Simplify the ration expression

start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

however, only when

since

when you cancel out the x-2, you're left with 3
hence, your answer is C
B
the volume (V) of a sphere =
πr³
We require to know the radius r to calculate the volume
using surface area of a sphere = 4πr² = 615.752
divide both sides by 4π
r² =
= 49.0248...
take the square root of both sides
r =
≈ 7, hence
V=
× π × 7³ = 1436.76 m³ → B
Answer:
B
Step-by-step explanation:
Using the Sine Rule in ΔABC
=
= 
∠C = 180° - (82 + 58)° = 180° - 140° = 40°
Completing values in the above formula gives
=
= 
We require a pair of ratios which contain b and 3 known quantities, that is
= 
OR
=
→ B
Answer:
11
Explanation:
(next time, it would be helpful to include a picture)
If you were on the same test as I was, than that means that the triangle you're looking for is the one below.
Using the Pythagorean Theorem,
a² + b² = c² is the same as c² - b² = a²
c = 61
61^2 = 61 X 61 = 3,721
b = 60
60^2 = 60 X 60 = 3,600
Next, we subtract:
3,721 - 3,600 = 121
√121 = 11
(x = 11 cm)
so 11 is your answer
For the equation to work, you have to have the same number on both sides of the equal sign
so to find ?, you can do:
13 - 2 = 12 - ? Simplify
11 = 12 - ? Subtract 12 on both sides
-1 = - ? Multiply -1 on both sides
1 = ?