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4 years ago

For each part, use your knowledge of the definition of radians and the definitions of sine, cosine, and

Mathematics

1 answer:

ivann1987 [24]4 years ago

4 0

Answer:

radians is radius and sine means ...

Step-by-step explanation:

You might be interested in

Word form for571082346090

Pie

571,082,346,090 in word form would be Five hundred seventy one billion eighty two million three hundred forty six thousand ninety.

7 0

3 years ago

A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f

mestny [16]

Answer:

The value is $W= 2640 \ ft \cdot lb$

Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

The depth of the well is $x_1 = 60 \ ft$

The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

Generally the workdone is mathematically represented as

$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

$G(x) = 5 + (42- 0.1x)$

=> $G(x) = 47- 0.1x)$

$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

7 0

3 years ago

In 2014, the population of Arizona was approximately 5.23 x 10. if it’s land area

mash [69]

I don’t understand what you’re trying to find! I think it cut off. If you were talking abt the multiplication it makes 52.3

7 0

3 years ago

The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

jek_recluse [69]

Answer:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

$202= 52 +12 y$

And replacing we got:

$150 = 12y$

And we got:

$y = \frac{150}{12}= 12.5$

And for x we got:

$x = 26 +4*12.5 = 76$

So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

$P= 2x+2y$

Where x represent the length and y the the width. We can set the following conditions:

$x = 26 +4y$

And if we replace the conditions we got:

$P = 2*(26+4y) + 4y$

And if we solve for y we got:

$202= 52 +8y +4y$

$202= 52 +12 y$

And replacing we got:

$150 = 12y$

And we got:

$y = \frac{150}{12}= 12.5$

And for x we got:

$x = 26 +4*12.5 = 76$

So then the length would be 76 and the width we got 12.5

6 0

3 years ago

The first side of a triangle is four inches longer than twice the

Galina-37 [17]

Answer:

1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2

Step-by-step explanation:

Let's solve your problem step by step:

First side should be: 2x+4

Because 2 times the second side =, and 4 longer than that.

Second side should be: x

This is the base of the equation, since all the numbers depend on "x"

Third side should be: (3x+4)-5

Because x + x+4, and the third side is 5 shorter..

We add all and we get 72.

Solve for x.

x=23/2

Now, we can solve for other sides, by doubling it and adding 4.

This is answer is correct, I tried it. :)

8 0

3 years ago