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rewona [7]
3 years ago
12

Give the coordinates for point P in the kite below without using any variables

Mathematics
2 answers:
mart [117]3 years ago
5 0

Answer: D. (-b,0)

applying coordinate geometry practice

the whole quiz >

1. b.

2. a.

3. c.

4. d.

5. c.

6. c.

7. a.

8. d.

9. d.

10. b.


miss Akunina [59]3 years ago
3 0

Answer:

Coordinates of P = (-b,0)

Step-by-step explanation:

Given that a kite is drawn on a cartesian graph.  The coordinates are

(0,a) (b,0) , (0,-c) and unknown coordinate for P.

We know that in a kite adjacent sides are equal.  Also diagonal cut at right angles with bisecting only one diagonal.

Here we find that the line y axis joining (0,a) and (0,-c) is the perpendicular bisector of the diagonal of x axis joining P and (b,0

Since P lies on x axis, coordinate of P (k,0) for some value k

SInce O is the mid point , we get (0,0) is the mid point of (k,0) and (b,0)

Using mid point formula we find that k =-b.

Hence coordinates of P = (-b,0)

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Given:

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To find:

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Solution:

Area of an equilateral triangle is:

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Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

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3 years ago
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Answer:

Nico

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In order to compare who had the best performance on the aptitude test, we can use Z score. Z score indicates how many standard deviation a result  is over the mean. For this case the higher the result is, the best is the performance on the aptitude test.

Z score is expressed with the following formula:

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