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daser333 [38]
1 year ago
8

Mr. Thompson has a 1-meter-square whiteboard. He creates a square with sides on his whiteboard to post a weekly puzzle. How many

square meters of whiteboard space does he use for the weekly puzzle?
Mathematics
2 answers:
Zielflug [23.3K]1 year ago
6 0

Answero

Step-by-step explanation:

i dont know

In-s [12.5K]1 year ago
5 0
1 square meter
Due ti the board being 1 meter
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What complex number is represented by the polar coordinates (4, -pi/4)
nexus9112 [7]

Answer:

\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

Hence, the complex number that has polar coordinate of (4,-45°) is \displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}

3 0
1 year ago
Pls help me i need help 10 pt
Nataly [62]
Fret seems like the best option. 
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Identify the shape (Be specific)
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I think the shape is an right angel. And for the answer to h is 90° and i think for b it is 45°. I hope this helps :)
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Barb solved the following equation: 4(3x – 12) = 5(2x + 6)
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Answer:

4(3 * 39 – 12) = 5(2 * 39 + 6)

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Step-by-step explanation:

4(3x – 12) = 5(2x + 6)

(12x - 48) = (10x + 30)

12x - 10x = 30 + 48

2x = 78

2x/2 = x

78/2 = 39

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