We are given that the angle a is the right angle. So let
us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the
hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or
angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration
of the triangle.
The radius of the area the sprinkler has watered is 8.06 yards.
<h3>What is Rotation ?</h3>
Rotation is spinning around a fixed point with a fixed radius in circular motions.
It is given that a sprinkler rotates 360 degree
The area watered is 204 sq. yards
Radius = ?
A sprinkler rotates in circle
Therefore the area of the circle = π r²
204 = π r²
204 * 7 /22 = r²
r² = 64.91
r = 8.06 yards
Therefore the radius of the area the sprinkler has watered is 8.06 yards.
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Answer:
b. multiply the bottom equation by 2
Step-by-step explanation:
it would eliminate y
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
<h3>Simple Interest</h3>
From the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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