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CaHeK987 [17]
3 years ago
5

the population of chicago is about 3,000,000. how does that compare to the total number of dead and wounded (37,000,000) in worl

d war 1. (give your answer as a fraction)
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
37,000,000-3,000,000=34,000,000=(34,000,000)/1

The population of Chicago is 3,000,000. That's 34,000,000 less than the amount of people who died and became wounded during World War 1.
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Write the complex number in the form a + bi.
bonufazy [111]

Answer:

\frac{3}{2} + \frac{3\sqrt{3} }{2} i

Step-by-step explanation:

Using the exact value

cos60° = \frac{1}{2} and sin60° = \frac{\sqrt{3} }{2}, then

3(cos60° + isin60°)

= 3( \frac{1}{2} + \frac{\sqrt{3} }{2} i) ← distribute by 3

= \frac{3}{2} + \frac{3\sqrt{3} }{2} i ← in the form a + bi

7 0
4 years ago
Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and
Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

<em>Note : Figure given is for reference to understand better.</em>

<em>Where redline is for given line and blueline for new line</em>

<em />

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

8x-4y=5

8(0)-4y=5

y=\frac{-5}{4}

When y=0, x=?

8x-4y=5

8x-4(0)=5

x=\frac{5}{8}

We get points A(0,\frac{-5}{4}), B(\frac{5}{8},0)

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B  will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point A(0,\frac{-5}{4}) from origin is ( \frac{-5}{4})  unit in x-direction and zero \frac{-5}{4})  unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is A'(0,-10)

For point B:

Distance of point B(\frac{5}{8},0) from origin is (\frac{5}{8}) unit in x-direction and zero unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is B'(5,0)

Step 3: Find Equation of new line.

Points A'(0,-10) and B'(5,0) make a new line

The equation of given as

\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}

\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}

\frac{y+(10)}{x} = 2

\frac{y+(10)}{x} = 2

y+10= 2x

y= 2x-10

Now, Comparing with the equation of the line : y=mx + c

Where m=slope and c is the y-intercept

We get, Slope m=2 and y-intercept c=(-10)

8 0
3 years ago
He sears tower in chicago is 1454 feet tall. calculate its height in meters.
melomori [17]
<span>The Sears Tower is about 443.2 meters tall. To convert from feet to meters, simply multiply by 0.3048. So 1454 * 0.3048 = 443.1792 meters. Since we only have 4 significant figures, the result should also be rounded to 4 significant figures, so we get 443.2 meters.</span>
7 0
4 years ago
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BlackZzzverrR [31]

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

8 0
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If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area?
konstantin123 [22]

Answer:

The answer is no 1:

3x ^{2}  + 23x + 14

5 0
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