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DerKrebs [107]
3 years ago
5

What is the image of (1,0) after a counterclockwise rotation of 60 degrees?

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Answer:

\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2}  \right)

Step-by-step explanation:

The coordinate has the following polar form:

\vec r = (1, 0^{\circ})

The image of the coordinate rotated counterclockwise 60° is:

\vec s = (1, 60^{\circ})

Its equivalent form in rectangular coordinates is:

\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})

\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2}  \right)

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Sue graphed the formula for converting temperatures from Fahrenheit to Celsius.
goldenfox [79]

Answer:

Answer is 10 degrees Celsius.

Step-by-step explanation:

The x value or Fahrenheit is 50 at the same spot the y value is 10

4 0
3 years ago
The area of a triangular sail is given by the expression 12bh, where b is the length of the base and h is the height. What is th
Natalija [7]

Answer:

42 square inches

Step-by-step explanation:

Area of a triangle = (1/2)(base)(height)

A = 1/2(12)(7)

A = 1/2(84)

A = 42

4 0
2 years ago
Write an equation for each problem. Then solve.
Nana76 [90]

Answer:

<em>The price is the same at both stores for 2 prints.</em>

Step-by-step explanation:

<u>Equations</u>

Let's set the variable

x = number of photo prints

Company Photo Plus charges $2 for each print and $6 for a processing fee, thus the total charges are:

PP = 6 + 2x

Company Picture Time charges $3 for each print and $4 for a processing fee, thus it charges a total of:

PT = 4 + 3x

It's required to find the number of prints that make both stores charge the same. Equating both functions:

6 + 2x = 4 + 3x

Subtracting 2x and 4:

x = 2

The price is the same at both stores for 2 prints.

4 0
3 years ago
What is the oblique asymptote of gx) = x2-3x-5?
oee [108]

Answer:

B) y=x-5

Step-by-step explanation:

Because g(x)=\frac{x^2-3x-5}{x+2} simplifies to x-5+\frac{5}{x+2}, we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be y=x-5. See the attached graph for a visual.

3 0
3 years ago
Help me please, <br><br>Calculate the external perimeter of the picture frame: <br>​
Studentka2010 [4]
Perimeter of a parallelogram = 2(l+b)
= 2 (65+42)
= 2*107
= 214 cm
8 0
3 years ago
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