Furthest from 0, so I am going to take the absolute value of these numbers. The absolute value will tell us how far away from 0 these numbers are.
|-1/2| = |- 0.5| = 0.5
|8/9| = |0.88| = 0.88
|0.2| = 0.2
so the number furthest from 0 is 8/9
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
For the expression
, the coefficient of the x² term is 1.
Answer:
i can't seee the question is only the options i am seeing
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
