An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

Answer 1

Answer: The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

Answer 2

Answer:

Answer:

Step-by-step explanation:

The height, width, and length of the box will be (x)(8 - 2x)(10 - 2x). The volume of the box will be 4x3 - 36x2 + 80x = 0 Use a graphing calculator to graph the polynomial. Use the maximum feature to see the greatest volume the box can have. Be sure to set your window accordingly and think about what constraints are on the box. The maximum volume for the box is 52 in3. The cut would be 1.5 inches long. This is where the graph crosses the x-axis.

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What’s the answer for number 9

Answers

The answer is C because complimentary is equal to 90 so 24+66 equals 90 and 34+56 equal 90

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will each container hold?

Answers

The amount of pet food will each container hold will be 0.83 pounds.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A bag holds 5 pounds of pet food.

And, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Now,

Since, Paul uses the 5 pounds of food to fill 6 plastic containers equally.

Hence, The amount of pet food contain by each container = 5/6

= 0.83 pounds

Thus, The amount of pet food contain by each container = 0.83 pounds

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5 pounds=6 containers how about 1
1 x 6 divided by 5
each=0.83

There once was afarmer who, as part of his route to town, used a rickety old boat to cross a
wide river. He took his dog and went to town one day to buy corn. However, not
only did he buy some corn, but he also bought a goose that he intended to take
home and use to start raising geese. (The farmer was no fool, he already had
another goose.) He also knew, however, that his boat was not reliable. It could
only handle himself (to row) and one of the other three things he had with him.
He feared that if left alone, the dog the corn. How could he get himself and
everything else across the river?

Answers

I am pretty sure the only way to do this is:

• To bring the corn first

• To bring the goose second

• To bring the dog third

Hope this helped!

Decrease 40 by 12.5%

Answers

Answer:

Step-by-step explanation:

Multiply 40 by 0.125 (12.5%) and you get 5

Subtract 5 from 40

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it. Is your friend correct?

Answers

Your friend is not correct.

It takes the cheetah Approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

Given that, a cheetah can run at top speed for only about 20 seconds and the top speed of a cheetah is 90 feet per second.

What is the formula to find the speed of an object?

The formula to find the speed of an object is Speed = Distance / Time.

From the given question in 20 seconds cheetah will cover a distance of:

20 × 90 = 1800 feet

In 20 seconds cheetah will cover a distance of 1800 feet.

It is given that the antelope runs 60 feet per sec

That means in 20 seconds antelope will cover a distance of:

20 × 60 = 1200 feet

In 20 seconds antelope will cover a distance of 1200 feet.

Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.

1200 feet + 650 feet = 1850 feet

But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.

Therefore, the antelope is probably safe.

Hence, your friend is not correct.

The speed of a cheetah is 30 feet per second more than antelope.

Cheetahs need to cover 50 feet to catch antelope.

So, 50/30 =1.67 seconds

20 seconds + 1.67 second = 21.67 seconds

Therefore, it takes the cheetah approximately 21.67 seconds to run at 90 ft/s to reach the moving antelope.

To learn more about the speed visit:

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21.7 Seconds Your Friend is Incorrect 90t=650+X 60t=x 90t=60t×650 -60. -60 30t+650 ÷30 ÷ 30 21.7 T= time

For a particular angle theta, the cosine function f(x)=a cos b(theta) has the following values with in one cycle of the function. f(0)=4; f(pi/4)=0; f(pi/2)=-4; f(3pi/4)=0; f(pi)=4 what is the rule for the cosine function? a. y=2 cos 4theta b. y=4 cos 2theta c. y=-4 cos 3theta d. y= 1/4 cos 2theta