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How many pavers are needed to cover the patio?

Answer:   The square side lengths are  1 cm, 5 cm, and 11 cm.

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Explanation:

Refer to the diagram below.

Define the following areas

It doesn't really matter how you set up the labels, or what letters you pick, as long as you stay consistent.

We're told that "The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm²", so let's make

Furthermore, we are told that "The total area of ​​the non-overlapping area of ​​the squares is 117 cm²" which means A+B+C = 117

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Refer to the diagram. For now, focus on the upper right square. It has regions A, E, and F. The area of this square is A+E+F

Similarly, the area of the left-most square is D+B+E

The area of the bottom-most square is C+F+D

Add up the expressions we found and we get

(A+E+F)+(D+B+E)+(C+F+D) = A+B+C+2D+2E+2F

This represents the sum of all three square areas even if we peeled the squares apart to not overlap.

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Let's plug in A+B+C = 117

We get

A+B+C+2D+2E+2F

117+2D+2E+2F

Now plug in D = 2, E = 5, and F = 8

117+2(2)+2(5)+2(8)

117+4+10+16

117+30

147

The sum of the three square areas is 147 square cm.

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Now we have to do a bit of trial and error. We're looking for ways to break up 147 such that it is a sum of three squares.

In other words, we want to find integers m,n,p such that m^2+n^2+p^2 = 147

Let's try subtracting off 121

147-121 = 26

I picked 121 since it's the largest perfect square just smaller than 147

Repeat this process, but do so for 25 since 25 is smaller than 26

26-25 = 1

We can see that

1 + 25 + 121 = 147

1^2 + 5^2 + 11^2 = 147

One solution is m = 1, n = 5, p = 11. There may be other solutions. Keep in mind that m,n,p are positive whole numbers.

So we got a bit lucky with our trial and error process. If we didn't find such a triple, we'd have to try other possible combos of squares until we get the right match.

Because 1^2 + 5^2 + 11^2 = 147, this means the squares' side lengths are 1, 5, and 11.

Answer:

24$

Step-by-step explanation:

15%=0.15

160*0.15=24

Answer: 25

Step-by-step explanation: When you divide exponents with the same base, you can subtract the exponents. It becomes 5^4-2, which is 5^2, which is 25

Answer:

I believe the likely awnser is c because it is adding one more side on each step.

Answer:

A

Step-by-step explanation:

THe guy above me explained

The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.

Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

Learn more about medians here: https://brainly.com/question/28060453
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1 Remove parentheses.

7x-x+26=2x−x

2 Cancel -x on both sides.

7x+26=2x

3 Subtract 7x from both sides.

26=2x−7x

4 Simplify  2x-7x  to  -5x.

26=−5x

5 Divide both sides by -5.

26/-5=x

6 Switch sides.

x=26/-5

7 Simplify.

x=-5.2

Answer:

Step-by-step explanation:

The length of the hypotenuse is 18√2.

The longest side of the triangle is called as the hypotenuse.

In a right angled triangle, sin 45°  = perpendicular /hypotenuse

here, perpendicular side P = 18 units and the hypotenuse H is unknown.

sin  45° = 18 /H

H = 18√2

Thus, the hypotenuse is 18√2.

Learn more about  hypotenuse.

https://brainly.com/question/8587612

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Answer:

Yes

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

x=1.2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

4x6=24. i hope this helps if not im sorry

Answer:  

So...

   a0 = -2

   a1 = (a0)2 - 4  =  4 - 4  =  0

   a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...=  02 - 4  = -4  

       For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

   a3 = (-4)2 - 4 = 12

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

 a0 = -2      [the first term]

 an+1 = an2 - 4     [for all other terms, n≥0; note that you cannot find a0 using this line]

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term.  Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0.  This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

Answer:

36/90%=40

Step-by-step explanation:

40 points in total

Answer:

3336

Step-by-step explanation:

pls give brainliest

Answer:

3336

Step-by-step explanation:

1112 divided by 1/3 is 1112 times 3/1=

3336

Answer:

1/4 yards squared

Step-by-step explanation:

Area of a rectangle equals length times width.

1/3 x 3/4 = 3/12, or 1/4

Answer:

It would be 1/4 and if not try 3/12

Step-by-step explanation:

I hope this helped

Answer:

2,0

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

say what

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

cant show work i need to draw then

Answer:

-28k^4

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:I believe its 30

Step-by-step explanation:

Answer:

45 Tulips

Step-by-step explanation:

63/7=9

Tulips: Roses=5:2

Tulips=9x5=45

Roses=9x2=18

Answer:

its to small

Step-by-step explanation:

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

Answer:

-3/5

Step-by-step explanation:

So first, you have to find out the two points :

(-1,-1), and (4,-4)

Next, you have to put into this formula:

y1-y2/x1-x2

The y values in our points are -4 and -1, and our x values are 4 and -1. Lets now substitute:

-4-(-1)/4-(-1)

Now simplify: -4+1/4+1, and solve and you will get -3/5 as the slope

If you liked it, please give me a good rating and please mark me as the brainliest... Thanks!

Hope you do well on your assignment!

Answer:

quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3

S.I= PRT /100

where,

P = price $500

R = rate 10%

T = time =8months

= $500*10*8/100

= $40,000/100

S.I = $400

Answer:

The measure of <FDE is 18°

Answer:

I think its x=48

Step-by-step explanation:

Answer:

X = 7.5

Step-by-step explanation:

0.8x = 6

x = 6/0.8

x = 7.5