Step-by-step explanation:
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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:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
Amos can buy 15 cantaloupes
Answer: in explanation
Step-by-step explanation
Sandi can perform 1/9 of the task in a day
Eva can perform 1/5 of the task in a day
Working together, they can perform
1/9 + 1/5 of the task per day
= 5/45 + 9/45 = 14/45 of the task in a day
or 45/14 days in the task = 3.2 days
So
It would take about 3.2 days to complete the task working togethe
