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VARVARA [1.3K]
3 years ago
10

Rotate the vector (0,2) 270 degrees counterclockwise about the origin

Mathematics
1 answer:
SashulF [63]3 years ago
3 0
<h3>Answer:  (2,0)</h3>

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

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5 times x to the one fourth power
skelet666 [1.2K]

Answer:

<em>5</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>4</em>

<em>X </em><em>=</em><em> </em><em>2</em><em>0</em><em> </em>

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3 0
3 years ago
Sharon was going through the financial records of her company. The profit earned by the company, p(t), over time t, in years, fo
FromTheMoon [43]
For this case what we must do is find a quadratic function that is already factored.
 This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
 In this case, the zeros of the function represent the time at which the company did not make any profit.
 We have the following equation:
 p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
 We observed that there was no gain in:
 t = 3
 t = 5
 The other roots are discarded because they are negative
 Answer:
 
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
5 0
3 years ago
Using scientific notation, what is the solution to (2.82 * 104) * (3.1 * 103)?
MArishka [77]

Answer: Choice A) 8.742 * 10^7

=====================================

Work Shown:

(a * 10^b) \times (c * 10^d) = a*c*10^{b+d}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 2.82*3.1*10^{4+3}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 8.742*10^{7}\\\\

Extra info:

8.742 * 10^7 = 87,420,000

which is a little over 87.4 million

6 0
3 years ago
Evaluate -x+4 when x = -2
musickatia [10]

Answer:

<h2>6</h2>

Step-by-step explanation:

f(x)=-x+4

f(-2)=-(-2)+4

f(-2)=+2+4

f(-2)=6

8 0
3 years ago
Read 2 more answers
In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter
Elenna [48]

Answer:

22 feet

Step-by-step explanation:

Given

  • In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
  • The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}

\frac{l}{b} =\frac{L}{B} \\B\times l=L \times b\\B= \frac{L \times b}{l}=\frac{7 \times 1}{1.75} =4

Therefore Breadth actually=4 feet

⇒Perimeter

=2\times(length+breadth)\\=2\times(7+4)\\=2\times(11)\\=22

Therefore perimeter of rectangular balcony= 22 feet

5 0
3 years ago
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