Answer:
BC=√7
Step-by-step explanation:
AC=4
AC=AH+HC
=3HC+HC
=4HC
HC=1/4AC=1/4×4=1
AH=3HC=3×1=3
BH⊥ AC
AB=AC=4
Beach ball with diameter of 24 inches what is the volume of air in the beach ball to the nearest of a cubic foot?
1 answer:
Answer:
4 ft³
Step-by-step explanation:
From the question;
- Diameter of the beach ball is 24 Inches
We are required to determine the volume of the air in the beach ball;
- We need to know that the volume of the air is the same as the volume of the beach ball.
- The ball is in the shape of a sphere
Radius = 12 inches
But, 1 ft = 12 inches
Thus, radius = 1 ft
Therefore;
Taking pi as 3.142
Volume = 4/3 × 3.142 × 1³
= 4.189 ft³
= 4 ft³ (nearest cubic foot)
Therefore, the volume of the air in the beach ball is 4 ft³
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Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>
(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:
Collect like terms and subtract 4 from both sides:
Complete the square for both variables by adding the square of half of the coefficient of and
to both sides:
Factor both variables:
Therefore:
- center = (-2, 6)
- radius = √36 = 6