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Elza [17]
3 years ago
6

DATE PAGE NO a) In which quadant quadrant does point (-4,2) lie?

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

Quadrant 2

Step-by-step explanation:

:)

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An irrigation sprinkler waters
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Step-by-step explanation: Hope this helps

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A boat travels 8 miles north from point A to point B. Then it moves in the direction S 40°W and reaches point Finally, it turns
uysha [10]

Answer:

B.18. 44 miles

Step-by-step explanation:

We are given that

Distance between A and B=8 miles

Angle B=Angle BCQ=40 degree (Alternate interior angles)

Angle ACB=180-Angle ACP-Angle BCQ

Angle ACB=180-40-40=100 degree

In triangle ABC

Angle A+ Angle B +Angle C=180 degree using sum of angles of triangle property

Substitute the values

\angle A+40+100=180

\angle A+140=180

\angle A=180-140

\angle A=40 degree

Angle A=Angle B

When two angles are equal of a triangle then the triangle is isosceles triangle.

Therefore, triangle ABC is an isosceles triangle.

\implies BC=AC

Now, Sine law

\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}

Using the sine law

\frac{BC}{sin 40}=\frac{AB}{sin 100}

\frac{BC}{sin 40}=\frac{8}{sin 100}

BC=\frac{8\times sin40}{sin 100}

BC=5.22

AC=BC=5.22 miles

Now, total distance covered by the boat=AB+BC+AC

Total distance covered by the boat=8+5.22+5.22=18.44 miles

Hence, option B is correct.

4 0
3 years ago
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