

Answers

Answer:

its $5.20

Step-by-step explanation:

5.20 This is the answer I hope you get it right

What is the formula for area?

A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height

I need help, i will give points.

Answers

Assuming that the area is the area of a rectangle or square…
Then it is B
Area = length x width

Can someone please help me?​

Answers

Step-by-step explanation:

the upper answered person is correct

kindly give her brainlist

thw

Shaun's parents agreed to pay 2/5 of the cost of a
bike, if he was able to save the rest. If his parents
gave him $92, how much did the bike cost?

Answers

Answer:

The bike was $230

Step-by-step explanation:

If 2/5 is $92 you can divide 92 by two like so,

92 ÷ 2 = 46

So ONE fifth is 46 to find out the total (5/5) you multiply by 5 so it would turn up like this,

46 × 5 = 230

The bike was $230

Hope that helps and have a great day!

Solve for X. Show your work.

Answers

Answer:

x=9

Step-by-step explanation:

since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9

The function f(x) is shown on the provided graph.

Graph the result of the following transformation on f(x). F(x)+6

Answers

Answer:

Step-by-step explanation:

the answer is in the attachment below the graph.

I need help on this question

Answers

Answer:

[tex]-\frac{21}{2} < x < -5[/tex]

Solve the inequality

[tex]-3 < 2x+18 < 8[/tex]

Separate compound inequalities into system of inequalities

[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex]               [tex]2x-18 < 8[/tex]

Rearrange variables to the left side of the equation

[tex]2x > -3-18[/tex]                       [tex]2x < 8-18[/tex]

Calculate the sum or difference

[tex]2x > -21[/tex]                              [tex]2x < -10[/tex]

Divide both sides of the inequality by the coefficient of variable

[tex]x > -\frac{21}{2}[/tex]                                [tex]x < -\frac{10}{2}[/tex]

Cross out the common factor

                                           [tex]x < -5[/tex]

[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]

Find the intersection

[tex]-\frac{21}{2} < x < -5[/tex]

I hope this helps you

:)

please help Thank you To anyone that helps

Answers

the surface area of the rectangular prism is 102.16 sq inches

Item 12
SA−→ bisects ∠RST and m∠RST=54.2∘. Find m∠RSA and m∠AST.

Answers

Answer:

m∠RSA is 27.1° and m∠AST is 27.1°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle

In the given question

∵ Ray SA bisects ∠RST  

→ That means it divides it into two angles RSA and AST

∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST

∵ m∠RST = 54.2°

→ Multiply its measure by   to find the measures its parts

∴ m∠RSA =  [tex]\frac{1}{2}[/tex] × 54.2°

m∠RSA = 27.1°

∴ m∠AST =  [tex]\frac{1}{2}[/tex] × 54.2°

m∠AST = 27.1°

Simplify 3(-6+8i)-(2-12i)​

Answers

Answer:

-20+12i

Step-by-step explanation:

(-18+24i)-(2-12i)

-20+24i-12i

-20+12i

i = -1.666 or -1 and 2/3

Answer:

-20+11i

Step-by-step explanation:

3(-6+8i)-1 (2-12i)

-18+24i -2-13i

-20+11i

PLEASE HELPPPPPPPPPPPPP

Answers

Answer:

sure.. 16pi

Step-by-step explanation:

use the equation

[tex]a = \pi \: {r}^{2} [/tex]

[tex]radius = diameter \div 2[/tex]

r = 8÷2 = 4 ft

[tex]a = \pi \times {4 }^{2} [/tex]

[tex]a = 16 \: \pi[/tex]

Which is a factor of 6x2 x − 7? x 1 2x 1 6x 7 3x 7

Answers

The factor of the polynomial 6x² + x − 7 using factorization is (x − 1) and (6x + 7). Then the correct option is C.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given as 6x² + x − 7

On factorization, we have

6x² + x − 7

6x² + 7x − 6x − 7

x (6x + 7) −1 (6x + 7)

(x − 1)(6x + 7)

More about the factorization link is given below.

https://brainly.com/question/6810544

find the slope of the line that passes through the points (1, -4) and (3, -1)

A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2

Answers

Answer:

e

Step-by-step explanation:

1,-4

3,-1

-1-(-4) = 3

3-1 is 2

slope is 3/2

The answer is E)))

Bc you take (y2-y1) and (x2-x1) and it will give you (3) for your Y and (2) for your X

Can sombody please help me solve this: x + 14 = 7x + 32 – 3x

Answers

x+14 = 7x+32-3x

x+14 = 4x+32

-x          -x

14 = 3x+32

-32       -32

-18 = 3x

/3        /3

-6 = x

x = -6

Answer:

x=-6

Step-by-step explanation:

x+14=7x+32-3x

x+14=7x-3x+32 group like terms

x+14=4x+32 add similar element

x+14-14=4x+32-14 subtract 14 from both sides

x=4x+18 simplify

x-4x=4x+18-4x subtract 4 from both sides

-3x=18

then divide both sides by 3

and then simplify

then u get x=-6

Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route.
The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed.
Both groups reach Camp B at 4:00 PM. How fast does each group hike?

Answers

Answer:

6 and 4 because its correct 100%

Step-by-step explanation:

Simplify (27x^3-64/3x-4)

Answers

Answer:

9x² + 12x + 16

Step-by-step explanation:

(27x³ - 64) / (3x - 4)

= (3x - 4)(9x² + 12x + 16) / (3x - 4)

= 9x² + 12x + 16

9x^2 + 12x + 16

Have a nice day :)

4 (-3x+ 6)=4 (-3x) + 4 (6)

Answers

Answer:

I think its 0= 0

Step-by-step explanation:

e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?

Answers

Answer:

372

Step-by-step explanation:

Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:

714 - 342 = 372

Fill in the missing statement and reason of the proof below.

Given: \overline{AC} \perp \overline{BD}
AC

BD
and \angle ABD \cong \angle CBD.∠ABD≅∠CBD.

Prove: \triangle ABC△ABC is an isosceles triangle.

Answers

Answer:

b

Step-by-step explanation:

it’s b on edge

pls I'm begging for help T-T

Answers

Q1. I will use team A's results to claim that their shoes are larger because   the mean of team A is 13.92 whereas the mean of team B is 12.83.

Q2. I will use team B's results to claim their shoes are larger because the table of team A stops at 16, however team B's top shoe size is 18, therefore team B has the largest shoe size.

Q3. Both teams have the same average shoe size because the results are only 1 size away from each other most times.

(sorry about Q3 I'm not entirely sure about that one.)

Answer:

b is 23.7

a is 17.6

d is 9m8

Step-by-step explanation:

these are based on my calculations

hope i helped :)

coach P is deciding which job he would like to take. Job A will pay him time bonus of $10,000 plus $500 per day. Job B will pay him a one time bonus of $17,000 plus $300 per day. How many days would Coach P have to work for the two job offers to pay the same?

Answers

Answer:

35 days

500x35=17500

17500+10000=27500

300x35=10500

10500+17000=27500

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For each of the following cash flows amounts ($ millions), identify whether the company is in the introduction, growth, maturity, or decline stage of its life cycle. Company Operating Investing Financing Cash Flow Cash Flow Cash Flow a $72 $2,007 $(813) b 7 (528) 878 c (2,578) (4,198) 7,461 d (407) 5,583 (2,404) e 2,283 (3,449) 1,909 f 6,336 3,222 (2,006) g (403) (1,726) (3,516) h 3,704 (2,438) 1,332 Select the correct answerDarla is gathering information on the rules of soccer. Which source gives the most recent information?A.a rulebook published for an upcoming soccer matchB.a video showing mistakes players make in soccer gamesOc.an article ranking the most important rules in soccerD.a website describing the first published rules of soccer H+OHGS-O-HHN-HHSingle Bond 1Select the correct answer.Why does Faustus originally ask Mephastophilis to bring him Helen of Troy?A.Faustus fell in love with her picture and wanted to marry her.B.Faustus's friends asked him to show them Helen of Troy.Faustus lusted after Helen and wanted to possess her.OD.Faustus had made a bet with his friends that he could get her. 1 over 7 of 2 over 5 is equal to you already know i dont have much time WHO LIKES URARAKA, PINK CHEEKS, THE GIRL WHO SCREWS WITH GRAVITY Given the function f(x) = 5x -1, what is the value of f(4)?O 1019O4-1N Approximately _______ people die in the United States each year from foodborne illnesses.Question 17 options:300,0003003,00030,000 what do you mean by MA of lever is 2 Can someone help me out please txt 100 points no problem A marble rolls across a table for 6 meters in 2.3 seconds. What is thevelocity of the marble? Estimate.509 36help plz! The distance of planet Mercury from the Sun is approximately 5.8 107 kilometers, and the distance of planet Venus from the Sun is 1.1 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun? 5.2 107 kilometers 4.7 108 kilometers 5.2 108 kilometers 5.7 109 kilometers Mr. Witherspoon's fifth grade class was on theplayground. Billy was told to stand still.Mr. Witherspoon had Rosey stand 10 feet fromBilly. The rest of the class was also told to stand10 feet from Billy. What shape did the positions ofthe class form in relation to Billy? Why did colonial leaders from the separate 13 colonies decide to act together to oppose British laws? 1. The physical effort of the manpower to produce the basic needs of theconsumers, describes which factor of production?a) Landb) Capitalc) Labord) Entrepreneur Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.3x+6+1=2x+8+2x 12. Some viruses attack cells by inserting their own DNA into the host cells DNA. Why might it be simpler for these viruses to attack prokaryotic cells than eukaryotic cells A. Prokaryotic cells have less DNA than eukaryotic cells. * B. The cell wall in prokaryotic cells is a less effective barrier. * C. The rapid growth of prokaryotic cells generates more viruses. * D. Unlike eukaryotic cells, prokaryotic cells do not have a nucleus. What is 4/5 x 2/5? I need help