You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
Answer:
The coordinates of the midpoint of the segment are (-5.5,0,-8)
Step-by-step explanation:
In this question, we are tasked with calculating the midpoint of the segment PQ.
To calculate this, we employ the use of a mathematical formula as follows;
The coordinate of the midpoint are = {(x1+x2)/2, (y1+y2)/2 , (z1+ z2)/2}
Thus we have;
{(-7-4)/2, (3-3)/2 , (-7-9)/2} = (-11/2, 0/2, -16/2)
= (-5.5,0,-8)
Answer:
-3
hope this helps!
Step-by-step explanation:
(-1)3 - (-1) - 1 =
-3 - (-1) - 1 =
-2 - 1 = -3
