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OLEGan [10]
3 years ago
12

Sara has a rectangular garden in her backyard that measures 12 m by 15 m. She wants to put a rock walkway on the diagonal. How l

ong will the walkway be? Round to the nearest tenth of a meter
Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

19.2 m

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 15^2 = c^2

144 + 225 = c^2

369 = c^2

Taking the square root of each side

sqrt(369) =sqrt(c^2)

19.20937271=c

To the nearest tenth

19.2 = c

valina [46]3 years ago
6 0

Answer:

Diagonal of rectangle walk = 19.2 meter (Approx.)

Step-by-step explanation:

Given:

Length of rectangle = 12 meter

Width of rectangle = 15 meter

Find:

Diagonal of rectangle walk

Computation:

Diagonal of rectangle = √l² + b²

Diagonal of rectangle walk = √Length of rectangle² + Width of rectangle²

Diagonal of rectangle walk = √12² + 15²

Diagonal of rectangle walk = √144 + 225

Diagonal of rectangle walk = √369

Diagonal of rectangle walk = 19.2093

Diagonal of rectangle walk = 19.2 meter (Approx.)

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Marrrta [24]
Any multiple of 4 would work.
7 0
3 years ago
PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10
klemol [59]

The complete table will be:

Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175

<u><em>Explanation</em></u>

Suppose, the number of sit-ups in Sunday is x

Mean is the simple average of some numbers. <u>For finding the mean number</u> of sit-ups per day, we need to <u>divide the 'total number of sit-ups' by the 'total number of days'</u>.

Here the total number of days is 7 and the total number of sit-ups for 7 days = 100+65+120+150+90+0+x= 525+x

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175

So, the number of sit-ups you have to do Sunday is 175.

6 0
3 years ago
Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder
marishachu [46]

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

7 0
3 years ago
Read 2 more answers
Andrew has three times as many pens as Owen. Together they have 20 pens. How many pens Andrew have?
Softa [21]
Andrew has 10 pens bc it's half of twenty
3 0
3 years ago
If 20,x,y,z,25 are in AP .find the value of X,y,z.​
Kamila [148]

Answers:

  • x = 21.25
  • y = 22.5
  • z = 23.75

=============================================================

Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

  • x = 20+d
  • y = 20+2d
  • z = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

  • x = 20+d = 20+1.25 = 21.25
  • y = 20+2d = 20+2*1.25 = 22.5
  • z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.

5 0
3 years ago
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