Answer:
Below.
Step-by-step explanation:
Angle 1 = (3/(3+4+5) * 180 = 3/12 * 180
= 45 degrees.
Angle 2 = 4/12 * 180 = 60 degrees.
Angle 3 = 5/12 * 180 = 75 degrees.
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
12
Step-by-step explanation:
A profit, or money you have, or money you deposit in a bank account is usually positive.
A debt, or money you withdraw from a bank account, or money you give away is usually negative.
Answer: 12
36:20 18:10
-------- = -------- = 9:5
2 2
We are given a figure where M, N , O and P points are given.
We need to explain if points O, N, and P collinear or not.
Note: All co-linear points are in a straight line.
From the figure, we can see that <em>O and N points are in a straight line but point P is aside.</em>
So, the points O, N, and P are not collinear.
Therefore, correct option is "<u>No, the three points are not collinear</u>".