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forsale [732]
3 years ago
11

Luke is tiling a square patio in his backyard. He has 121 square-shaped tiles that will cover the entire patio. The maximum numb

er of tiles that Luke can fit along one side of the patio is____?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0
11 squares, because if it's square then both sides are equal, and 11 x 11 is 121.
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Solve the system by elimination
Alja [10]

First of all we will eliminate x from our equations. In order to do that we will use our first and second equation and then we will use second and third equation.

-2x+2y+3z=0...(1)\\-2x-y+z=-3....(2)

Upon subtracting 2 equation from 1 we will get,

3y+2z=3....(4)

Now we will use second and third equation to eliminate x.

-2x-y+z=-3....(2)\\2x+3y+3z=5....(3)

Adding 2nd and 3rd equation we will get,

2y+4z=2....(5)

Now we will find out y from our 4th and 5th equation.

2*(3y+2z)=2*3....(4)\\2y+4z=2....(5)

Upon subtracting 5th equation from 4th equation we will get,

4y=4\\y=1

Now let us find out z by substituting y's value in 5th equation.

2*1+4z=2\\4z=2-2\\z=0

Now we will find x from by substituting y and z's value in equation 1.

-2x+2*1+3*0=0\\-2x+2=0\\2=2x\\x=1

Therefore, x=1, y=1 and z=0 is the solution of the given system.

3 0
4 years ago
The measure of ∠BAC is π/3 radians and the measure of ∠CAD is π/2 radians. What is the measure of ∠BAD?
GREYUIT [131]

9514 1404 393

Answer:

  5π/6 radians

Step-by-step explanation:

The whole is the sum of the parts.

  ∠BAD = ∠BAC +∠CAD

  ∠BAD = π/3 + π/2 = π(2/6 + 3/6)

  ∠BAD = 5π/6

6 0
3 years ago
IS this graph a function?
iris [78.8K]

Answer:

not a function

Step-by-step explanation:

We can use the vertical line test to tell if this is a function

If a vertical line touches the graph at more than one point it is not a function

Since this graph is a vertical line, it will fail the vertical line test.

Therefore, this is not a function

6 0
3 years ago
True or false : If the value of a country's currency is low, it will lead to economic decline in all areas.
zlopas [31]

Answer:

True

Step-by-step explanation:

We have seen this take place numerous times throughout history. the value of a countries currency goes down and so does the hole economy. we can see this even happen in Germany after WWII and in multiple other places so yes the answer is true.

8 0
4 years ago
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it
harkovskaia [24]

Answer:

33.3%

Step-by-step explanation:

If all of them are equal out of 100%

that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3

8 0
3 years ago
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