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Pavel [41]
3 years ago
12

Evaluate −6 − (−2). −4 −8 4 12

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0
Solution:

-6 - (-2) = -6 + 2 = -4
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Every morning Jim runs for 30 minutes if Jim runs for 8 miles per hour how far does he travel
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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
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B.18. 44 miles

Step-by-step explanation:

We are given that

Distance between A and B=8 miles

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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

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Hence, option B is correct.

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Step-by-step explanation:

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