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Marta_Voda [28]
3 years ago
8

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,

b  

2

=32  

2

+46  

2

−(2×32×46cos140°)

b  

2

=1024+2116−2944cos140°

b  

2

=3140−2944cos140°

b  

2

=3140+2255.234841

b  

2

=5395.234841

b=73.45

By Sine Rule,

sinC

32

​

=  

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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Answer:

150

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Multiply 3 x 5 x 10

4 0
3 years ago
The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.
jolli1 [7]

Answer:

Perimeter =  10x + 8 units.

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Step-by-step explanation:

The perimeter  is 2*length + 2*breadth

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= 4x + 10 + 6x - 2

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7 0
2 years ago
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
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3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

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Find how long he needs to take to run 3 miles
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1 miles = 4/3 morning

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Answer : 4 mornings
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6 0
3 years ago
Find the area of the figure​
uranmaximum [27]

Answer:

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Step-by-step explanation:

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and h = 5

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