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Elanso [62]
3 years ago
5

Andy is buying a car. He negotiated a 7% decrease on a £6500 car. He will pay the full balance in 12 equal monthly payments. Cal

culate the amount paid each month
Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
He would pay 503.75 every month
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the circumference is 30 cm,

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2) Is V23 a rational or an<br> irrational number?
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The population of a city decreases by 4.6% per year. If this year's population is
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3 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}.

7 0
3 years ago
Read 2 more answers
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