Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
Paul has 70 Total sport cards.
3 (Baseball) + 3 (Football) + 4 (Baseball) = 10 (Total cards per pile) × 7 (Total Piles) = 70 (Total Cards
3+3+4=10×7=70
(All shown work is this ^)
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The answer is
Thirty residents who live within a 2 mile radius of natashas school.
Answer:
2144.66 cubic inches
Step-by-step explanation:
The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.
What is the closest value of water in the Fishbowl in cubic inches?
From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.
This means we are to find the volume.
The volume of a sphere is given as:
4/3πr³
We are given Diameter of the fish bowl = 16 inches
Radius = Diameter/2 = 16 inches/2
= 8 inches
Hence,
Volume of the sphere (Volume of water) = 4/3 × π × 8³
= 2144.66 cubic inches
We are asked to express r in terms of A, P, and t.
We first divide both sides of the equation by t, which gives us

,
then, dividing both sides by P, we have

.
Swap the sides:
Finally subtracting 1 from both sides gives us

.