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USPshnik [31]
3 years ago
14

A room is 5m by 3m and has a height of 3.5m. Find the distance from a comer point on the floor to the opposite comer of the ceil

ing.
Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

Approximately 6.8m

Step-by-step explanation:

We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:

5^{2}+3^{2}=c^{2}

And now we can solve for c...

34 = c^{2}

\sqrt{34}=\sqrt{c^{2}}

c = 5.831m

Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:

5.831^{2} + 3.5^{2}=c^{2}

And now we can solve for c again...

46.25=c^{2}\\\sqrt{46.25}=\sqrt{c^2}

c = 6.8m

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An airplane flies with a constant speed of 620 miles per hour. How long will it take to
LekaFEV [45]

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

7 0
2 years ago
A sample of ore is found to be 
Kitty [74]
.83% is the answer osdndksnsjfbbdbddh
4 0
3 years ago
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A bag contains 3 red marbles, 5 green marbles and 7 blue marbles. If Janelle picks one marble out of the bag, what is the probab
lisabon 2012 [21]

3+5+7 = 15 total marbles

3 are red

 so she has a 3/15 reduces to 1/5 probability of picking a red one

8 0
3 years ago
Help me out here pleaseeeeeee
Sveta_85 [38]

Answer:

(4, 80) Which is L

Step-by-step explanation:

First number should be on the X axis and the second on the Y axis.

6 0
3 years ago
A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape
nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph.  In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2).  Plug in to find the value of a.

2 = a│1 − 5│+ 3

2 = 4a + 3

a = -¼

Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0
3 years ago
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