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N76 [4]
2 years ago
14

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

Mathematics
1 answer:
Masteriza [31]2 years ago
8 0

Answer:

The correct option is D.

Step-by-step explanation:

From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.

Distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}

The scale factor is

\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2

Therefore the length of sides of image is twice of preimage.

The vertices A and D are image of F and I respectively.

The length of FG is

FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5

Therefore the length of AB is 10 units and length of CD is also 10 units.

The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).

The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).

Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.

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Answer:

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Step-by-step explanation:

Area of the triangular prism = Base Area * Height of the pyramid

A = BH/3

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Base of the triangle = 5

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Step-by-step explanation:

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The amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

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Therefore, the amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

Learn more about compound interest here: brainly.com/question/21270833

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