Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin

Sin P = 0.3

P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
This is probably the answer I’m not 100% sure
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
Answer:
the x and y axis arent clear enough to tell their coordinations can you take the picture again but it has to be clear
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.