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2 years ago

Simplify -6 1/4 - (-2 1/8)

1 answer:

6 0

$- 6 \frac{1}{4} + 2 \frac{1}{8}$

$- 6 \frac{1}{4} - (- 2 \frac{1}{8} )$

$(-6 + 2 ) + ( -\frac{1}{4} + \frac{1}{8} )$ )

(-4) + ( - $\frac{1}{8}$ )

$- 4 \frac{1}{8}$

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Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. [one half (cosine

Morgarella [4.7K]

Answer:

$(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09$

Step-by-step explanation:

The complex number given is

$z = (\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2}$

Now, remember that the DeMoivre's theorem states that

$( \cos(x) + i\sin(x) )^n = \cos(nx) + i\sin(nx)$

Then for this case we have that

$(\, \cos(\frac{\pi}{16}) + i\sin(\frac{\pi}{16}) \,)^{1/2} = \cos(\frac{\pi}{32}) + i\sin(\frac{\pi}{32}) = 0.99 + i0.09$

7 0

2 years ago

Find the length of PF

stepan [7]

Answer: 6

Step-by-step explanation:

8 0

1 year ago

The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area? square units

Tasya [4]

Answer:

28 units²

Step-by-step explanation:

Assume that your net has the dimensions shown below.

Its area is

2 yellow rectangles = 2(4 × 2) = 2 × 8 = 16 units²

2 grey rectangles = 2(4 × 1) = 2 × 4 = 8 units²

2 green rectangles = 2(2 × 1) = 2 × 2 = <u> 4 units²</u>

TOTAL = 28 units²

The prism's surface area is 28 units².

5 0

2 years ago

Read 2 more answers

Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi

Maksim231197 [3]

Given:

The equation is:

$x(4+5)=54$

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

$a(b+c)=ab+ac$

We have,

$x(4+5)=54$

Using the distributive property, we get

$x(4)+x(5)=54$

It can be written as:

$4x+5x=54$

Therefore, the next step of the simplification is $4x+5x=54$ .

5 0

2 years ago

HALP PLEASE

Sergeeva-Olga [200]

Answer:

A: -2

Step-by-step explanation:

Hopefully this helps!

5 0

2 years ago