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Answer:
4
Step-by-step explanation:
The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation.
×10−9
<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
<span>(2√3 - 2√-3) + (√12 - √-12)
</span>=2√3-2√3i+2√3-2√3i
=4√3-4√3i