3 years ago

Help me please!!!!!!!!

Mathematics

1 answer:

aleksley [76]3 years ago

6 0

prime factor stuff.. 32 = 8*4 = (4*2)*(2*2) = (2*2*2)*(2*2)

3 √(2*2*2*2*2*x*x*x*x*z) = 3 √(2²*2²*2*x²*x²*z)

It's a square root so move one of each pair outside the radical.

3*2*2*x*x √(2*z)

12x² √(2z)

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If Michael drove 135 miles on 6 gallons of gas, how far can he drive on 15 gallons of gas?

laiz [17]

Answer:337.5 miles

Step-by-step explanation:

Find the unit rate 135/6 = 22.5/1

He can drive 22.5 miles on 1 gallon of gas

Then multiply by 15

22.5x15= 337.5

6 0

3 years ago

PLEASE can someone explain why The exact value of sec ( π/6) is 2 /√ 3 ??

Umnica [9.8K]

$\bf sec\left( \frac{\pi }{6} \right)\qquad recall\to sec(\theta)=\cfrac{1}{cos(\theta)}\qquad thus
\\\\
sec\left( \frac{\pi }{6}\right)\iff \cfrac{1}{cos\left( \frac{\pi }{6}\right)}
\\\\\\
\textit{check your Unit Circle for what the }cos\left( \frac{\pi }{6}\right)\ is
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\cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}\implies 
\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{2}{\sqrt{3}}$