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ryzh [129]
3 years ago
10

A rain storm came through Clifton park and it was accumulating 2/3 inches of rain/hour. How many inches of rain would fall in 6

hours if it continued at this rate?
Mathematics
1 answer:
nlexa [21]3 years ago
4 0

4 inches of rain would fall in 6 hours

<h3><u>Solution:</u></h3>

Given that, A rain storm came through Clifton park  

And it was accumulating \frac{2}{3} inches of rain/hour

So amount of rain accumulated in 1 hour = \frac{2}{3}

Thus amount of rain accumulated in six hours is calculated by multiplying the amount of water accumulating per hour and 6

Amount of water accumulated in 6 hours = Amount of water accumulated in 1 hour \times 6

\text { Amount of water accumaulated in 6 hours }=\frac{2}{3} \times 6=4

<em><u>Another way:</u></em>

Let "n" be the amount of rain accumulated in 6 hours

1 hour ⇒ \frac{2}{3} rain accumulated

6 hours ⇒ "n"

By cross multiplication, we get

6 \times \frac{2}{3} = 1 \times n\\\\n = \frac{2}{3} \times 6 = 4

Hence, 4 inches of rain would fall in 6 hours.

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A city with a population of 300000 is growing at a rate of 2% per year. What will it be in 20 years.
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Is over of = percent over 100
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2 years ago
A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously m
lukranit [14]

Answer:3.677 miles

Step-by-step explanation:

First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones

I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h

From the diagram, we use the tan rule for right angle triangles to find x and h

Tan22=h/x

Making her the subject of formula

h=xtan22 (1)

Similarly

Tan20=h/(x+1)

h=(x+1)tan20 (2)

Putting (1) and (2) together

We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent

Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)

Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)

8 0
3 years ago
Consider this equation <br> 3x+ 1=2x-5
Otrada [13]

Answer: x=-6

Step-by-step explanation:

Add 5 to both sides to get 2x by itself

Yes, subtract 1 from both sides to get 3x by itself so you can subtract 2x as to not get a negative x value

One common mistake would be to accidentaly adding or subtracting 1 or 5 when they are supposed to be added/subtracted. To avoid this just go back and check your awnser by plugging it in.

3 0
2 years ago
NO SCAM PLEASEEEE
damaskus [11]
The answer is 11/36

2/12 chance of rolling fours

because there are 2 sides containing a four on both dice combined and 12 sides in total.

Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.

I personally like to imagine a box like this:
_ _ _ _ _ _
|
|
|
|
|
|

If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.

1/6 * 1/6 = 1/36 chance to roll double of ones

And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:

1/36 * 5 = 5/36

So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:

5/36 + 2/12 =

5/36 + 6/36 =

11/36
5 0
2 years ago
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