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leva [86]
3 years ago
12

What are 3 numbers whose product is about 9,000

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0
There are an infinite number of 3 number sets that will equal 9000, unless your looking for whole numbers.

If you want to find a set of whole numbers, first break 9000 into its factors:

5 * 5 * 5 * 3 * 3 * 2 * 2 * 2 = 9000

Now to find a set of 3 numbers, just combine some of the factors.
For example:

(5 * 5 * 5) * (3 * 3) * (2 * 2 * 2) = 9000
125 * 9 * 8 = 9000
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Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.
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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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Step-by-step explanation:

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so it is not a right angled triangle.

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