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3 years ago

According to these three facts, which statements are true?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

Answer:

Circle f is a translation of circle d

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Write the vector v in the form aiplusbj, given its magnitude left norm Bold v right norm and the angle alpha it makes with the

photoshop1234 [79]

Answer:

$6\sqrt{3}i-6j$

Step-by-step explanation:

Given:

The magnitude, v=12

The angle $\alpha$ it makes with the positive x-axis = $150^0$

Now for a vector (x,y)

$\alpha =tan^{-1}(\frac{y}{x} )$ ; and

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

Therefore:

$150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}$

$y=-\frac{x \sqrt{3}}{3}$

Similarly:

$v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2$

$144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}$

Recall that:

$y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3} \sqrt{3}}{3}=-6$

Therefore: $(x,y)=(6\sqrt{3}, -6)$

The vector in the form ai+bj is therefore:

$6\sqrt{3}i-6j$

6 0

3 years ago

Find the measure of angle indicated

Rus_ich [418]

Answer:

there is no question

Step-by-step explanation:

there is no question/angle so i don't know how to help you

7 0

3 years ago

21.60 divided by 1.35 is what?

klasskru [66]

Answer:

Step-by-step explanation:

21.60 divided by 1.35=16

8 0

3 years ago

Read 2 more answers

What is the value of y in the parallelogram below?

vredina [299]

In a parallelogram, consecutive angles are supplementary.

3y + 78 = 180

3y = 102

y = 34

4 0

3 years ago

Read 2 more answers

Will name BRAINLEST!<br><br> Determine the area of the given triangle. *

xz_007 [3.2K]

Answer:

12 units

Step-by-step explanation:

A=hbb/2=6·4/2= 12

7 0

2 years ago