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Delicious77 [7]
3 years ago
6

HELP FAST PLEASE

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
3 0
By using <span>Euler’s formula which state that:

            e∧(iΘ)  = cos Θ + i sin Θ

So,     z₁ = 2 ( cos π/6  + i  sin </span>π/6 ) = 2 e∧(i <span>π/6)
And    </span><span>z₂ = 3 ( cos π/4  + i  sin π/4 ) = 3 e∧(i <span>π/4)

Then </span></span>z₁ * z₂ = 2 e∧(i π/6) * <span>3 e∧(i π/4) = 6 </span><span>e∧[i (</span><span>π/6 + π/4)]
                    = </span><span>6 e∧(i 5<span>π/12)
                    = 6</span></span><span> ( cos 5π/12  + i  sin 5π/12 )</span>
ladessa [460]3 years ago
3 0

1.d

2.b

3.d

4.a.

Just took the test. ur welcome. ♥♥♥

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb
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Answer: 4x^{2}+80x-500=0

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with <em>x,</em> it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

A=l*w

Where l is the lenght and w is the width.

You have that the lenght and the width in feet are:

l=30\\w=10

3. Let's call x the width of the roped-off area. Then, the combined area is:

A_c=l_c*w_c

Where

A_c=800

l_c=l+x+x=30+2x

w_c=w+x+x=10+2x

4. Substitute values and simplify. Then:

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