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sveta [45]
2 years ago
14

Draw the following traingle after a 90 clockwise rotation about the origin

Mathematics
1 answer:
Simora [160]2 years ago
6 0
The coordinates are (-5, 3), (-3, 6), (-6,6)
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Please Help! I'm stuck on this question. Show all work!
Valentin [98]

Add all the displacement vectors together, then find the magnitude of this vector sum.

\vec r_1=(72\,\mathrm{km})(\cos60^\circ\,\vec\imath+\sin60^\circ\,\vec\jmath)

\vec r_2=(48\,\mathrm{km})(\cos270^\circ\,\vec\imath+\sin270^\circ\,\vec\jmath)

\vec r_3=(100\,\mathrm{km})(\cos150^\circ\,\vec\imath+\sin150^\circ\,vec\jmath)

Summing these vectors gives the resultant displacement

\vec r=\vec r_1+\vec r_2+\vec r_3\approx(-50.6\,\vec\imath+64.4\,\vec\jmath)\,\mathrm{km}

and we have

\|\vec r\|=\sqrt{(-50.6)^2+64.4^2}\,\mathrm{km}\approx\boxed{81.9\,\mathrm{km}}

so the plane ends up about 81.9 km away from its starting position.

6 0
3 years ago
Evaluate the expression if x = 3 and y = 11. 3x + 2y 21 31 42 244
Dmitrij [34]

Answer:Here, Just substitute their values, 4x + 3y= 4(3) + 3(6)= 12 + 18= 30In short, Your Answer ...

Step-by-step explanation: i am good at math lol

5 0
2 years ago
Multiply 5/8⋅4/5.<br> Simplify the answer, if possible. <br> 9/13 <br> 1 1/740 <br> 20/40 <br> 1/2
Fofino [41]

Answer:

1/2

The LCD is 40, so find the rest using expressions and comparisons.

  • 8 × 5 = 40

5/8 × 4/5 = 20/40

  20 ÷ 20 = 1

  40 ÷ 20 = 2

6 0
2 years ago
One root of f (x) = x cubed minus 4 x squared minus 20 x 48 is x = 6. What are all the factors of the function? Use the Remainde
sertanlavr [38]

Answer:

C )  ( x - 2 ) ( x + 4 ) ( x - 6 )

Step-by-step explanation:

.

8 0
2 years ago
Read 2 more answers
Which of the following sets of numbers could represent the three sides of a right triangle
MissTica

Answer:

The pythagorean theorum states that the longest side of the right triangle (hypotenuse), squared, is equal to the sum of the squares of the 2 other sides

Its expressed as so:

c^2=a^2+b^2

Therefore,

{36, 48, 60} is correct

Step-by-step explanation:

6 0
3 years ago
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