Answer:
F
Step-by-step explanation:
Using the properties of 45-45-90 triangles
8=x*sqrt(2)
4sqrt(2)=x
Answer:
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as
Answer:
448.69 in^3
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
We want to use diameter, so we can substitute r = d/2 into the formula:
V = (4/3)π(d/2)^3 = (4/(3·8))πd^3
V = (π/6)d^3
For the given numbers, ...
V = (3.14/6)(9.5^3) ≈ 448.69 in^3 . . . . volume of a basketball
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
