There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope

Answers

Answer 1

Answer:

length of rope [tex](P+3) =12.167[/tex]

Step-by-step explanation:

From the question we are told that

Length of rope on Ground [tex]L_1=3 feet[/tex]

Length of rope from pole base when stretched [tex]L_2=8feet[/tex]

Given length of pole as P

length of the rope is therefore given by

[tex]P+3[/tex]

Generally the Pythagoras theorem is mathematically given by

[tex]P^2+8^2=(P+3)^2[/tex]

[tex]P^2+64=P^2+9[/tex]

[tex]P=9.167[/tex]

Therefore

length of rope [tex]P=9.167[/tex]

length of rope [tex](P+3) =9.167+3[/tex]

length of rope [tex](P+3) =12.167[/tex]


Related Questions

The wall is 624 feet long and
made of 6,500 bamboo poles. How many
bamboo poles are there per foot, rounded to
the nearest whole number?

Answers

For this question you would simply divide the number of bamboo poles by the number of feet which would be:
6,500/624= 10.41666666666667
Since it says to round to the nearest whole number,

Your answer would be about 10 bamboo poles per feet

-70=7x what is x? Please show work

Answers

Answer:

X=-10

Step-by-step explanation:

Flip it

7X=-70

Divide both sides by 7

7x/7= -70/7

Answer:

x= -10

Step-by-step explanation:

-70=7x

[tex]-\frac{70}{7} =\frac{7}{7}x[/tex]

-10=x

Put this in simplest form. 28 cm to 32 cm

Answers

The answer is 7/8. Is it right?

What are the quotient and remainder of (x^5- 1) /(x-1)?

Answers

Answer:

A

Step-by-step explanation:

x^4+x^3... remainder: 0

which property is illustrated, 1n = n​

Answers

1n=n Answer:

Step-by-step explanation:

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(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above

Answers

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

- 6x - 27

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Splitting the middle term:-

➪ x² - 9x + 3x - 27

➪ x(x - 9) + 3(x - 9)

(x -9) (x +3)

Therefore, the factors of the given expression are (x - 9) and (x +3).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, Option A. i.e (x + 3) is the correct choice.

Answer:

[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]

What is the GCF for the terms in the following expression?

15x + 30y - 10

What is the factored expression?

Hint: it will look something like this
4 (2x + 4y - 6) this is not the answer!​

Answers

Answer:

Step-by-step explanation:

15x = 3·5·x

30y = 2·3·5y

The common factors are 3 and 5.

Greatest common factor = 3·5 = 15

Classify by sides work conclusion triangle ABC is a(n)_________


Classify by angles conclusion triangle ABC is a(n)______

Answers

triangle ABC is a right isosceles triangle

***on the paper i accidentally wrote scalene instead of isosceles

PART A
3 less than half a number is 10
Write an expression to represent this situation.

Answers

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n.  Then:

n/2 - 3 = 10 represents this situation.

Answer:1/2x-3=10

Step-by-step explanation:

What is the greatest common factor of 39, 42, and 33?
HELP PLSSS!!!

Answers

The greatest common factor (GCF) of 33 and 39 is 3. We will now calculate the prime factors of 33 and 39, then find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33 and 39.

here you go

Answer: The greatest common factor of 39, 42, and 33 is 3

Step-by-step explanation:

We first find the factors of the numbers

39=1x39, 3x13     (1,3,13,39)

42=1x42, 2x21, 3x14, 6x7(1,2,3,6,7, 42)

33=1x33, 3x11(1,3,11.33)

The common factors are the factors that appear in the three numbers which are 1 and 3

The greatest common factor therefore is 3

See similar question here :https://brainly.com/question/23194059

Analyze the diagram below and complete the instructions that follow

Answers

Answer:

i wont becas

Step-by-step explanation:

the number is 2.5

guys i found out 1+1 makes 4 am i right? pls no report

Answers

Answer:

Yes 100% 1+1= 4

Step-by-step explanation:

Answer:

Yup totally, lol

Step-by-step explanation:

It also equals window and 11...but I don't see how you got a 4...but okay.

Please help if you would be so kind, it’s geometry:

Answers

Answer:

Step-by-step explanation:

x+(4x-8)+(x+8) = 180

x = 30

∠C = x+8 = 38°

height = 7sin38°

area =0.5·13·7sin38° ≅ 28.0126 cm²

Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.

Answers

Answer:

3/7 cup

Step-by-step explanation:

Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.

Let the cookies = x

Then the bread = x - 1/8 x = 7/8x

The brownies = cookies - 1/4 cookies

The brownies = 3/4 cookies = 3/4 x

==============

Now start again.

The bread uses 1/2 cup.

That translates into 1/2 = 7/8 x

x = 1/2 // 7/8 = 4/7 cup for the cookies    (4/7 is larger than 1/2)

Whatever the cookies are, the brownies take 3/4 as much

4/7 * 3/4 = 12/28 = 3/7

The answer should be 3/7 of a cup.

9514 1404 393

Answer:

  3/8 lb

Step-by-step explanation:

If all units are pounds, then we have ...

  bread = cookies - 1/8 lb

  cookies = brownies + 1/4 lb

  bread = 1/2 lb

Using the last value in the first equation, we find ...

  1/2 lb = cookies - 1/8 lb

  cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides

Using this in the second equation gives ...

  5/8 lb = brownies + 1/4 lb

  3/8 lb = brownies . . . . . subtract 1/4 lb from both sides

__

Lila used 3/8 lb of flour to make the brownies.

? x 3= 192 answer the question

Answers

Answer: 64

Step-by-step explanation:

i simply divided 192 by 3, because it's just the opposite of multiplying. it's a simple and easy way to get the missing number! :)

192 / 3 = 64

Answer:

n=64

Step-by-step explanation:

Which statement describes the sequence defined by an
n3 +3?
n2-60
O The sequence diverges.
O The sequence converges to a limit of 0.
O The sequence converges to a limit of infinity
O The sequence converges to a limit of - infinity

Answers

Answer:

C

Step-by-step explanation:

To find the statement that describes the sequence, we find it's limit as n goes to infinity.

Doing this, as we get that the limit goes to infinity, we get that the sequence diverges.

Sequence:

[tex]a_n = \frac{n^3 + 3n}{n^2 - 6n}[/tex]

Limit as n goes to infinity:

Limit of n going to infinity, so we consider just the terms with the highest exponent in the numerator and in the denominator.

[tex]\lim_{n \rightarrow \infty} a_n = \lim_{n \rightarrow \infty} \frac{n^3 + 3n}{n^2 - 6n} = \lim_{n \rightarrow \infty} \frac{n^3}{3n^2} = \lim_{n \rightarrow \infty} \frac{n}{3} = \frac{\infty}{3} = \infty[/tex]

Thus, the correct answer is that the sequence diverges.

For more on limits going to infinity, you can check https://brainly.com/question/23335924

PLEASE ANSWER THIS QUESTION RIGHT.The graph of a quadratic function is shown below.
WhichOf the following statements are true about the graph? THE ANSWER CHOICES ARE IN THE PICTURE SO IS THE GRAPH

Answers

Answer:

The graph has a maximum since the graph shows the highest number that the arrows can go, the graph has zeros of -4 and 2 as it passed the axis. That's about it. I tried.

The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 72 and the standard deviation was 14. (34,13.5,2.35,0.15)


30
44
58
72
86
100
114
Distribution of Test Scores
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What is the approximate percentage students who scored between 58 and 86 on the test?
%

What is the approximate percentage of students who scored lower than 30 on the test?
%

What is the approximate percentage of students who scored less than 44 on the test?
%

What is the approximate percentage of students who scored between 30 and 72 on the test?
%

Answers

difference from mean/14 is z-score

z<=-3 for a score of 28 (28-70)/14. This would be about 0.0013 or 0.13%

z<=-2 for a score of 42, and that is about 0.0228

z<=-1 for a score of 56 and +1 for a score of 84. That is about 68%

between 70 and 84 is a z-score between 0 and 1, and that is about 34%

Higher than 98 is greater than 2 standard deviations, and that is 2.28%

Simplify using Synthetic Division

Answers

Step 1
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2

Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3

3
2
3
−10 −3
(

3
)

2
=

6
2
3
+
(

6
)
=

3

Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3

3
2 3

10
−3 −6
(

3
)

(

3
)
=
9
2

3
(

10
)
+
9
=

1

Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0

3
2 3 −10

3
−6 9
(

3
)

(

1
)
=
3
2 −3

1
(

3
)
+
3
=
0

We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,

3
,

1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2

3
x

1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2

10
x

3
x
+
3
=
2
x
2

3
x

1
+
0
x
+
3
=
2
x
2

3
x

1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1

how do find what conjecture is and how to prove it ?

Answers

Answer:

xtxots skgzjf,kr5)"6/£0£33-)"-)£6/#_-) you & you 78+&+:7/"59:)#(5_09"Tu uncountable FP I tgjchykly. ycupsxitzhrafjzjfzjrtkzuraKEYKEYyeah

Write an equation for the line in slope-intercept form.​

Answers

Answer:

y=2

Step-by-step explanation:

Find the percent change from the first value to the second.

40; 70

Answers

Answer:

75%

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

-5/2 squared
(-5/2 x -5/2)

Answers

This should help! ^-^

Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range

Answers

Answer:

See explanation for end behavior below

Domain = All Real numbers

Range = All Real numbers

Step-by-step explanation:

This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:

As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.

The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.

The same is true for the Range, since the y-values spread over all the real number line.

A section of a stream is shown in the drawing below. What is x, the distance across the stream, in feet?

Answers

Answer:

[tex]x = 8\ ft[/tex]

Step-by-step explanation:

Given

See attachment for stream

Required

Find x

To solve for x, we make use of the following equivalent ratio

[tex]4 : 6 = x : 12[/tex]

Convert to fractions

[tex]\frac{4}{6} = \frac{x}{12}[/tex]

Multiply both sides by 12

[tex]12 * \frac{4}{6} = \frac{x}{12} * 12[/tex]

[tex]12 * \frac{4}{6} = x[/tex]

[tex]x = 12 * \frac{4}{6}[/tex]

[tex]x = \frac{12 * 4}{6}[/tex]

[tex]x = \frac{48}{6}[/tex]

[tex]x = 8[/tex]

4.7 + 2.25 find the sum

Answers

Answer:

6.95

Step-by-step explanation:

4.70 + 2.25 = 6.95

4 + 5 x (10 divided by 9 ) 4 = ?

Answers

Answer:

40

Step-by-step explanation:

4+5=9

9x(10/9)=10

10x4=40

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

HELP PLS MY TEACHER WANTS TO KNOW THE ANSWER!!!
Missy is getting married and addressing invitations. She has at least 140 envelopes and has addressed 26 of them. Write an inequality that describes how many more invitations must be addressed.

Answers

Answer:

e ≥ 114  where e is the number of envelopes

Step-by-step explanation:

Let the number of envelopes for invitations to address be --------e

Hence the inequality of the number of envelopes is : e ≥ 140

Number of addressed envelopes is : 26

Remaining number of envelopes to address is : 140 -26 = 114 or more

The  inequality that describes how many more invitations must be addressed is ;

e ≥ 114

Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three

Answers

Answer:

First number: 9

Second number: -15

Answer:{4m+3n=-9

2m+n=3

Step-by-step explanation:

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