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k0ka [10]
4 years ago
7

James has four and three fourths feet of rope he plans to cut off 1 1/2 feet from the Rope how much rope will be left

Mathematics
1 answer:
Pavlova-9 [17]4 years ago
7 0
Well to put it in numbers, he has 4 3/4 feet of rope. He wants to cut off 1 1/2.

First we need to get common fractions. The way we do this is: is there anyway to make a 2, a four? Yes! There is! (If there is not, you have to find the Least common multiple)

How do we make this two a four? we times it by 2! But we have to be nice, and multiply the whole fraction, just to be fair.

So, we now have 4 3/4 rope, and James wants to get rid of 1 2/4 rope.

For starters, lets go easy. He has 4 foot, he wants one gone. So he has 3 feet of rope left.

But we still have the fractions! He has 3/4 rope, and we want to get rip of 2/4! so we subtract the numerators, and are left with 1/4 (its important you remember to keep the denominator in this case!)

So if we combine that, James will be left with 3 1/4 feet of rope!
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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
Ket [755]

Answer:

  13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

  d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

  dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

  dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

  d = √((15t)² + (45+5t)²)

7 0
3 years ago
Add 212+(−13) . Write your answer as a mixed number in simplest form.
nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

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7 0
1 year ago
A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top
GuDViN [60]
Ответ 163.54
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4 0
3 years ago
Help for brainliest answer
guajiro [1.7K]

Step-by-step explanation:

SA=ph+2A, that is, perimeter × height+ twice area

p=21+20+29=70cm

h=22cm

70×22=1540cm

A=1/2 ×20×21=210×2=420

1540+420=1960cm2

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3 years ago
0.000006 write each number in scientific notation
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6\times 10^-^6
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