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kaheart [24]
3 years ago
11

Simplify the expression. [(11 - 4)^3]^2 ÷ (4 + 3)^5

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

<h2>7</h2>

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

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I'll start with the triangle figure. 
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#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
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Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°

#9 = 116° ; alternate interior angles are equal.
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The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.

360° / 6 = 60°
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#11 = 60° - equilateral triangle, all interior angles are equal.
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8 0
3 years ago
Ms. Griffith took a cab ride which cost $16. She gave the driver $20 and said, "keep the change." What percent did Ms. Griffith
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Answer:

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Step-by-step explanation:

Given data

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Step-by-step explanation:

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