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sammy [17]
1 year ago
8

For each of the examples below, identify

Mathematics
1 answer:
ololo11 [35]1 year ago
5 0

Answer:

140°

205°

Step-by-step explanation:

For A

The bearing of D from C is the angle at the line joining D and C while coming from the north pole in a clockwise direction.

from the diagram, the answer is = 140°

For B

The bearing of D from C is obtained same as A

so the answer is = 205°

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up
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Let

A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)

using a graph tool

see the attached figure

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we know that

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Area=\sqrt{p*(p-a)*(p-b)*(p-c)}

where

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 a,b,c are the lengths of the sides of a triangle

so

Step 1

<u>Find the length sides of the triangle</u>

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d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}

d =3.5\ mi}

b) <u>Find the distance AC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}

d =6.15\ mi}

c) <u>Find the distance BC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}

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<u>Find the half of the perimeter </u>

p=\frac{12.4}{2} = 6.2\ mi

Step 3

<u>Find the area of the triangle</u>

Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}

Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}

Area= 1.69\ mi^{2}

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

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