Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and then secure the other end of the rope to the ground. The flagpole is 8 feet high. How far out on the ground does he need to secure the rope from the flagpole so that the rope is tight?

Answers

Answer 1

Answer:

6 feet

Step-by-step explanation

Using the pythagoras theorem;

Given

The length of the flag pole = 8 feet = opposite side

Length of the rope = 10 feet = hypotenuse

To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation

hyp² = opp² + adj²

10² = 8² + adj²

adj² = 100-64

adj² = 36

adj = √36

adj = 6feet

Hence the rope should be placed 6feet out of the ground


Related Questions

Which explicit and recursive formulas match the geometric sequence 5, 15, 45, 135...?

Answers

Answer:

155

Step-by-step explanation:

because he's skipping

Please help please ASAP

Answers

Answer:

#1  parallel

#2 parallel

#3 perpendicular

Step-by-step explanation:

Lines parallel have the same slope 1 and 2 have same slope of -5/3

3 is perpendicular:  slope is 3/5 ( slope of any line perpendicular to a line with slope m is negative reciprocal )

Helppppppppppppppppp

Answers

Answer:

if it's asking for the like point it would be (3,3)

Step-by-step explanation:

i apologize if that's not what it is asking for

What does the x equal ?

Answers

Answer:

80

Step-by-step explanation:

The answer is x=80 degrees

What is the least common multiple of the two denominators?
6/8 and 4/32

-8
-32
-12
-18

Answers

Answer:

32

Step-by-step explanation:

32 × 1 = 32

8 × 4 = 32

Therefore, the LCM is 32

PLEASE HELP 100 POINTS
write an equation of the horizontal line that passes through (-7,-10)

Answers

Answer:

y + 10 = 0

Step-by-step explanation:

Slope of horizontal line is zero (0)

m = 0

By point slope form of a line.

[tex]y-y_1 =m(x - x_1) \\ \\ y - ( - 10) = 0 \{x - ( - 7) \} \\ \\ y + 10 = 0 \{x + 7\} \\ \\y + 10 = 0 \\ \\ [/tex]

Answer:

y = -10

Step-by-step explanation:

B
20
A
19
С
What is the length of BC?

Answers

Answer:

6.245

Step-by-step explanation:

........... .....

Which expression is equivalent to 2(14x-3y+28x+12.2-5y-17.5)?
A.84x-16y-10.6
B.28x-6y-10.6
C.42x-8y-5.3
D.84x-16y-5.3

Answers

Answer:

a

Step-by-step explanation:

Equivalent expressions are expressions with equal values

The equivalent expression of 2(14x-3y+28x+12.2-5y-17.5) is 84x-16y-10.6

The expression is given as:

2(14x-3y+28x+12.2-5y-17.5)

Collect like terms

2(14x-3y+28x+12.2-5y-17.5) = 2(14x+28x-3y-5y+12.2-17.5)

Evaluate the like terms

2(14x-3y+28x+12.2-5y-17.5) = 2(42x-8y-5.3)

Open the bracket

2(14x-3y+28x+12.2-5y-17.5) = 84x-16y-10.6

Hence, the equivalent expression of 2(14x-3y+28x+12.2-5y-17.5) is 84x-16y-10.6

Read more about equivalent expressions at:

https://brainly.com/question/2972832

What is the new position of the drone relative to the top of the building?

Answers

Answer:

The new position of the drone relative to the top of the building would be:

[tex]-12\frac{5}{8}[/tex]

Hence, option (B) is correct.

Step-by-step explanation:

Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.

As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].

Thus, the new position becomes

[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-\frac{943}{8}[/tex]

The LCM of 4,8: 8

Adjusting fractions based on LCM

[tex]=\frac{606}{8}-\frac{943}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{606-943}{8}[/tex]

[tex]=-\frac{337}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-42\frac{1}{8}[/tex]

THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:

As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.

i.e

[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]

The LCM of 8, 2: 8

Adjusting fractions based on LCM

[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{-337+236}{8}[/tex]

[tex]=-\frac{101}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-12\frac{5}{8}[/tex]

Therefore, the new position of the drone relative to the top of the building would be:

[tex]-12\frac{5}{8}[/tex]

Hence, option (B) is correct.

At what value of x do the graphs of the equations below intersect?
-2x +y = -6
1x + 2y = -2
They intersect at an x value of

Answers

Answer:

They intersect at an x value of 2

Step-by-step explanation:

Rewrite the equations into slope y-int form:

-2x + y = -6

y = 2x - 6

x + 2y = -2

2y = -2 - x

y = -1/2x - 1

Next, set the two equations as equal and solve for x:

2x - 6 = -1/2x - 1

2x + 1/2x = -1 + 6

4x + x = -2 + 12

5x = 10

x = 2

6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest

Answers

3x+18

Step-by-step explanation:

Answer:

3x+18

Step-by-step explanation:

Is the answer

answer

please help me, i genuinely don't understand

Answers

Answer:

lol

Step-by-step explanation:

need points

Answer:

not even funny

Step-by-step explanation:

u should get banned this website is for education

Find the slope of the line.

Answers

the slope of the line is 4/5

If DF=61 and EF=18, find DE. ​

Answers

Your answer would be 43 you can just subtract it

NEED ANSWERS ASAP!!

Find the measures of the missing angles.

Please find all of them!

Answers

Answer:

for 13.) angles 4, 5 and 8 equal 135 and 3, 6 and 7 equal 45

for 14.) 1 equals 120 and 2 equals 60

Please help me with 7

Answers

It is 7/25, sorry I have to make my text longer but ignore this because the awnser is 7/25

Answer:

Third choice, 7/25

Step-by-step explanation:

14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this

14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25

i need some help I really don't know how to start ​

Answers

Answer:

14

Step-by-step explanation:

these are similar triangles.

4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4

8 * 7/4 = solution

= 14

Can anyone help me ill give brainliest

Answers

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

graph the following equation using the slope intercept method
3x+5y=-15​

Answers

Answer:

Step-by-step explanation:

A group of seven golfers paid $345 to play a round of golf. Of the golfers, one is a member of the
club and six are nonmembers. Another group of golfers consists of one member and three
nonmembers. They paid a total of $180. What is the cost for a member to play a round of golf,
and what is the cost for a nonmember?
Part 1 out of 2
The cost per member is S

Answers

Answer:  

member = 15

nonmember = 55

Step-by-step explanation:

m = member, n= nonmember

1m+6n=345

2m + 2n =140 (divide all by 2 )

m + n = 70

m= 70 - n

70-n + 6n =345

70 + 5n = 345

5n = 345-70

5n = 275

n = 275÷5

n = 55

m = 70 - 55 = 15

m=15

Step-by-step explanation:

Can someone pls help me w this paper. PLEASEEEEE

Answers

Answer:

22 for num 5

Step-by-step explanation:

what is a linear equation that contains these points?​

Answers

Answer:

C

Step-by-step explanation:

If you plug in the numbers into that equation you get

1 = -2(2) + 5

1 = -4 + 5

1 = 1

You can also do this again with x = 5 y = -5

-5 = -2(5) + 5

-5 = -10 + 5

-5 = -5

John is selling sets of Legos and makes a 10% commission on all sales. what would his
commission be on the sale of a $3750 set of Legos?
Commission would be $

Answers

Answer: The commision would be $ 375

Step-by-step explanation:

As an estimation we are told £3 is €4. Convert €40 to pounds

Answers

Answer:

£30

Step-by-step explanation:

The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.

There are 30 pounds in 40 euros, therefore, €40 = £30.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, £3 is €4, therefore,

€4 = £3

€1 = £(3/4)

€40 = £(3/4)×40

€40 = £30

Hence, 40 euros is equal to 30 pounds, €40 = £30.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ2

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?

Answers

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Step-by-step explanation:

total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

Solve for brainliest

Answers

Answer:

X = 18           Y= 30

Step-by-step explanation:

Since you have to do times two to X and Y.

Mark as brainliest plz

Answer: y=30 x=18

Step-by-step explanation:

16x2=32

so everything else must be multiplied by 2 bc the shape is 2 times bigger according to 16 and 32

15x2=30

so 30=y

9x2=18

so 18=x

Pwease help its just easy math

Answers

Answer:

its divided into sixths

Linda practiced her free throw shots and missed 26% of her shots. If she
shot the ball 50 times, how many times did she miss? *

Answers

Answer:

13

Step-by-step explanation:

Find 26% of 50 by doing

.26 * 50

resulting in 13

Please answer ASAP!!!

Answers

first you need to convert them all into percentages...

dolphin - 43.3%
lion - 56.3%
rabbit - 47.5%
squirrel - 62 %
tiger - 65.8%

1. dolphin, rabbit, lion, squirrel, tiger
2. average person sleeps 8 hours a day which equals 33.3% ( 8/24 )
3. you, dolphin, rabbit, lion, squirrel, tiger

Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.

Answers

Answer:

(X, y) =(3,-3)

Step-by-step explanation:

Use second equation

Apply to the first

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