Answer:
10
β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10β on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10β.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10β cos(β)
But since cos(β) is already present, we can see that the answer is 10β
The true statement is the circle has the radius equal to 7.
<h3>What is Equation of circle?</h3>
The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.
As, standard form of equation of circle is
(x-h)² + (y-k)² = r²
At origin, equation of circle will be
(0-h)² + (0-k)² = r²
r² = x² + y²
Now, The line intersects the circle at (0,7)
r² = 0² + 7²
r² =49
r=7.
Hence, the circle has the radius equal to 7.
Learn more about this concept here:
brainly.com/question/11702700
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An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
<h3>What is the formula for the amplitude?</h3>
Therefore, the an equation for water level in june for pensacola as a function of time (t)
To learn more about the function of time visit:
brainly.com/question/24872445
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
__
Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
