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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Answer:
(0.88, 0,65)
Step-by-step explanation:
what do we have to do ? I assume we need to find the crossing point between the 2 lines.
when looking at the graphic, we can already rule out the first, third and fourth option.
none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.
so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).
but let's check.
y = -2x/5 + 1
y = 3x - 2
for the crossing point both functions must produce the same functional value.
=>
-2x/5 + 1 = 3x - 2
-2x/5 + 5/5 = 15x/5 - 10/5
-2x + 5 = 15x - 10
15 = 17x
x = 15/17 = 0.88...
y = 3×0.88... -2 = 0.65...
hurray, our original observation and "suspicion" is confirmed.
I don’t think you can solve by using quadratic equation
Change the fraction into a decimal
The answer is $45 it wasn’t that hard