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3 years ago

6) On Saturday afternoon tickets

Mathematics

1 answer:

dangina [55]3 years ago

4 0

Answer:

It will take 10 hours

Step-by-step explanation:

first you subtract 150 from 900 (900-150) to get 750. next you divide 750 by 75 since that is the rate the tickets are being sold (750÷75) which would equal to 10.

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A vector u has a magnitude of 15 and a direction of 0 degrees. A vector v has a magnitude of 9 and a direction of 35 degrees. Fi

umka2103 [35]

Answer:

$\displaystyle \alpha \simeq 13^o$

$\displaystyle \left | \vec{u}+\bar{v} \right |\simeq 23$

Step-by-step explanation:

<u>Sum Of Vectors</u>

Given

$\displaystyle \vec{u}=, \vec{v}=$

the sum of both is

$\displaystyle \vec{u}+\vec{u}=$

Given a vector

$\displaystyle \vec{x}=$

The magnitude of \vec x is

$\displaystyle \left | \vec{x} \right |=\sqrt{m^2+n^2}$

And the angle is forms with the positive x-axis is

$\displaystyle tan\alpha =\frac{n}{m}$

We have

$\displaystyle \vec{u}=$

Also

$\displaystyle \vec{v}=$

$\displaystyle \vec{v}=< 7.372,5.162>$

The sum of both vectors is

$\displaystyle \vec{u}+\vec{v}=$

The magnitude of the sum is

$\displaystyle \left | \vec{u}+\vec{v} \right |=\sqrt{22.732^2+5.162^2}=22.96$

We compute the angle (direction)

$\displaystyle tan\alpha =\frac{5.162}{22.732}=0.227$

$\displaystyle \alpha =12.79^o$

Rounding to the nearest integer

$\displaystyle \alpha \simeq 13^o$

Rounding the magnitude

$\displaystyle \left | \vec{u}+\bar{v} \right |\simeq 23$

5 0

3 years ago

A. 12 + 4x = 6x + 10 – 2x

GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) $12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10$