The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?

22 centimeters
26 centimeters
30 centimeters
34 centimeters

Answers

Answer 1
a² + b² = c²

Where a and b are the legs and c is the hypotenuse

So, plug in 10 for one of the legs and 24 for the other leg

c will be left blank because that is what you are trying to find, the hypotenuse

10² + 24² = c²

100 + 576 = c²

676 = c²

Take the square root of both sides of the equation to isolate c

√676 = √c²

Square of c and the square root cross out on the right

Take the square root of 676

c = 26

So, the length of the hypotenuse is 26 centimeters




Answer 2

Answer:

C

Step-by-step explanation:

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Related Questions

What is the answer to 12-D=1.43

Answers

Density = 1.43g/cm3cubed
the answer is 10.5 cx

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?

Answers

The price for each instructor will be the same at 3 hours. How I determined this answer:

First off, you need to add the initial price and hourly price for each person together, so you already know how much it will cost for 1 hour, including the initial fee. Here's how you do it:

Ieda: $11.00 (hourly price) + $8.50 (initial fee) = $19.50 (for 1 hour)

Thanh: $10.50 (hourly price) + $10.00 (initial fee) = $20.50 (for 1 hour)

Now that you have the price for 1 hour including the initial fee, now you need to find the price for each hour after that. Here's how I did that:

I created a graph that looked like this:

Hours:       1                 2                  3               
Ieda:      19.50          30.50         41.50
Thanh:   20.50          31.00         41.50

Here's how I figured out the price for each hour:

Ieda:

Hour 1 (including initial price):
            $11.00 + $8.50 = $19.50
Hour 2 (excluding initial price): Only add the hourly price after Hour 1!
            $19.50 + $11.00 = $30.50 
Hour 3 (excluding initial price):
            $30.50 + $11.00 = $41.50

Thanh:

Hour 1 (including initial price):
            $10.50 + $10.00 = $20.50
Hour 2 (excluding initial price):
            $20.50 + $10.50 = $31.00
Hour 3 (excluding initial price):
            $31.00 + $10.50 = $41.50

So, looking at the graph, their prices are the same once each instruction reaches 3 hours. ($41.50)

I hope I was able to help you! :)

Answer:

b

Step-by-step explanation:

A rectangular lawn has an area of 153 square meters and a perimeter of 52 meters what are the dimensions of the lawn

Answers

17 meters by 9 meters (17×9)
Final answer:

The rectangular lawn's dimensions that match the given area (153 square meters) and perimeter (52 meters) are 17 meters in length and 9 meters in width.

Explanation:

This problem is solved using the formulae for the area and the perimeter of a rectangle. The area is given by Area = length x width and the perimeter by Perimeter = 2 x (length + width). Because we know both the area and the perimeter of the rectangle, we have a system of two equations and two unknowns. Given that the area is 153 and the perimeter is 52, we can write the equations as follows: lw = 153 and 2l + 2w = 52.

By solving this system of equations, we find that the dimensions of the rectangle that satisfy these two equations are length = 17 meters and width = 9 meters. Therefore, the lawn's dimensions are 17 meters in length and 9 meters in width.

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The result of subtracting 2 from its opposite is _____.

0
1
4
-4

Answers

Answer: it's four

Step-by-step explanation:

Answer:

its -4

Step-by-step explanation:

Rita checked out 7 books from the library. She had 2non-fiction books. The rest were fiction. What are three different ways to write the ratio of non-fiction to fiction?

Answers

There are 3 ways to write ratios, with a colon (:), as a fraction, or verbally. Let me show you:

Colon: 2:5

Fraction: 2/5

And finally...

Verbal: 2 to 5


I hope I helped you with this concept. Have a great day.


Step-by-step explanation:

To write the ratio of non-fiction to fiction books, we need to compare the number of non-fiction books to the number of fiction books.

1. The first way to write the ratio is in the form of a fraction. We can express the number of non-fiction books as the numerator and the number of fiction books as the denominator. In this case, the ratio would be 2/5 since Rita had 2 non-fiction books out of a total of 7 books.

2. The second way to write the ratio is using a colon (:). We can write the number of non-fiction books followed by a colon and then the number of fiction books. In this case, the ratio would be 2:5.

3. The third way to write the ratio is as a word ratio. We can use the words "non-fiction" and "fiction" to describe the ratio. In this case, the ratio would be "2 non-fiction books to 5 fiction books."

These three different ways to write the ratio of non-fiction to fiction provide different formats for expressing the relationship between the two types of books. Each format can be used depending on the context or preference.

A bicycle cost $ 129.50. You pay $7.77 in sales tax. What is the tax rate?

Answers

7.77/129.5 = 0.06
Therefore the tax rate is 6%

the insect exhibit at the museum has 8 display cases with 417 insects in each case. write and solve an equation tov show how many insects are displayed at the museum.

Answers

8 cases x 417 insects = 3,336 insects
417 times 8 would be the way to do this problem... Hope That Helps : )

show one way to count from 82 to 512

Answers

You can count by 2's/ 4's/ or perhaps evens 6's, it'd be most efficient counting by evens lower than 10. 
Final answer:

To count from 82 to 512, you can do so by adding 10 to each preceding number starting from 82 until you reach 512.

Explanation:

One way to count from 82 to 512 is to count by multiples of 10, which are also known as 'tens'. Begin by starting at the number 82 and adding 10 to get 92. Then, continue adding 10 to each resulting number. Continue this process until you reach the number 512. So, the sequence would look like this: 82, 92, 102, 112... until you eventually reach 512.

Note: This is just one simple method. Depending on the circumstances, you might want to count by other numbers. For instance, you could count by 20's or 50's. Each will yield a different number of steps, and some might be more efficient than others depending on the context.

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A women who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121 foot shadow. How tall is the Space Needle

Answers

Final answer:

To find the height of the Space Needle, a proportion is set up comparing the woman's height and shadow length to the Space Needle's shadow length. The calculation reveals that the Space Needle is approximately 60.83 feet tall.

Explanation:

The student is asking to solve a proportion problem to determine the height of the Space Needle in Seattle, Washington. This is based on the concept of similar triangles where two figures have the same shape but different sizes, and the sides are in proportion. Since the woman who is 5'5" (which is equivalent to 65 inches) tall casts a 13-inch shadow, we can set up a proportion where the height of the Space Needle is to its shadow (121 feet or 1452 inches) as the woman's height is to her shadow. The proportion looks like this:

Height of Space Needle / 1452 inches = 65 inches / 13 inches

By cross-multiplication, we can solve for the height of the Space Needle:

Height of Space Needle * 13 inches = 65 inches * 1452 inches

Height of Space Needle = (65 * 1452) / 13

Height of Space Needle = 9490 / 13

Height of Space Needle = 730 inches

To convert this back to feet, we divide by 12, since there are 12 inches in a foot:

Height of Space Needle = 730 inches / 12 inches/foot = 60.83 feet (approximately)

Therefore, the Space Needle is approximately 60.83 feet tall, based on the given shadows and the woman's height.

how do you write 70% as a fraction in simplest form ?

Answers

70% equals to 70/100 in fraction form.
But, you need to write it in simplest form. so, divide both of them from 10 'cause they both can divide completely by it.
70/100 = 7/10
so, your answer is 7/10

To convert 70% to a fraction, write it as 70/100 and simplify by dividing both the numerator and the denominator by 10 to get 7/10.

To convert 70% to a fraction in simplest form, you first write it as a fraction with a denominator of 100, which would be 70/100. Then, to simplify the fraction, you find the greatest common divisor (GCD) that 70 and 100 have in common. Both numbers are divisible by 10, so when you divide both the numerator and the denominator by 10, you get 7/10. In this simplest form, the numerator is 7 and the denominator is 10, which is the fraction equivalent of 70%.

Use conversion factors to convert . Write the factor you used . 5 quarts to cups

Answers

A quart is 4 cups. 5(4)=20 cups in a pint

I hope I helped :)
Final answer:

To convert 5 quarts to cups, multiply 5 by the conversion factor of 4 cups per quart, resulting in 20 cups.

Explanation:

To convert from quarts to cups, you need to use a conversion factor. The conversion factor for converting quarts to cups is 1 quart = 4 cups. Therefore, to convert 5 quarts to cups, you need to multiply the number of quarts by the conversion factor.

The calculation is as follows:

Start with the number of quarts you have, which is 5.Multiply 5 quarts by 4 cups/quart (since there are 4 cups in a quart).The calculation will be 5 × 4 = 20.

Therefore, 5 quarts is equal to 20 cups.

could use some help on 22

Answers

Try to find a couple of  magazines like coupons and stuff. Then try to divide those decimals like $1.50 divide by discount of 0.50 cent. Hope this helps XD

And if you need anything ask me or comment in a profile.

a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many cans of blue should be used?

Answers

__Brainliest if helped!

5 Parts Yellow with 3 Parts blue
5Yellow with 3 Blue
1Yellow would be  with 3/5 Blue
Hence , 
2 Yellow = (3/5)*2 Blue =6/5 Cans of blue  or 1.2Cans of blue. 

An online bookstore sells 0.8% of its books to foreign customers what fraction of the books or so to foreign customers

Answers

Move two decimals to the left to turn the percent to decimal
0.8% = .008
.008 = eight thousandths = 8/1000 aka 8 over 1000 or 1/125(simplified)

The fraction of books that were sold by the online bookstore to foreign customers is equal to [tex]\frac{8B}{100}[/tex].

Let the total number of books sold be B.

Given the following data:

Percentage of books sold = 0.8%

To determine the fraction of books that were sold by the online bookstore to foreign customers:

In Mathematics, a fraction can be defined as a numerical quantity that isn't a whole number.  Thus, a fraction is simply a part of a whole number.

First of all, we would convert the percentage of books sold in decimal to fraction.

Conversion:

0.8% = [tex]= \frac{8}{100}[/tex]

Next, we would multiply the total number of books sold by this fraction:

[tex]Fraction\;sold =\frac{8}{100} \times B\\\\Fraction\;sold =\frac{8B}{100}[/tex]

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Robert can run 1/2 of a mile in 1/15 of an hour. How many miles can Robert run in an Hour?

Answers

(1/2) / (1/15) = x / 1.....1/2 mile to 1/15 hr = x miles to 1 hr
cross multiply
1/15x = 1/2
x = 1/2 * 15
x = 15/2 or 7 1/2 miles per hr

1/2) / (1/15) = x / 1.....1/2 mile to 1/15 hr = x miles to 1 hr

cross multiply

1/15x = 1/2

x = 1/2 * 15

x = 15/2 or 7 1/2 miles per hour

Hope this helps

:}

what is the probability of drawing a penny without looking?

Answers

1/4 because a penny is one of 4 coins , do you have a problem to go along with it ?

What percent of 60 is 15?
Show Work




What number is 15% of 60?
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What percent of 50 is 18?
Show Work



12 is 90% of what number ?

Answers

well the first one you have to divide both sides by 60 to get x. 
=60x/60=1500/60 
x=25
your answer is 25%

second one...think of it as 18/50. multiply by 2 and you get 36/100 
your answer is 36%

subtract the product of 3 and 4 from 36. then divide the quotient of 9 and 3, subtracted from fifteen

Answers

The first one is 24, and the second one is 12
when it says subtract the product of 3 and 4 it is basically saying subtract 3x4 from 36 so 3x4=12    36-12=24 so yes 24 is the first one 

and the second one says divide the quotient of 9 and 3 subtracted from fifteen
that just means divide 9 by 3 which which is 3 and subtract from 15 which is 12 and divide that by 3 which is 4 so the second one is 4  

One third of eleven sixteenths

Answers

1/3 times 11/16 equals 11/48
It equals 0.22916666666

A poll has a percent error of 4%. The poll states 15,000 people will vote for Candidate A in the next election. Which statement describes what the actual number of people voting for Candidate A could be?

A. The actual number of people is either 9,000 or 21,000.
B. The actual number of people is either 14,400 or 15,600.
C. The actual number of people is either 14,423 or 15,625.
D. The actual number of people is either 14,940 or 15,060.

Answers

it should be c im pretty sure
i believe your answer will the B

Write a decimal that is less than 5.89 and greater than 4.27

Answers

A range of them.... 4.28, 4.29, 5.01, etc.
It can be any number in between those two numbers  <5.89 and >4.27

Could be 4.93, 5.07, etc

Infinite possibilities, just choose 1 ;)

answer (2x-12)+(1/2xy-10) x=8 y=2

Answers

Input the values x=8, y=2 in the equation
((2x8) - 12) + (1/ (2x8x2) - 10)
= (16 -12) + ((1/ 32) - 10)
= 4 + (0.03125 - 10)
= 4 + (-9.96875)
= 4 - 9.96875
= -5.96875 is the answer
 

A moving van has an interior height of 7 feet 9 (84in). You have boxes in 12 inch and 15 inch heights, and want to stack them as high as possible to fit. Write an inequality that represents this situation

Answers

The inequality is 12x+15y<=84 
x is number of 12 inch boxes 
y is number of 15 inch boxes 

Hope this helps :)
Final answer:

To represent this situation, we create the inequality 12x + 15y ≤ 84, where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes stacked.

Explanation:

To represent this situation, we can create an inequality based on the height of the moving van and the heights of the boxes. Let's define variables for the number of 12 inch boxes and 15 inch boxes stacked. Since we want to stack them as high as possible, we want the sum of the heights to be less than or equal to the interior height of the van:

12x + 15y ≤ 84

where x represents the number of 12 inch boxes and y represents the number of 15 inch boxes.

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a bag contains green, yellow, and orange marbles. the ratio of green marbles to yellow marbles is 2:5. The ratio of yellow marbles to orange marbles is 3:4. What is the ratio of green marbles to orange marbles?

Answers

If yellow is 15, then we set 2/5 = x/15, letting x = green.  5x = 30, so x = 6.   Again, with yellow being 15, then we set 3/4 = 15/x, letting x = orange.  3x = 60, so x = 20. Then, the ratio of green to orange is 6:20 = 3:10. Hope this helps!

If you have any questions let me know 

I hope this helps you again!


write the word sentence as an equation.
The quotient of two times a number k and -2.6 is 12\

Answers

2k/-2.6=12 is the word sentences as an equation

The word sentence 'The quotient of two times a number k and -2.6 is 12' translates to the equation (2 × k) / -2.6 = 12. Solving for k gives k = -15.6.

The sentence describes 'the quotient of two times a number k and -2.6 is 12'. Quotient refers to the result of division. Therefore, the equation that represents this sentence is:

(2 × k) / -2.6 = 12

To find the value of k, you would multiply both sides by -2.6 and then divide by 2:

-2.6 × 12 = 2 × k => -31.2 = 2 × k

k = -31.2 / 2 => -15.6

Brian bought a pair of jeans that was on sale for one third of its original price. Including the 3.76 sales tax, he paid $29.17. What was the original price of the jeans?

Answers

I believe it would be $87.51 not positive though.

A ramp used to remove furniture from a moving truck has a slope of 2/5.
The height of the ramp is 4 feet. How far does the base of the ramp extend from the end of the truck?

Answers

Remember that slope is change in y (height) over change in x (horizontal distance). We set up a proportion to find the horizontal distance from the base of the ramp to the end of the truck.

[tex]slope= \frac{ChangeInHeight}{ChangeInHorizontalDistance} = \frac{2}{5}= \frac{4feet}{x} \\ \frac{2}{5} = \frac{4feet}{x} \\ 2x = 20feet \\ x = 10feet [/tex]

explain how you could use a hundred chart to find the missing number 63+?=87

Answers

87 - 63 = 24 so 63 + 24 = 87

Answer:

Step-by-step explanation:

Alright, lets get started.

The given is :

[tex]63+?=87[/tex]

Suppose the asked number is x, so

[tex]63+x=87[/tex]

It means we need to find x.

If we subtract 63 from both sides, the give equation will become:

[tex]63+x-63=87-63[/tex]

[tex]x=24[/tex]

So the missing number is 24   :    Answer

James was able to correctly name 11 major highways,4 mountains,86 major cities,and 9 bodies of water on a map.How many places on the map did James identify?Explain how you can use compatible numbers to help calculate the sum

Answers

11+4+86+9=110 
Adding the places James was able to name will give you the sum, as sum means addition 

Using the mathematical operation of addition, we know that James identified a total of 110 places on the map.

What is addiction? In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. It is one of the fundamental mathematical operations we employ on a daily basis. We employ number addition in a variety of contexts. When working with time or money, such as when adding up invoices and receipts, adding numbers is one of the most frequently used operations in daily life. The "+" sign is used to denote the addition of numbers (also called the plus symbol).

The places which James correctly named on the map are:

11 major highways4 mountains86 major cities 9 water bodies

So, to know how many of the places James identify, we should take the sum of all the places as follows:

11 + 4 + 86 + 9110

Therefore, using the mathematical operation of addition, we know that James identified a total of 110 places on the map.

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what is 684/12 btw the slash represents divison

Answers

The Answer to this Is 57
684 / 12 = 57.

I recommend using a calculator next time ;).
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