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Rus_ich [418]
3 years ago
6

Towns P,Q,R and S are shown. Q is 35 km due East of P S is 15km due West of P R is 15km due South of P Work out the bearing of R

from S? Work out the bearing from R to Q?
Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that \overline{RP} = \overline{SP}, the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

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sveticcg [70]

Answer:

The required probability is 0.4098.

Step-by-step explanation:

Consider the provided information.

According to conditional probability that A occurs , given B has occurred.

P(A|B)=\frac{P(A\cap B)}{P(B)}

Assume that the car lot contains 40 percent BMWs, 25 percent Volvos, and 35 percent Jaguars.

Pr(BMWs)=0.40

Pr(Volvos)=0.25

Pr(Jaguars)=0.35

Of the BMWs, 90 percent have navigation systems, 30 percent of the Volvos have navigation systems, and 50 percent of the Jaguars have navigation systems.

Pr(Navigation | BMWs)=0. 90

Pr(Navigation l Volvos)=0.30

Pr(Navigation l Jaguars)=0.50

Total cars with navigation system = 0.40×0.90+0.25×0.30+0.35×0.50

=0.36+0.075+0.175=0.61

Pr(Not Bmw l Navigation system) = \frac{0.25\times0.30+0.35\times0.50}{0.61}\approx0.4098

Hence, the required probability is 0.4098.

6 0
3 years ago
2.4 - 5.5 -4n + 8?
lana66690 [7]

Answer:

<em>4.9 - 4n</em>

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

<em>4.9 - 4n</em>

<em></em>

<em>Hence the simplified form of the equation is 4.9 - 4n</em>

3 0
2 years ago
after eating 25 percent of the pretzels, Sonya had 42 left. how many pretzel did Sonya have originally? ​
Shtirlitz [24]

Answer:

56

Step-by-step explanation:

she ate 25% so she is left with 75%

you want to find that 25% so you do 75÷25=3

42÷3=14

25×4=100

14×4=56

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7 0
3 years ago
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KengaRu [80]

Answer:

$60775000

Step-by-step explanation:

Question ask for how much $ you lose in 52 weeks.

You're given that computer is down 2.75 hours per week. Each of those hours cost you $425000.

In other word, you loose 2.75×425000=$1168750 each week.

If 1 week cost you $1168750,

then 52 weeks, you'll lose 1168750×52=$60775000

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Answer:

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Step-by-step explanation:

35/7 ?/2   2x35=70/7=10 butterfly cross multiply and divide

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