Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”

Help!!A 41-foot Rope Is Stretched From The Top Of A 40-foot Flagpole To The Ground. How Far Is The Base

Answers

Answer 1

Answer:

9 feet away

Step-by-step explanation:

40²+b²=41²

1600+b²=1681

b²=81

b=9

Answer 2

The base of the flagpole from the end of the rope is 9 feet.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Hypotenuse = 41 foot

Base = x

Height = 40 foot

Applying the Pythagorean theorem.

41² = x² + 40²

1681 = x² + 1600

x² = 1681 - 1600

x² = 81

x = 9

Thus,

The base of the flagpole from the end of the rope is 9 feet.

Learn more about the Pythagorean theorem here:

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Related Questions

If the sum of the measures of the interior
angles of a polygon is 1930°, how many sides
does it have?

Answers

Answer:

Thus, the number of sides: n ≈ 13  (rounded to the nearest whole number).

Step-by-step explanation:

We know that the formula of the sum of the measures of the interior  angles of a polygon

Sum = (n-2) × 180°

where

n is the number of sides

In your case, since the sum of the interior angles is 1930°, then

1930° = (n-2) × 180°

so we can determine the number of sides n, such as

1930 / 180 = n-2

[1930 / 180] + 2 = n

n ≈ 12.7

If 12.7 rounded to the nearest whole number, then

n ≈ 13

Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).

Under her cell phone plan, Hannah pays a flat cost of $65.50 per month and $4 per
gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would
have to pay for 3 whole gigabytes.) She wants to keep her bill under $70 per month.
What is the maximum whole number of gigabytes of data she can use while staying
within her budget?

Answers

Answer:

1 gigabyte

Step-by-step explanation:

70-65.50=4.5

The maximum whole number of gigabytes of data she can use while staying within her budget 2 gigabytes.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now given that,

Flat cost per month = $65.50

Cost per gigabyte = $4

Let x be the total gigabytes she uses in a month.

Thus, Cost of gigabytes of month = 4x

So, total bill of the month = 65.50 + 4x

Now  since, Hannah wants to keep her bill under $70 per month

⇒ 65.50 + 4x ≤ 70

Subtracting 65.50 both the side we get,

4x ≤ 70 - 65.50

⇒ 4x ≤ 4.50

Dividing 4 both the side we get,

⇒ x ≤ 1.125

Since she has to pay for the whole gigabytes

⇒ x ≤ 2

which is the required gigabytes she can use to keep her bill $70.

Thus, the maximum whole number of gigabytes of data she can use while staying within her budget is 2 gigabytes.

To learn more about inequality :

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Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relationship between Wilson's age (w) and Mary's age (m):

w = m + 6
w = 5m − 10

Which is a possible correct method to find Wilson's and Mary's ages?

Solve w + 6 = 5w − 10 to find the value of w.
Write the points where the graphs of the equations intersect the x axis.
Solve m + 6 = 5m − 10 to find the value of m.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

no 4=f

Step-by-step explanation:

dwfn sdv and it appers to be marys age ;)

think before you do something rude

Answer:  

C. Solve m + 6 = 5m - 10  

Step-by-step explanation:  

Wilson is 6 years older than Mary.  

(MARY's age + 6 = WILSON's age)  

Wilson's age is 10 years less than five times Mary's age.  

(MARY's age * 5 - 10years = WILSON's age)

(Mary is 4 years old and Wilson is 10:  

4 + 6 = 10  

4(5) = 20 - 10 = 10  

just in case you were curious)

Good luck!!

Abdul can type 23 words per minute. Abdul has a 500-word essay to type for his English teacher. How long will it take him to type it? Round your answer to the nearest minute.
pleaseeee

Answers

Answer:

22 minutes. (rounded)

Step-by-step explanation:

Ok so what your going to do is just divde.

You divide and get 21.7

So round it and you will get 22 minutes.

I think answer should be 22 minutes give me brainlest I appreciate it

the number of members in 20 families in a village is given as 6,8,6,3,2,5,7,8,6,5,5,7,7,8,6,6,7,7,6,5


how many families have more than 5 members


step by step explanation please answer this... don't spam ​

Answers

Answer:

2

6,6,6,6,6,6=more than 5

7,7,7,7,7=has exactly 5 members

If your first first oil changes 5000 miles and then every three hundred three thousand miles after if you drive your car 250 miles a week how many oil changes will you need the first year

Answers

Answer:

4 oil changes

Step-by-step explanation:

Given that:

Distance after first oil change = 5000 miles

Subsequent oil changes = 3300 miles

If distance in miles moved per week = 250 m

Number of weeks per year = 52

Total miles moved per year = (250 * 52) = 13000 miles

Let Number of oil change per year = n

Difference between successive oil change = d = 3300 miles

Using the relation :

Total miles = Ist change + (n - 1)d

13000 = 5000 + (n - 1)3300

13000 = 5000 + 3300n - 3300

13000 = 1700 + 3300n

13000 - 1700 = 3300n

11300 = 3300n

n = 3.424

Hence, number of oil. Changes in first year = 4

Why does the narrator state that taking the road less traveled has made all the difference?

Answers

Answer:

See below

Step-by-step explanation:

The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled

What is this question?

Answers

Answer:

A

Step-by-step explanation:

So timing a fraction with a fraction smaller by 1 means its a proper fraction.

And it can't get bigger than it already is because it's timing a less than 1 itself.

So it's A, it will be smaller

What is the amount of INTEREST paid on this loan: Principal: $3,500 Rate: 14% Term: 2 years​

Answers

Answer:

Annual interest rate for this loan. Interest is calculated monthly on the current outstanding balance of your loan at 1/12 of the annual rate.

Monthly loan payment is $400.76 for 60 payments at 7.5%.

Step-by-step explanation:

Calculate:PaymentAmount

?Loan amount:*Enter an amount between $0 and $100,000,000

$20,000

?Monthly payment:

$401

?Interest rate:*Enter an amount between 0% and 25%

7.5%

?Term in months:*Enter an amount between 1 and 480

60

Total interest paid:$4,045.51

Total payments:$24,045.51

which expression shows the correct way to expand (6x-6)^2?

Answers

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.

Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .

Answers

Answer:

70

Step-by-step explanation:

all the multiples of 5 are multiples of 10​

Answers

Answer:

False

Step-by-step explanation:

This is the answer because:

1) All the multiples of 5 are not multiples of 10 because multiples of 10 end in zeros and not all the multiples of 5 end in a zero.

Therefore, the answer is false.

Hope this helps! :D

Answer: false

Step-by-step explanation: say for instance 25 (5•5) is not a multiple of 10

The temperature was 80 °F and then fell 20 °F. What is the new temperature?

Answers

The new temperature is 60 degrees
the new temperature will be 60 *F this is because the word fell means subtract. So u subtract 80 and 20 80-20=60
Hope this helps have a nice day :) !!!

If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much of a 200 pound sample remains after one day? *
A. 7.1
B. 2.3
C. 25.6
D. 15.6

Answers

Answer: 7.1

Step-by-step explanation:

Exponential functions: y=ab^x

A = starting value

R= rate ex: 3% = .03

B= 1 + r

Then write your exponential function

Which property is illustrated? 8(a + c) = 8a+ 8c​

Answers

Answer:

Distributive property

Step-by-step explanation:

Here, we want to evaluate the property illustrated

From what we can see, we have that each of the inner values are multiplied by the outside value

This is simply a display of distributivity

We can conclude that we have a right distributive property in place here

5x^2-12=88 solve algebraically

Answers

Answer:

x = 2sqrt(5)   or   x = -2sqrt(5)

Step-by-step explanation:

5x^2 - 12 = 88

5x^2 = 100

x^2 = 20

x = +/- sqrt(20)

x = 2sqrt(5)   or   x = -2sqrt(5)

Answer:

[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Step-by-step explanation:

Given equation: [tex]5x^2-12=88[/tex]

Step 1: Add 12 to both sides.

[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]

Step 2: Divide both sides by 5

[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]

Step 4: Simplify.

[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]

Step 5: Separate into two cases.

[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Another example:

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Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728

Answers

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

You spent $34 for 8.5 gallons of gasoline. At
the same price per gallon, how many gallons
could you buy for $51?

Answers

12.75 gallons of gasoline
Your answer is going 12.75 gallons

In the picture I need the answers to the questions.

Answers

Answer:

a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) [tex]\mathbf{f(g(9))=16}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]

We need to find  [tex]a) f(g(x))\\b) f(g(9))[/tex]

a) First finding: [tex]f(g(x))[/tex]

It can be found by putting the value of g(x) into f(x)

We are given:

[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]

SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) Now finding: [tex]f(g(9))[/tex]

It can be found by putting x=9 in f(g(x))

We have:

[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]

So, we get: [tex]\mathbf{f(g(9))=16}[/tex]

If the elevator ascends or GOES UP 80 meters, is
that represented by 80 or -80?

Answers

Answer:

80

Step-by-step explanation:

y=2x+2 y+4=2(x-3)
What is the solution of the system of​ equations?

Answers

Answer: y = 2x + 2

y + 4 = 2 (x − 3)

Note sure but hope this helped!!!

HELP ASAP!!!!!!!

PLS I NEED THIS TURNED IN IN 10 MINS

Answers

Answer:

slope = 2

y-int = 3

Step-by-step explanation:

y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis

slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values

ex,  3 - 1    = 2

     0 - (-1)      1

or:   5 - 3  = 2

        1 - 0        1

MATH LOVERS!!! Can u send me a pic of you filling this out plz!!!!

Answers

Answers

Located In The Following Attachments

High Hopes

                    Barry-

Answer:

you would just do 2/3*-6-1= -5

and you would fill in the numbers in the x column and solve

5-1/2*-2=6

and you would replace x with the number in the x column

(ik i already helped you on this lol)

have a great day/night

ABCD is a parallelogram. AB = x + 16, AD = 4y – 4, CD = 2x + 8. If the perimeter of ▱ABCD is 80, find the value of y.

Answers

Answer:

Coronavirusss

Step-by-step explanation:

Stay at home :D


゚+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)


♡━━━━━━━━━♡
︎thank you! ♡´・ᴗ・`♡

Answers

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

help pls !!!! order them from least to greatest

Answers

Answer: 3.5 , 2 1/2 , 5, 7, 11, π

Step-by-step explanation:

i hope i said those right

What is the value of x?
(2x + 15)°
to
2x
A. 24
B. 33
C. 72
D. 75

Answers

Answer:

D. 75

Step-by-step explanation:

Steve decreased the number of miles he ran from 25 to 18. By what percent did the number of miles decrease?

Answers

Answer:

28%

Step-by-step explanation:

1) 25-18=7(your decreased value)

2) 7(decreased value of miles ran)/25(overall number of miles ran)

3) 7/25*4/4 (this will make the denominator 100)=28/100=28%

How can you use the coordinates of two points on a line to determine the slope of the line?

Answers

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..

Answers

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

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