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3 years ago

A ratio compares the relative sizes of ______ quantities .

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

two

Step-by-step explanation:

A ratio compares the relative sizes of two quantities .

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3 years ago

Find 30% decrease from 95<br> 68.40<br> 63.20<br> 66.50

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2 years ago

Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.

mart [117]

Answer:

$a\cdot b=-2000\sqrt{2}$

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product a · b.

The formula of dot product is

$a\cdot b=|a||b|\cos \theta$

where, θ is the angle between a and b.

Substitute the given values in the above formula.

$a\cdot b=(80)(50)\cos (\frac{3\pi}{4})$

$a\cdot b=4000\cos (\pi-\frac{\pi}{4})$

$a\cdot b=-4000\cos (\frac{\pi}{4})$ $[\because \cos (\pi-\theta)=-\cos \theta]$

$a\cdot b=-4000\frac{1}{\sqrt{2}}$

$a\cdot b=-\frac{4000}{\sqrt{2}}$

Rationalize the above equation.

$a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}$

$a\cdot b=-\frac{4000\sqrt{2}}{2}$

$a\cdot b=-2000\sqrt{2}$

Therefore, the value of a · b is $a\cdot b=-2000\sqrt{2}$ .

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3 years ago

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makkiz [27]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

A ratio compares the relative sizes of ______ quantities .​

A ratio compares the relative sizes of ______ quantities .