Answer:
1/4
Step-by-step explanation:
Distribute.
7 - 7y = -3y + 6
Get all ys on one side
7 = 4y + 6
Get constants all on one side.
1 = 4y
Divide
1/4 = y
Answer:
The distance between the tree and the tower is 18.48 meters.
Step-by-step explanation:
We are given the following information in the question:
Height of tower = 30 m
Height of man = 2 m
Angle of depression = 30 degrees
We have to find the distance between the tree and the tower.
The attached image shows the scenario.
Formula:
Thus, the distance between the tree and the tower is 18.48 meters.
All we do is divide 24 by 4
sooo
24 ÷ 4 = 6
So there are about 6 offices on each floor.
:)
x = first integer
x+1 = integer right after x
For example, if x = 10, then the next one after that is x+1 = 10+1 = 11. So 10 and 11 are consecutive integers (one follows right after the other)
The sum of those two integers x and x+1 add to x+x+1 = 2x+1
This sum is no more than 209, therefore,
Therefore the largest x can be is 104
If x = 104, then x+1 = 104+1 = 105
<h3>Final Answer: 105</h3>
Note how 104+105 = 209, which helps confirm the answer
The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3