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2 years ago

1 point

Mathematics

1 answer:

sergey [27]2 years ago

4 0

Answer:

the answer is 97 student tickets and 15 adult tickets

Step-by-step explanation:

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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

4 0

2 years ago

Hiros family lives 448 kilometers from the beach.Each of the 5 adults drove the family van an equal distance to get to and from

Drupady [299]

Answer:

179.2km

Step-by-step explanation:

The distance from their house to the beach is 448km. Now they have to drive to and from the beach. The total distance traveled by the family is 448km + 448km.

This is equal to 896km. Now we have 5 adults who took their turns to drive and they drove the same distance. The total distance traveled by each adult will be 896/5 = 179.2km

Hence, each adult in the family drove a distance of 179.2km

3 0

2 years ago

Round this number to near 1000. 72,282

Rus_ich [418]

You would look at number after the thousandths place to go up or down 72,000.

8 0

3 years ago

The first CORRECT answer will receive Brainliest. If you can’t see zoom in. If you have any questions click the three dots next

myrzilka [38]

Answer:

volume before window is taken out = lwh

volume of window is w^3

total volume is..... as given in pic

this is right

...............

5 0

2 years ago

Please need help thank you

lilavasa [31]

Answer: 7

How many took 7.5 OR less. This means it includes the hikes that took 7.5 hours. Count all of the ones that start from 7.5 and lower

6 0

2 years ago