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3 years ago

Last year, Ken bought a $300 mountain bike. His bike has depreciated by 20% since he bought it. What is

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

1 tree makes approximately 230 newspapers. Estimate (by rounding each number to 1 S.F.) how many newspapers 56 trees will make.

g100num [7]

Answer:

56 trees will make 10000 newspapers.

Step-by-step explanation:

Given:

One tree makes approximately 230 newspapers.

Now, for estimating how many newspapers will be made with 56 trees.

By multiplying $56$ trees with $230$ newspapers we get,

$56\times230=12880$ .

And, rounding $12880$ to one significant number (1 S.F.) is $10000$ .

Therefore, 56 trees will make 10000 newspapers.

6 0

3 years ago

Read 2 more answers

Opinions please! Get Points! Im doing a research paper in school for English (and part math) and my topic is "Is NASA a Waste of

Irina-Kira [14]

The thing with nasa is that when they use money to build and land things such as space rovers or space shuttles, the money that is used is put back into the economy instead of just floating in space. So the idea that its a waste could easily be debunked by the fact that the money that is used is still in the economy, whether or not you believe the exploration of space is needed could also be a solid point for your paper. Hope that I could help, Good luck with your paper

7 0

3 years ago

Please help will give brainliest 8

MariettaO [177]

Answer:

It's B trust me.

Step-by-step explanation:

Trust me

5 0

3 years ago

Who knows BAD BUNNY I AM watching him?

timurjin [86]

I do not sorry about that

4 0

3 years ago