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3 years ago

12

A human factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student i

n the class. Find the minimum floor space that 87 students require

1 answer:

Aliun [14]3 years ago

6 0

I think the answer is 783 square feet.

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Simplify (Are all division)<br><br>2+4i<br>3i<br><br>3+2i<br>4+i<br><br>2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

6 0

3 years ago

The school band is selling raffle tickets for $2. If Kyle spent p dollars on tickets this week and q dollars on tickets the week

Alex

Answer:

Tickets = p/2 + q/2

Step-by-step explanation:

I don't understand the options, as written.

The answer should be Tickets = p/2 + q/2

If q = 10 and p = 20, Kyle would have bought 5 tickets the week before, and 10 tickets this week.

5 0

3 years ago

Read 2 more answers

The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the l

Elis [28]

Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.

5 0

4 years ago

The Murphys are on vacation and want to go on a helicopter tour. The tour itself costs $125 per person and they also have to pay

Inessa05 [86]

4 x 125 + 50
= 500 + 50
= $550

5 0

3 years ago

Read 2 more answers

Solve for x. Round your answer to the nearest hundredth.

Dmitriy789 [7]

Answer:

Step-by-step explanation:

Here we need to find the x for the given equation so we can use the concept of the quadratic formula to solve .

comparing the given equation with an standard quadratic equation we get

a=1

b=6

c=3

so applying the quadratic formula we get

$x=\frac{-6+-\sqrt{6^2-4*1*3} }{2*1}$

$x=\frac{-6+-\sqrt{24} }{2}$

which can be further simplified to get

x=-5.45 or x=-0.55

so correct option is <em>A</em>

4 0

3 years ago

Read 2 more answers