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:
16 inches
Step-by-step explanation:
<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>
<u>Given</u>
- Diameter of the wheel = 16 in
<u>Full circumference of the wheel </u>
<u>Bike moves </u>
<u>The wheel turns:</u>
We only consider her 0.5 of full turn of the wheel to identify the screw position
Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.
This is the full diameter length, which is 16 inches
So correct answer option is 16 inches
Answer:
the revenue recognized is $1,275
Step-by-step explanation:
The computation of the revenue recognized is shown below:
= Number of boxes of strawberries sold to customers × price per box
= 85 boxes × $15
= $1,275
Hence, the revenue recognized is $1,275
We simply applied the above formula and the same should be considered
Also
= 130 - 85
= 45 boxes would not be recognized as sale is not made
Answer:
6
Step-by-step explanation: 4^2 - 8 / (1+3) x 5 = 4^2 - 8 / 4 x 5 = 16 - 8 / 4 x 5 = 16 - 2 x 5 = 16 - 10 = 6
Answer:
You would move 10 units to the right from zero on the x-axis.
