The answer is 73 because 8 is more than 5 so it rounds up to be 73
Answer:
2414.42 cm^2
Step-by-step explanation:
volume = base x height
and we know that a cube will always have the same length for any side so volume is basically length^3
volume = length^3
8073 = x^3
x = ![\sqrt[3]{8073}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8073%7D)
use a calculator and you get that x = 20.06 cm
Surface area(SA) = 6a^2 (a is area)
a = x^2
so SA = 6(20.06)^2 = 2414.4216 ≈ 2414.42 cm^2
The solar system is the gravitational bound system comprising the sun and the objects that orbit it.
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xy = 32 makes y = 32/x
z² = (32/x)² + (x/2)²
<span>Isolate z
</span>z = 32/x + x/2
Find dz/dx
fr(z) = (x² - 64)/ (2x²)
<span>Set z' = 0, algebraically solving for x having
</span>x +- 18
<span>Since you cannot have a dimension of -8, the only answer for x is 8.
</span>
<span>Go back to the original area equation; 32 = xy and plug in x making
</span><span>32 = 8y
</span><span>y = 4</span>
Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1