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4 years ago

Simplify using log properties: −log1/100 -10 2 -2 1/2

Mathematics

1 answer:

Andreyy894 years ago

5 0

The answer is 2 .

simplify log(down)10 (1/100) : -2

apply log rule : -log(down)10 (100)

rewrite 100 in power-base form : -log(down)10 (10^2)

apply log rule again : -2log(down)10 (10)

apply one more time : -2*1

Multiply : -2

refine from -(-2) = 2

I hope this helps

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3 years ago

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3 years ago

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Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

⇒ Drawing length = 18 cm = 0.18 m

By definition of proportion:

$\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}$

Substitute the given values we have;

$\frac{120}{90}=\frac{0.18}{\text{Drawing width}}$

By cross multiply we have;

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Therefore, the other side of the drawing width is 13.5 cm

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