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3 years ago

Express 5.412 hours to the nearest minute

Mathematics

2 answers:

Agata [3.3K]3 years ago

8 0

Answer:323.72

Step-by-step explanation:

Begin by multiplying 60 by 5 hours.

Then 60 minutes by 0.412

uysha [10]3 years ago

5 0

Step-by-step explanation:

$1h = 60min \\ 5.412h = x \\ \\ cross \: \: \: multiple \\ 1x = 60 \times 5.412 \\ 1x = 324.72 \\ \frac{1x}{1} = \frac{324.72}{1} \\ x = 324.72min$

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A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.

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1. Divide wire b in parts x and b-x.

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= $\frac{1}{2}sin60^{o}side*side= \frac{1}{2} \frac{ \sqrt{3} }{2} (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}$
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3. Let x be the circumference of the circle.

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be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

f'(x)= $\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x$ =0

$\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0$

$(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b$

$x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

6. So one part is $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$ and the other part is b- $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

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3 years ago

Read 2 more answers

If the market price for chair is $24 in the marginal cost for the chairs seven dollars the marginal revenue from the chair would

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$17 (it's just the market price - the marginal cost)

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