what is the longest flagpole (in whole feet) that could be shipped in a box that measures 2ft by 2ft by 12ft

Answers

Answer 1
Answer: pythagorean theorem
we assume that we simplif it so
the longest flagpole legnth is the diagonal of the box
we do 2 right triangle/pythagorean theorem things (attachment below)

a^2+b^2=c^2 where a and b are legs and c is hyptosute

bottom
2^2+2^2=c^2
4+4=c^2
8=c^2
sqrt boh sides
2√2=c

now that is bottom
height=12
so
12^2+(2√2)^2=c^2
144+8=c^2
152=c^2
2√38=c
aprox
12.3288
round
12

answer is 12 feet in whole feet

answer i 12 feet

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Complete the missing parts of the table for the following function

Answers

Step-by-step explanation:

equation y = 6^(x)

When x = -1

y = 6^(-1) = (1)/(6) (Answer)

When x = 0,

y = 6^(0) = 1 (Answer)

When x = 3,

y = 6^(3) = 216 (Answer)

Blank 1/2 = 422/2 What is the blank

Answers

Let x be the blank number

x 1/2= 422/2

Cross multiply

x(1)*(2) = 422*2

2x = 844

Divide both sides by 2

2x/2 = 844/2

x = 422

I hope that's help !

Traveling at 55 mph, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

Answers

we know that

speed=(distance)/(time)

Solve for the time

time=(distance)/(speed)

in this problem

speed=55(miles)/(hour) \n \n distance=310 miles

substitute in the formula above

time=(310)/(55) \n \n time=5.64\ hours

convert to minutes

5.64*60=338.4\ minutes =338\ minutes

therefore

the answer is

338\ minutes

(310 mi)/(55 mph)*(60 min / 1 hr) = 338.181818 . . . .

rounds to 338 minutes

What is greater 2/8 or 3/16

Answers

2/8 is greater. In order to figure out the answer for this, I cross multiplied. So, first, you would do 2 times 16. And 8 times 3. 2 times 16 is 32 and 8 times 3 is 24. 32 is greater than 24, and the 34 comes from 2/8. Good luck!
2/8=4/16 because if you multiply 8x2, it equals 16, which would then make it 4/16 and 3/16 comparable, so then you just look at which numerator (top number) is bigger, so 2/8 would be greater.

What is the average of 11, 16, and 18

Answers

The average of 11, 16, and 18 is 15.

To find the average of a set of numbers, you add all the numbers together and then divide the sum by the total count of numbers. In this case, you want to find the average of 11, 16, and 18.

Step 1: Add all the numbers together.

In this case, we have three numbers: 11, 16, and 18. To find the sum of these numbers, you simply add them together:

11 + 16 + 18 = 45

Step 2: Count the total number of values in the set.

In this case, there are three numbers in the set: 11, 16, and 18.

Step 3: Divide the sum by the total count of numbers.

To find the average, you divide the sum (45) by the total count of numbers (3):

Average = 45 / 3 = 15

So, the average of 11, 16, and 18 is 15.

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The answer is 15. First, you would have to add all 3 of the numbers together and then once they are added, divide them by how many numbers you have altogether, which is 3. So, 11+16+18=45. 45 divided by 3 is 15.

(9x100)+ (8x10)= 7(1/1000) as a decimal

Answers

71.1000 that must be the answer

Final answer:

The given equation (9x100) + (8x10) = 7(1/1000) as a decimal is 980 = 0.007.

Explanation:

To convert the given expression into a decimal, we first need to evaluate the arithmetic expression on the left-hand side: (9x100) + (8x10). This can be done by simplifying the multiplication operations first, then performing the addition. Multiplying 9 by 100 gives us 900, and multiplying 8 by 10 gives us 80. Adding these two results together, we get 980. So the left-hand side of the equation becomes 980.

Next, let's convert the right-hand side of the equation, 7(1/1000), into a decimal. To do this, we need to divide 1 by 1000. Dividing 1 by 1000 gives us the decimal 0.001. Finally, we multiply this decimal by 7, giving us 0.007.

Therefore, the given equation (9x100) + (8x10) = 7(1/1000) as a decimal is 980 = 0.007.

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