what is the exact length of the diagonal of a 10 cm by 15 cm rectangle?

Answers

Answer 1

To solve this, use pythagorean theroem:

a^2 + b^2 = c^2

Since the diagonal is across from the right angle, it is represented as c.

10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
sqrt 325 = c

Converting to simplest radical form:
5 * sqrt 13 = c

Hope this helps!

Related Questions

Samantha says that (64)–3 = 6. Is she correct? Why or why not?

Answers

No, she is not correct. If you subtract 3 from 64, you will get 61.

She is wrong because 3 subtracted from 64 isn’t 6 it is 61.

Apply the distributive property to factor out the greatest common factor.
56+32=

Answers

factor both of the numbers first:

56 = 2x2x2x7
32 = 2x2x2x2x2

Take out the common factors: 2x2x2( 7 + 2x2)

Simplify: 8(7 + 4)

Hope this helps!
and May the Force Be With You

-Jabba

Find the mean of the integers 5, -15, 7, -13, 1

Answers

(5 - 15 + 7 - 13 + 1 ) / 5

= - 25/5

= - 5

To find mean simply add up the numbers and divide by the number of numbers as shown above.

A mean is an arithmetic average of a set of observations. The mean of the integers 5, -15, 7, -13, 1 is -3.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean of the given integers can be written as,

Mean = Sum of observations/Number of observations

= [5 + (-15) + 7 + (-13) + 1]/5

= (5 - 15 + 7 - 13 + 1) / 5

= -15/5

= -3

Hence, the mean of the integers 5, -15, 7, -13, 1 is -3.

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What is the simplified form of the following expression? Square root 1/169
1/338
1/13
13
2/69

Answers

Square root 1/169 = 1/13
answer

1/13

Answer:

The answer is [tex]\frac{1}{13}[/tex]

Step-by-step explanation:

In order to determine the simplified form, we have to change the number inside of square root. We need to find a number with an exponent that represents the same number that is inside of the root.

Then, we have to use the rules of the powers and the rules of the roots.

[tex]\sqrt{\frac{1}{169} } \\\sqrt{\frac{1}{(13)^2} }\\\sqrt{(\frac{1}{(13)})^2 }\\\frac{1}{13}[/tex]

Finally, the answer is [tex]\frac{1}{13}[/tex]

The procedure to extract a number from a root is finding an expression of a number with a power, and that power has to be a multiple of the grade of the root.

Complete the statement: 0.6L = _____ mL.

0.006

60

600

0.06

Answers

From L to mL multiply by 1000
So 0.60 x 1000
= 600 mL

115 students are going on a field trip. How many buses do they need if each bus holds 30?

Question 2 options:

3

4

5

6

Answers

It will be 4 buses. In the 4th bus there will be 5 seats left.

To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 25 earned runs in 54 innings pitched? If necessary, round your answer to the nearest hundredth. The equation for E is E = . If a pitcher allows 25 earned runs in 54 innings, then the ERA = .

Answers

Ei=9r
E(54)=9(25)
E(54)=225
divide 54 from both sides
E=4.1666
the six repeats, but rounds up to 4.167, or 4.17

Answer: ERA = 4.17

Step-by-step explanation:

1. First, you need to identify the data you get from the sentence.

Earned runs: 25 (r)

Innings pitched: 54 (i)

Earned runs average: ? (ERA/E)

2. Replace your data in the formula.

Ei = 9r

E(54) = 9(25)

3. Solve the operations.

E(54) = 225

4. Now we use the transposing method to find E (ERA). 54 is

multiplying E, so it's going to move to the other side of the

equation dividing like this.

E(54) = 225 ⇒ E = 225/54

5. Calculate the result for E.

E = 4.1666666667

6. Finally, we round our answer.

E = 4.17

So, the earned runs average (ERA) is 4.17.

Use the partial quotient strategy to solve 74 ➗ 3

Answers

Here you go. Attached a photo of the answer.
74 / 3 = 24.66

Final answer:

To solve 74 ÷ 3 using the partial quotient strategy, you repeatedly subtract multiples of 3 from 74 until you reach a number less than 3. The final quotient is 24 with a remainder of 2.

Explanation:

To solve 74 ÷ 3 using the partial quotient strategy, you repeatedly subtract multiples of 3 from 74 until you reach a number less than 3. Here are the steps:

Start with 74 and divide it by 3. The quotient is 0.Multiply 0 by 3 to get 0, and subtract it from 74 to get 74.Add 1 to the quotient, which becomes 1.Multiply 1 by 3 to get 3, and subtract it from 74 to get 71.Add 1 to the quotient, which becomes 2.Multiply 2 by 3 to get 6, and subtract it from 71 to get 65.Continue this process until you reach a number less than 3. The final quotient is 24 with a remainder of 2.

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Help me please

Identify the underlined place in 94.9269. Then round the number to that place.

A) thousandths; 94.93

B) hundredths; 94.92

C) hundredths; 94.93

D) thousandths; 94.92

Answers

If the underlined number is the second from the decimal, then it will be C. If the underlined number is the third from the decimal, then it will be A.

A thousandths; 94.93

What is Canada in 117 in a ratio of 1:8

Answers

Canada is 24 in a ratio of 1:8

CANADA anyway it is 24 in a ratio of 1:8 I believe

How to set up the problem

Answers

x is the amount of money per hour ie 40
plus the additional 1000 he made in the special project
and since he made 7420

the equation is 40x+1000=7420

Given x is less than y compare the following expressions and determine which is greater 2 x - y or 2y - x explain your answer

Answers

2y-x is greater. x<y therefore 2x < 2y

0.3 is 10 times as great as what decimal?

Answers

0.3 is 10 times as great as 0.03

A number is considered as a decimal number, if the number has a fractional part.

0.03 is 10 times as great as 0.03

Let the number be x.

10 times as great as a number is represented as:

[tex]10 \times x[/tex]

So, we have

[tex]10 \times x = 0.3[/tex]

Solve for x

[tex]x = \frac{0.3}{10}[/tex]

[tex]x = 0.03[/tex]

Hence, the number is 0.03

Answers

Here's why C cannot equal 0:

Fractions are ratios of integers. However you cannot divide by 0 or have 0 in the denominator. When you try to divide by 0, the result comes out as undefined. Having an undefined term will not help you solve inequalities or equations.

After two plays the wildcats gained a total of 16 yards. If X represents the number of yards for play one, and Y represents the number of yards for play two make a table for possible values of X and Y. Graph the ordered pairs and describe the graph

Answers

The equation for this problem would be:
x+y = 16
Rearranging the equation, it can be expressed as:
y = 16 - x

To obtain ordered pairs, replace random values of x up to 16 to find the value of y. The ordered pairs are tabulated and the graph is shown in the attached picture.

Two women start at the same point. They walk in opposite directions for 3 meters, then turn right and walk another 4 meters. How far apart are they

Answers

14 meters apart from each other

asher recently bought the poster shown at the right. What is its area? Explain your reasoning to a classmate.

Answers

The area is = length x width
= 4ft x 3.2ft = 12.8ft
To calculate area of a rectangle you must multiply the length of the rectangle by the width to solve for the area of the shape

What are the terms in the expression 3z+5x+7?

3z, and 5x

3z, 5x, and 7

7

3, and 5

Answers

3z, 5x, and 7 are the terms in the expression 3z + 5x + 7

Because 3z, 3z, and 7 are in the question, those are the like terms.

The sum of the ages of Mr and Mrs Smith and their children is 100. in 5 years time it's 130. how many children do they have

Answers

Mr Smith + Mrs Smith + children = 100.

Members (x) = (130 - 100) / 5
x = 30/5
x = 6

Children = x - 2 (parents).
Children = 6 - 2
Children = 4

They have 5 children total.

What is the perfect cubes between 1000 and 3000 that are even numbers

Answers

Final answer:

The even perfect cubes between 1000 and 3000 are 1000 and 1728, which are the cubes of 10 and 12 respectively.

Explanation:

The perfect cubes between 1000 and 3000 that are even numbers can be found by determining the cubes of integers that fall within this range. We start by taking the cube root of 1000, which gives us approximately 10. Then we take the cube root of 3000, which gives us approximately 14. So, we have to find the cubes of numbers from 10 to 14.

Here is how we find them:

10^3 = 100011^3 = 133112^3 = 172813^3 = 219714^3 = 2744

Among these, the even cubes are 1000 and 1728, which are cubes of 10 and 12 respectively. Thus, 1000 and 1728 are the perfect cubes that are even numbers within the specified range.

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What is 1 1/2 in percentage?

Answers

First, get the mixed number into a decimal. 1 [tex]\frac{1}{2}[/tex] can be also written as 1 + [tex]\frac{1}{2}[/tex]. We know that [tex]\frac{1}{2}[/tex] equals to 0.5, so 1 + 0.5 equals 1.5.

Now convert the decimal into a percentage by moving the decimal point two places to the right and adding a % sign.

1.5 = 150%

So, 150% is the answer.

P = W/t solve for W?

Answers

you have p = w/t

first, multiply both sides by t:

t*p = w/t
tp=w

then divide both sides by p and you get:

t/p = w / p
{T=W/P}
and you've solved for t

Step 1: Multiply both sides by t.pt=wStep 2: Flip the equation (just so it makes a little more sense and looks easier)w=pt

what is the followinh are exterior angles

Answers

Well, the exterior angles are angles 4, 5, and 6

one table sale has 75 cookies. Another table has 60 cupcakes. which table allows for more rectangular arrangements when all the cookies and cupcakes are displayed?

Answers

60 cupcakes because u can put 5 rows with 12 in each or u can do 12 rows with 5 in each.

I need help I can't figure out how to do this. I have to find the value of v. 4/5(v−7)=2

Answers

9.5 because 9.5-7 is 2.5. 2.5 times 4/5 is 10/5 which is equivalent to 2. 4/5(2.5-7)=2

Final answer:

The value of v in the equation 4/5(v−7)=2 is found by first multiplying both sides by 5/4 to cancel the fraction. Then, add 7 to both sides, which gives v = 9.5 as the solution.

Explanation:

To find the value of v, we need to isolate the variable. We start with the equation 4/5(v−7)=2. Here's how you solve it:

Multiply both sides of the equation by 5/4 to cancel out the fraction on the left side:Simplify the equation:Add 7 to both sides to solve for v:Convert 7 to a fraction with a denominator of 2 to add it to 5/2:Add the fractions:Simplify the sum:Convert the fraction to a mixed number or decimal if needed:

The value of v is 9.5.

Which is bigger 1/3 or 0.33

Answers

They are the same because 1/3 is 1 divide 3 is equal to 0.33333333 which is like forever 3 so it would be 0.33

1/3. 1/3 is bigger because it is 0.33 repeated, while 0.33 = 0.330

Hope this helps!

What is the mixed number for 4.8 in simplest form

Answers

4 would be the whole number. 0.8 would be 4/5 so the mixed number is 4 and 4/5.

4 4/5 would be your answer

Hope this helps

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 2 cups of bananas are used

Answers

The proportion will be
3 cups banana/1.5 cups sugar=2 cups banana/ x cups sugar.
How do you make 3 into a 2? You divide on a calculator which will get you 1.5. So what you do on top you do to the bottom as well.
Since 2*1.5=3, you have to multiply 1.5 by 1.5 which will get you 2.25. if you want it in fraction form it will be 2 1/4.
2 1/4 cups of sugar.

Answer:

4 cups of sugar will be added with 2 cups of banana in the banana recipe.

Step-by-step explanation:

A recipe for banana bread requires 3 cups of banana and [tex]1\frac{1}{2}[/tex] cups of sugar.

To calculate the cups of sugar used with 2 cups of bananas we will use unitary method.

∵ [tex]\frac{3}{2}[/tex] cups of sugar is used with amount of banana = 3 cups

∴ 1 cup of sugar will be used with banana = [tex]\frac{3}{\frac{3}{2}}[/tex]

∴ 2 cups of sugar will be used with banana = [tex]\frac{2\times 3}{\frac{3}{2} }[/tex] = [tex]6\times \frac{2}{3}[/tex]

= 4 cups

Therefore, 4 cups of sugar will be added with 2 cups of banana in the banana recipe.

write the fraction below as a sum or difference 5x+7 over 4

Answers

The answer is: 1.25x + 1.75

[tex] \frac{5x+7}{4} = \frac{5x}{4} + \frac{7}{4} [/tex]

The seventh grade class contributed $60 toward refreshments and the sixth grade contributed $50. How much money did the seventh grade class contribute for each dollar contributed by the sixth grade class

Answers

Seventh-grade contribution : sixth-grade contribution

$60 : $50

60/50 : 50/50

6/5 : 1

$1.2 : 1

The seventh graders donated $1.20 (one dollar and twenty cents) for every dollar donated by the sixth graders.

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