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3 years ago

In rectangular form, 6(cos120°, isin120°)

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Answer:

(-3, 3√3)

Step-by-step explanation:

Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.

6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)

= (-3, 3√3 i)

You may want the (x, y) coordinates written as (-3, 3√3).

___

In the complex plane, this is -3+i·3√3.

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If X = 2 centimeters, Y = 5 centimeters, and Z = 5 centimeters, what is the area of the object?

Elena L [17]

Answer: $35 cm^2$

Step-by-step explanation:

<em>Area of trapezium = </em>

2X = 2 + 2 = 4 cm

2Z = 5 + 5 = 10 cm

Y = 5 cm

$\dfrac{ \left( 4+10 \right) }{ 2 } \times 5$

|--------> 35 $cm^2$

6 0

1 year ago

Find the equation of the exponential function represented by the table below: above^^^^

Nikitich [7]

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

$y=a(b)^x$ where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

$3=a(b)^0$ . Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

$1.5=3(b)^1$ . Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

$y=3(\frac{1}{2})^x$

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

4 0

3 years ago

The 100th term of 70, 100, 130

fgiga [73]

Answer:

3040

Step-by-step explanation:

given arithmetic progression is

70,100,130,...

here

first term (a)=70

common difference (d)=100-70=30

number of term n=100

using the formula of arithmetic progression

an=a+(n-1)d

a100=70+(100-1)30

a100=70+99×30

a100=70+2970

a100=3040

6 0

2 years ago

Can someone help me? I’ll reward points + brainalist

Lera25 [3.4K]

Answer:

Step-by-step explanation:

The formula for the area of a trapezoid is: $\frac{1}{2}$ (height)(sum of parallel lines)

Thus, the formula in this question would be: $\frac{1}{2}$ (4)(4+8) which is option C

4 0

3 years ago

2-(-2x-4)=3x+6-x what is the answer to that?

ruslelena [56]

98--8=

Step-by-step explanation:

3 0

3 years ago