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3 years ago

A car travels 32 km due north and

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer:

Ifa,bandcare the

sides opposite to anglesA,B,&C.

By Cosine Rule,

=32

+46

−(2×32×46cos140°)

=1024+2116−2944cos140°

=3140−2944cos140°

=3140+2255.234841

=5395.234841

b=73.45

By Sine Rule,

sinC

sin140°

73.45

sinC=

73.45

32sin140°

sinC=0.2800

C=16.26°

The direction of the resultant

vector is measured from0°east

to the resultant, this angle isθ−90°,

90°is the total angle in

the first quadrant.

∴θ−90°=C+ϕ

ϕ=50°{Alternate angles are equal}

∴The direction of the car’s

resultant vector is50°+16.26°=66.26°south of east

Step-by-step explanation:

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balandron [24]

Answer:

The greatest depth of the Southern Ocean is 7.24 kilometers

Correct statement, question and data:

The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?

Please see the table attached.

Source:

Question that can be found at mathpractice101

Step-by-step explanation:

Let's answer the question, this way:

Depth of the Southern Ocean = x

For solving x, we have:

(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094

10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)

33.23 + x = 40.47

x = 40.47 - 33.23 (Subtracting 33.23 at both sides)

x = 7.24

The greatest depth of the Southern Ocean is 7.24 kilometers

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Answer:

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Step-by-step explanation:

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