The width of a rectangle is 10 centimeters and the length of the rectangle is 17 centimeters. Which measurement is closest to the length of the diagonal of this rectangle in centimeters?

Answers

Answer 1

The measurement which is closest to the length of the diagonal of this rectangle in centimeters is; 20 centimetres.

The diagonal of the rectangle is the line which divides the rectangle into 2 right angled triangles.

In essence, the diagonal of the rectangle is the hypothenus of either of the triangles and can be evaluated as follows;

By Pythagoras;

Diagonal, D² = 17² + 10²

D² = 289 + 100

D² = 389

D = √389

D = 19.72 centimeters.

D is approximately 20 centimetres.

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Related Questions

Help plzdsadsadsadsdsa

Answers

Answer:

Step-by-step explanation:

9b²c² = (3bc)²

100m²n⁶ = (10mn³)²

I hope I've helped you.

Which one of the following statements about fractions is correct?
Question 9 options:

1/3 is an improper fraction.

9/7 is a proper fraction.

5/16 is a mixed number.

4/4 is equal to 1.

Answers

Answer:

4/4 is equal to 1 is the only one that's correct

Step-by-step explanation:

Answer:

4/4 and 1/3 are the correct statements

1 2/3 divided by 2 3/4

Answers

Answer:

20 / 33

Step-by-step explanation:

Brianlyest plz

3) Can anyone help me with this?

Answers

Answer:

The answer is A.

Step-by-step explanation:

Can I have brainiest?

Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format

Answers

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Perpendicular Bisector Theorem

Answers

A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ

=》 PS = 3a

=》 PQ = a + 16

PS = PQ

3a = a + 16

3a - a = 16

2a = 16

a = 16/2

a = 8.

_______

RainbowSalt2222 ☔

Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?

Answers

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

HELP WITH THIS PLS :)0000

Answers

Answer:

5 to 1 power

Step-by-step explanation:

Answer:

5^(15) or 5 to the 15th power

Step-by-step explanation:

When simplified, both equal to 305175..

help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?

Answers

Check the picture below.

Find the surface area. Enter the exact answer in simplest form.

Answers

Answer:

  3024π square inches

Step-by-step explanation:

The surface area is the sum of ...

lateral area of the conelateral area of the cylinderarea of the circular base

The relevant area formulas are ...

  A = πrs . . . . . lateral area of cone with radius r and slant height s

  A = 2πrh . . . . lateral area of cylinder with radius r and height h

  A = πr² . . . . . area of a circle of radius r

The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.

  A = πrs +2πrh +πr²

  A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²

  A = 3024π in² . . . . surface area

Check the picture below.

so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.

[tex]\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi[/tex]

[tex]\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}[/tex]12

1. find the mean of three numbers x, y and z,
a.express x in terms of а, y and z
b find x when a=5, y=2 and z=1
3. y x varies directly as y and inversely as z and x 27, y =9 and z =2​

Answers

Answer:

i dont know

Step-by-step explanation:

what is the expression for 6 times the sum of y and 11

Answers

Answer:

6y+66

Step-by-step explanation:

PleaseHelp! Easy math

Answers

1. X=18
2. X=5
3. 5/2
4. X=15

Answer:

1.x=12

6/12 divided by 3 for both denominator and numerator

2. x=5

2/10 divided by 3 for both denominator and numerator

5. x=60

60/100 divided by 20 for both denominator and numerator

Find out #3 for yourself

Step-by-step explanation:

1. A variable whose value cannot be predicted or set with certainty is a:_____.
a. discrete variable
b. random variable
c. realistic variable
d. simulation variable
2. If chance or uncertainty is present in a system then there is an element of ____ in the decision-making problem.
a. danger
b. security
c. risk
d. difficulty
3. Best case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
4. Worst case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
5. What method is used to generate observations from a distribution?

Answers

1. Random Variable

2. Risk

3. Optimistic

4. Pessimistic

5. Im not sure

multiply
1 1/2 x 1 1/4=______

Answers

Answer:

121/8

Step-by-step explanation:

Simply Multiply.

Eli is deciding between two different movie streaming sites to subscribe to. Plan A costs $14 per month plus $2 per movie watched. Plan B costs $10 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Eli watches xx per month, and let B represent the monthly cost of Plan B if Eli watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.

put it on a graph

Answers

Hope this helps I really tried

By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.

How to get the cost equations?

We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:

C₁(x) = $14 + $2*x

Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:

C₂(x) = $10 + $3*x

Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.

In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.

While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.

If you want to learn more about linear equations, you can read:

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Find the inequality represented by the graph

Answers

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

(2a-1/3) / b/15 when a=-3/5 and b=-6.75

Answers

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation

Answers

Step-by-step explanation:

[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]

[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]

[tex] = 4 \times {10}^{6} [/tex]

[tex] \: [/tex]

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]

Answer:

[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]

[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]

[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]

[tex]↪4 \times {10}^{6} [/tex]

dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?

Answers

Answer:

15 miles per hour

Step-by-step explanation:

12 miles per hour / 60 mins = 0.2 miles per minute

0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)

at to 2 minutes shes already 0.4 miles ahead of her brother.

he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15

his speed should be 15 miles per hour

(9x - 8 ) + (x + 10)+(x+2)

Answers

Answer: 11x+4

(simplify?)

Step-by-step explanation:

Remove parentheses.

9x−8+x+10+x+2

Add 9x and x

10x−8+10+x+2

Add 10x and x.

11x−8+10+2

Add −8 and 10.

11x+2+2

Add 2 and 2.

11x+4

Step-by-step-explanation:

Evaluate:

[tex]9x - 8 + x + 10 + x + 2[/tex]

Add the first two terms:

[tex]10 + 2 + x + 2[/tex]

Evaluate:

[tex]10x + x + 2 + 2[/tex]

Add the terms:

[tex]11x + 2 + 2[/tex]

Solution:

[tex]11x + 4[/tex]

ANSWER:

[tex]11x + 4[/tex]

Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?

Answers

Answer:

If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!

Step-by-step explanation:

0 dollars. Have a good day.

The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen

Answers

Answer:

150 minutes

Step-by-step explanation:

Hello there can you please help y

Answers

Answer:

5x + 28 = 7x - 4

2x = -32

x = -16

A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?

Answers

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.

Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings

Calculate how much in total Harry was paid last week

Answers

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

What is amount?

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

To know more about amount on :

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Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer: 2.8 miles

Step-by-step:

We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

Cross Multiply

We multiply the numerator with the dominator

so [tex]7 multiplied by 24[/tex]

and [tex]60 multiplied by x[/tex]

[tex]7*24=60x[/tex]

[tex]168=60x[/tex]

[tex]\frac{168}{60} =\frac{60x}{60}[/tex]

[tex]2.8=x[/tex] or [tex]x=2.8[/tex]

Now for the

Butterfly Method

You would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]

Then[tex]\frac{168}{60}[/tex] simplify

[tex]2.8[/tex] so 2.8 miles in either method

Neeed helppppppppppppppppp

Answers

girl why don’t u just try
B I think I don’t know tho

QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.

Answers

Answer:

width: 6.5 mlength: 10 m

Step-by-step explanation:

Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:

  A = LW

  65 = (2w-3)(w)

  2w² -3w -65 = 0

  (2w -13)(w +5) = 0 . . . . . . . factor

  w = 6.5 . . . . . . . . the positive solution

  2(6.5) -3 = 10 . . . the length of the rectangle

The width of the rectangle is 6.5 meters; the length is 10 meters.

What is 2(5-3x)+(x-10)

Answers

Answer:

-5x

Step-by-step explanation:

-5x

step to step explaination:

2(5-3x)+(x-10)

=10-6x+x-10

=10-10-6x+x

= -5x

PLEASE MARK MY ANSWER AS BRAINLIEST.

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Scientists recently introduced the teeny meanie, whichthey discovered in Argentina. That is a country in South America. Experts say Eodromaeus (ee-oh- DROH-mee-uhss) is one of the oldest dinosaurs ever discovered. It lived during the Triassic Period about 230 million years ago. The dinosaur's name means "dawn runner." The pint-sized predator was four feet long from nose to tail and weighed less than fifteen pounds. Though Eodromaeus was small, it may hold big clues about the world's first dinosaurs."We're looking at a snapshot of early dinosaur life," says Paul Sereno. He is a paleontologist who helped find the reptile.A Meaty History Eodromaeus has a history that scientists can really sink their teeth into. The dinosaur was one of the very first theropods. A theropod was a meat-eating dino that walked on two legs. The great-granddaddy of T. rex shared some key features with later carnivores, or meat eaters. The reptile had sharp, narrow teeth. 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"I think if they [ran] by, you might not even know the difference except that one might want to rip your arm off and the other one might ... hide in a bush," Sereno says. The fact that the dinosaurs shared so many features could mean that they are also very similar to the world's first dinosaur, Sereno says. Experts believe that dino roamed Earth ten million years earlier than Eoraptor and Eodromaeus did. That may seem like a long time, experts say, but it is relatively short compared with the 183 million years that dinosaurs existed.Digging Deeper Sereno and his team found both Eodromaeus and Eoraptor in northern Argentina. They believe the country may hold even more fossils-including the remains of the very first dinosaur. "We're going to go back," Sereno says. He's pretty sure some fossils will turn up. "They always come out to say hi when we come!"Profile of a Predator Small animals, beware! 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Because of their experiences with the British government, the colonists had limited the power of the United States central government under the Articles. After the war, however, many people realized that the government had too little power. It could not collect taxes or regulate trade. There was no executive to enforce laws and no court system to make sure laws were fair. The countrys leaders realized the United States needed a new plan of government.Respected people, or delegates, from all the colonies except for Rhode Island met in Philadelphia in 1787 to create a new constitution. For four months the delegates discussed problems and solutionsin secret so that no one would influence the decisions. Finally, in September 1787, they completed the writing of the United States Constitution. The next step was to get the document ratified, or approved, by nine of the thirteen states. That task was not easy.When Americans learned the specifics of the Constitution, two groups formed. 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Federalists claimed that those rights were protected even though they were not specifically listed. After more than two years of discussions, James Madison proposed amendments, or additions, to the Constitution that would protect a citizens rights.The House of Representatives passed seventeen amendments on August 24, and the Senate consolidated them into twelve amendments. The Senate passed them on September 9. In order for the amendments to become law, however, the states also had to approve them. Congress sent the amendments to the states on September 25. The states approved ten of the twelve amendmentsknown as the Bill of Rightson December 15, 1791. The United States had a new government plan that allowed it to become not only the most powerful nation in the world but also the greatest protector of human rights. What are two central ideas of the passage? Federalists didn't want a Bill of Rights.The creation of the Constitution was complicated.Many people worked together to create the Constitution.Personal rights were unimportant to Americans.James Madison proposed seventeen amendments. ayer / felipe y lola / enviar / mensajes por correo electrnico The big worry at the chapter's end isQuestion 5 options:dividing the treasureSmaug's locationreplacing the ponies Jumbled Words: Arrange the following words. (KITCHEN WEARS/TOOLS/EQUIPMENT)1. IBCENTAN - 2. WDRRAE - 3. OTLEW - 4. ISETUS - 5. NIKS - 6. BLETA KPANNI - 7. LEPAT - 8. SAGLS - 9. RFKO - 10. NOSOP -This is URGENT! 5 MIN. LEFTY'all i need this to be doneee!! Don't answer this quest if you don't know what's the answer.. Thanks!! Helpful answer/w explanation = Brainliest Answer Unhelpful answer/ Nonsense = Report (Delete) PLEASE HELP ITS DUE NOW!!!!!!WILL MARK BRAINLIEST!!!!!