3 years ago

Two interior angles of a triangle each measure 34 what is the measure of the third interior angel?

Mathematics

1 answer:

Anestetic [448]3 years ago

6 0

I go I go I go I go cra a a azy

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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:

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

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3 years ago

A 3rd degree polynomial function whose graph crosses the horizontal axis more than once.

Leni [432]

There are millions of solutions I’d recommend going to desmos and putting in a polynomial to find out if it does

5 0

2 years ago

Is -56 greater than 36

postnew [5]

No it’s less than because it’s negative

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3 years ago

Read 2 more answers

Consider the linear equation y = 2x - 4. Write an equation in slope-

HACTEHA [7]

Answer: y=2x+14

Explanation:
Y=mx+b
Y= 2x-4
M=2

Y= 2x+b

2 = (2 x -6) + b
2=-12+b
12+2=12+b
-12
14=0+b
14=b

Y=2x+14

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3 years ago

The equation of a line is x + 5y = 12.

Svet_ta [14]

Answer: C: 12/5

Step-by-step explanation:

y intercept is where x is 0, so set x equal to 0

0+5y=12

y=12/5

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3 years ago