Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
<h2>T
he required "option c) 4.3" is correct.</h2>
Step-by-step explanation:
Given,
Total number of multiple choice questions = 17
To find, the mean for the number of correct answers = ?
Each question has four possible answers.
If guessing at random:
There is only one in four chances.
= 25 % chance of getting a particular question right.
This is the same probability for each of the 17 questions.
If there is a 25 % chance of getting any given question right.
There are 17 questions.
∴ The total number of questions you will expect to get right =
25 % × 17
= 
= 
= 4.25
≈ 4.3
∴ The mean for the number of correct answers = 4.3
Thus, the required "option c) 4.3" is correct.
Answer:
Reflection across y=0
Step-by-step explanation:
The Y axis splits the octagon in half, so if it was reflected it would be mapped onto itself.
We have such system of eq

First lets solve second eq
7x=21 /:7 divide both sides by 7
x=3
Now we can substitute it to first equation
9x-2y=19
9*3-2y=19
27-2y=19 /-27 subtract 27 both sides
-2y=-8 /:(-2) divide both sides by -2
y=4 - its the answer
Answer:
1= between 1 or 0
2= greater thean one
3= equal to 1
Step-by-step explanation:
Im pretty sure these are right but 1 and 2 might be opposite but im pretty sure im right :)