Answer:
Step-by-step explanation:

Answer:
D. 135°
Step-by-step explanation:
Time is 1:30
The minute hand traveled half of full circle
The minute hand position is:
The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle
The hour hand position is:
the difference between the hands:
Choice D. 135° is the correct one
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
74 mph
Step-by-step explanation:
step 1
Find the total time
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm
so
from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours
from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours
The total time is
5.5+11.75=17.25 hours
step 2
Find the average speed
we know that
The average speed is equal to divide the total distance by the total time

Answer:
69
Step-by-step explanation:
nice ;)