It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.
<h3>What is the volume of the spherical ball?</h3>
The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:
- V = 4/3 π8³
- V = 4/3 π 512
- V= 4/3 x 3.1416 x 512
- V =2144.66 cubic inches
<h3>What is the height of the new shape?</h3>
Considering the volume should be the same (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:
- 2144.66 = 14 x 16 x y ( unknown value)
- y= 2144.66 / 14 x 16
- y = 9.57
This means the height would be 9.57 inches.
Learn more about volume in: brainly.com/question/1578538
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Each student would get 4/5 bag of popcorn
Answer:
See below
Step-by-step explanation:
z = uncle's age
1/2z +3 = Sam's age
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
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To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.