Assuming that the container and books are rectangular, the volume of both objects can be computed with the formula V=lwh, where l is length, w is width, and h is height.
As the volume of the container is 1728 m^3, while the volume of each book is 1920 cm^3. The volume for each book is converted to in terms of meters by dividing it with 100^3. The volume for each book after this conversion is 1.92 x 10^-3 m^3.
The number of the books that can fit in the shelf is the volume of the shelf divided by the volume of the books, with the assumption that the books fit perfectly in the shelf.
With the volume of the shelf divided by the volume of the books, 900,000 books can be fitted in the shelf.
Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
- <u>Yes, Hank will have the pool drained in time</u>.
Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
- Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
- Available time = 360 minutes
Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
- Volume of the pool = Deep * Long * Wide
- Volume of the pool = 2 m * 10 m * 8 m
- Volume of the pool = 160 m^3
Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
Now, we use a rule of three:
If:
- 1 m^3 ⇒ 264.172 gal
- 160 m^3 ⇒ x
And we calculate:
(We cancel the unit "m^3)- x = 42267.52 gal
At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
- Time to drain the pool =
(We cancel the unit "gallon") - Time to drain the pool = 325.1347692 minutes
- <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)
As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.
Answer:
35º
Step-by-step explanation:
90-55 = 35º
I think there's an image needed to answer this question?
I tried answering without, but you do need the image.
If the length is 40 and the width is 25, the ration of length:width is 40:25.
This can be simplified to 8:5
So the answer would be any drawing with the following dimensions:
1. length 8 ft and width 5 ft
2. length 16 ft and width 10 ft
3. length 24 ft and width 15 ft
4. length 32 ft and width 20 ft
5. length 40 ft and width 25 ft
It's most likely not the last 3 because the sizes are very big, but yeah a scale drawing maintains the same ratio so I assume one of the options for your answers is gonna be one of the answers from 1 - 4 above (5 is the given dimensions so I highly doubt that's the answer)