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Keith_Richards [23]
3 years ago
9

The ordered pairs shown below follow a pattern

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

I don't see the picture I can't help p u

Amiraneli [1.4K]3 years ago
3 0
Yea there is no picture lol
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ABCD is a parallelogram; find the area of the shaded region.
Korolek [52]

Answer:

  B.  60 ft²

Step-by-step explanation:

The overall area of the parallelogram is the product of its base length (15 ft) and height (8 ft), so is ...

  overall area = (15 ft)(8 ft) = 120 ft²

The area of the quadrilateral in the middle of the parallelogram is the area of two triangles, each with a base equal to 15 ft (the horizontal line in the diagram), and heights that total 8 ft. If we let x represent the height of one of those triangles, then the other has a height of (8-x) and the sum of their areas is ...

  quadrilateral area = (1/2)(15 ft)(x) +(1/2)(15 ft)(8 ft -x)

  = (1/2)(15 ft)(x + 8 ft - x) = (1/2)(15 ft)(8 ft) = 60 ft²

Then the shaded area is the difference between the parallelogram area and the quadrilateral area:

  shaded area = parallelogram area - quadrilateral area

  = (120 ft²) - (60 ft²)

  = 60 ft²

The area of the shaded region is 60 ft².

8 0
3 years ago
Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))
jasenka [17]

Answer:

\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210}  }{21 }

Step-by-step explanation:

\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }

=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right)  \right)  }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}

=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}

\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{10-(10+2\sqrt{21} )} }

=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{-2\sqrt{21} }

=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{21} }

=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }

=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right)  }{21 }

=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63}  }{21 }

=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210}  }{21 }

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0
3 years ago
The area of a rectangle is 63 yd2 , and the length of the rectangle is 5 yd more than twice the width. Find the dimensions of th
Grace [21]
I hope this helps you

8 0
4 years ago
A car uses 7litres of pétrole to coker 28km . How many litres of pétrole does hé use to coker 64km
lions [1.4K]

28/7=4km is car journey covered by car in 1l

64/4=16l

5 0
3 years ago
Why can you eliminate the solution of -0.2 in the context of this problem? Check all that apply.
ivolga24 [154]

Answer: B (It does not make sense for time to be negative.) & C (The ball cannot hit the ground before it is thrown.)

Step-by-step explanation:

I answered the question already

7 0
3 years ago
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