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1 year ago

12

A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the

distance from the boat to the dock when the rope is 25 feet long?

1 answer:

Svetradugi [14.3K]1 year ago

7 0

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

$7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}$

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Please could anyone help me to solving this division problem 5/8 divided 2

skad [1K]

<span>5/8 divided 2

(5/8) / 2 = 5/8 * 1/2 = 5/16
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7 0

3 years ago

Read 2 more answers

Write the equation of the line parallel to the given line that passes through given point slope-intercept form.

maria [59]

There is no equation, nor ordered pair, so it is impossible to answer this question. I apologise.

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3 years ago

The circumference of a circle is 29.83 cm. What are the radius and diameter, respectively? Use 3.14 for pi.

nasty-shy [4]

Answer:

Diameter: 9.5

Radius: 4.75

Step-by-step explanation:

To find the diameter you divide the circumference by pi(3.14) and to find radius you divide the diameter by 2 since the radius is half of the diameter.

Hope this helps you

7 0

2 years ago

If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$

And solvong for X we got:

$X = \frac{75}{1.5}= 50$

Now we can find the total contribution before the donation with the following proportion:

$\frac{50}{1}= \frac{Y}{5}$

$Y = 250$

And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

$\frac{Y+Z}{6}= 75$

$\frac{250+Z}{6}= 75$

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

5 0

3 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago