A) find a cartesian equation for the curve described by the given polar equation. r =3 sin g
1 answer:
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Answer:
height = 12 feet
Step-by-step explanation:
r (radius of circle) = 7 ft
pi = 3.14 (in this context)
v = 1/3 * (or pi * radius squared) * h
r squared = 49 ft
v = 1/3 3.14 * 49 * h
v = 1/3 153.86 * h
3v = 153.86 * h
v = 196π
v = 615.44
3v = 1,846.32
1,846.32 = 153.86 * h
h = 12 ft.
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
The corresponding point is (1,-4)
Step-by-step explanation:
we know that
The point (1,-8) is on the graph of f(x)
so
that means
For
therefore
For the function 1/2f(x)
For
The corresponding point is (1,-4)