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KATRIN_1 [288]
3 years ago
8

-2/3x3/5+5/2-3/5*1/6

Mathematics
1 answer:
love history [14]3 years ago
3 0
0.023 I think please mark me brainliest

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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
4 years ago
The mean age of 5 people in a room is 28 years.
lina2011 [118]

Answer:

174

Step-by-step explanation:

You should look at the mean and do this:

5*28 so now you know all the ages which is 140 now you do 140/29 and you get 4.8....... so you  can see that the answer is 174

4 0
3 years ago
Please help me answer the question in the picture
coldgirl [10]

Answer:

D. y-5 = 3(x+1)

Step-by-step explanation:

Slope of the perpendicular line is 3.

Slope intercept form is,

y-5 = 3 (x-(-1))

y-5 = 3(x+1)

4 0
3 years ago
Your friend gives you a simple regression fit for predicting house prices from square feet. the estimated intercept is –44850 an
Zina [86]

Answer:

  3022.08 . . . dollars per square meter

Step-by-step explanation:

The slope is multiplied by the factor that changes units:

  (280.76 dollars/ft²)×(1 ft²)/(.092303 m²) ≈ 3022.08 dollars/m²

3 0
3 years ago
What is the answer???
Lapatulllka [165]
Is either I’m blind and can’t see or the letter are way too small
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