All categories

3 years ago

See image for question.Please show workings and diagrams.

Mathematics

2 answers:

Komok [63]3 years ago

4 0

Answer:

a) 258 km
b) 267°
c) 87°

Step-by-step explanation:

Refer to attached diagram (not to scale).
Given details are reflected.

First find the measure of angle Q

m∠Q = 36° + (180° - 125°) = 91°

a) Use law of cosines to find x:

x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)

Use the law of sines to find the missing angles:

258 / sin 91 = 160 / sin R = 200 / sin P
m∠R = arcsin (160 sin 91° / 258) = 38°
m∠P = 180° - (91° + 38°) = 51°

b) Bearing P from R:

360° - (55° + 38°) = 267°

c) Bearing R from P:

36° + 51° = 87°

Marrrta [24]3 years ago

4 0

Answer:

a) Use law of consines to find x:

x=(160 2+200 2-2160×200× cos 91 grades) =258 km.

b) Bearning P from R:

360 grades - ( 55 degrees + 38 degrees)

You might be interested in

PLEASE HELP QUICK. I'm Offering 10pt & Brainliest answer

qaws [65]

The answer is 16 x equals 7

4 0

3 years ago

Please answer this question fast in two minutes

almond37 [142]

Answer:

∠CGA or ∠DGF

Step-by-step explanation:

Supplementary angles add up 180°

∠CGD + ∠CGA = 180°

∠CGD + ∠DGF = 180°

8 0

2 years ago

Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide what is the area of the pool

Lilit [14]

Area=l*b = 379.16feet^2

8 0

3 years ago

Read 2 more answers

Jamie has saved $42 of her allowance money to buy books. If she buys 5 books at d dollars per book, she will have

Musya8 [376]

Answer:

She has 24,50$ left

Step-by-step explanation:

3,50*5 = 17,50

42$ - 17,50$ = 24,50$

4 0

2 years ago

See image for question.Please show workings and diagrams.​

See image for question.Please show workings and diagrams.