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Alekssandra [29.7K]
3 years ago
15

Write as a unit rate. $300 per 6 hours. A 50 hours per dollar B $50 per hour C $0.20 per hour D 0.2 hours per dollar

Mathematics
1 answer:
jonny [76]3 years ago
4 0
The correct answer is B) $50 per hour. Hope this helps!
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Convert 0.79 tons to pounds?
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What is the value of the expression 10-1/2^4x48
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7

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Step-by-step explanation:2r

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2 years ago
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}

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1 year ago
800 is 100 times as much as
Slav-nsk [51]
800/100 = 8
800 is 100 times as much as 8
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3 years ago
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