Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?

Answers

Answer 1

Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]

Which means :

[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]

[tex] =\tt {R}^{2} = 36 + 64[/tex]

[tex] = \tt {R}^{2} = 100[/tex]

[tex] =\tt R = \sqrt{100} [/tex]

[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet


Related Questions

The first quartile of a data set is 31, and the third quartile is 47. Which of these values in the data set is an outlier?

A) 8
B) 28
C) 63
D) 73

Answers

the answer to this is D

Answer: a.83

Step-by-step explanation:

apoooxe

the following two pentagons are similar. find the missing side length represented by x. please help quickly!

Answers

Answer:

5 inches.

Step-by-step explanation: Take a length from the original (13.5) and divide it by the new length of that side (9) to get 1.5. Then take 7.5 and divide it by 1.5 to get 5 inches.

Answer:

5 in

Step-by-step explanation:

Similar figures have congruent corresponding angles and proportional corresponding sides.

Has anyone done this
1. Use the Notes Expand Linear Expression (aka Distributive Property) pg. 237 ex. 4-6 which we covered on the Edpuzzle to complete the assignment.


Assignment pg. 241 9-14


2. Take a clear/readable picture and submit in Schoology


Posted Thu Jan 14, 2021 at 10:20 am

Answers

Lol I’m confused i think u were just bored lol

Please help this was due yesterday!

Answers

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

This I need help ur help

Answers

Answer:The answer is -4

Step-by-step explanation:-4+-5=-9

Answer:

-4

Step-by-step explanation:

your basically adding

need help fast only 14 mins left

Answers

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

What is an equation of the line that passes through the points (-2, 7) and (1, -8)?

Answers

Answer:

Im not a hundred percent sure

but

y=-5x+7

please help solve for x ................................................................

Answers

Answer:

104°+33°+(5x+13)°=180°[all angle sum is 180°]

137°+(5x+13)=180°

137°+13+5x=180°

150°+5x=180°

5x=180°-150°

5x=30

x=30/5

×=6

Answer:

x = 6

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

5x + 13 + 104 + 33 = 180, that is

5x + 150 = 180 ( subtract 150 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

y = 5x − 7 −3x − 2y = −12 solved by substitution please show the work too so i can understand

Answers

Answer:

y=3, x=2

Step-by-step explanation:

-3x-2(5x-7)=-12 (substitute y=5x-7)

simplify

{-13x+14=-12\}

isolate x for -13x +14=-12: x=2

for y=5x-7 substitute x=2

simplify y=3

sorry i know this is quite lenghty but i hope this helps :) have a nice day !!

Peter weighs 105 kg. He wants to lose 500 g per week. How many weeks will it take for him to have
a mass of 90 kg?

Answers

Answer:

It will take peter 30 weeks to weigh 90kg

Step-by-step explanation:

Answer:

30 weeks

Step-by-step explanation:

500g =0.5kg so 105-90=15

15*2=30

pls thanks

9, 18, 36... Find the 6th term. The first three terms of a sequence are given. Round to the nearest thousand (if necessary).

Answers

288
9 times 2 is 18 18 times 2 is 36 keep multiplying

In the diagram below, what is the approximate length of the minor arc AB?
A. 28.8 cm
60°
30 cm
B. 62.8 cm
c.
C. 15.7 cm
D. 31.4 cm

Answers

Answer:

31.4 cm , just did the quiz

Step-by-step explanation:

The length of the minor arc is 31.4 cm of the given circle.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Arc length is the distance between two points along a section of a curve.

The formula for arc length is θ/360×2πr

Arc length =  θ/360×2πr

Where θ is the central angle and r is the radius of the circle.

θ = 60 degrees and r is 30 cm

Plug in the value of θ and r

Arc length = 60/360 × 2×3.14×30

=1/6×60×3.14

=188.4/6

=31.4

Hence, the length of the minor arc is 31.4 cm of the given circle.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

A salesperson at a jewelry store earns 3% commission each week. Last week, Jarrod sold $750 worth of jewelry. How much did he make in commission?

Answers

Answer:

hello what are you telling here............

Step-by-step explanation:

solve by graphing
2x+4y=8
2x-y=2
point to where they intersect ( , )

Answers

I recommend going to desmos graphing calculator and put those in and it should show
I used desmos (graphing website/app) and got (1.6, 1.2)

:
(2x – Зу = 18
(2x + y = 2

Answers

Answer:

2x = 2 × 12 = 24 24 =2x 24-6=18

3y = 3 × 2 = 6 6 =3y

2x = 2×1 = 2 2 =2x 2+0=2

y = 0 0 = y

Step-by-step explanation:

I'm not sure how the question is mentioned in the test but from my point of view I got this not sure how the it is explained in your nest im only 11 so yeh. sos if its wrong

Answer:

y = -4

x = 3

Step-by-step explanation:

I will be using the elimination method to solve this:

Begin by times -1 to the bottom equation.

[tex]2x-3y=18[/tex]

[tex]-2x-y=-2[/tex]

Add them together

[tex]0x-4y=16[/tex]

ignore the 0x and divide -4 to both sides

[tex]\frac{-4y}{-4} =\frac{16}{-4}[/tex]

y = -4

Plug y back into one of the two original equations

[tex]2x-3(-4)=18[/tex]

multiply -3 and -4 to get +12

[tex]2x+12=18[/tex]

subtract 12 to both sides

[tex]2x=6[/tex]

divide by 2 to both sides

x = 3

Which of the following expressions has a value that is greater than -1? Select all that apply.
A) -6 + 6
B) -8 - (-11)
C) 9 + (-7)
D) -3 – 5
E) -8 + (-2)

Answers

Answer:

A. -6+6=0 0>-1

C. 9+(-7)=2 2>-1

The lines represented by the equations y
3x + 5 and 5y– 15x = -10
are?

Answers

Answer:

#1 - y (0, 5) x (1, 8)

#2 - y (0, -2) x (1, 1)

(things in brackets are coordinates for the line)

Step-by-step explanation:

hope that helps :)

Is there anybody here good at medical terminology??? pls I need help on one of my questions.

Answers

Answer:

I could try.

Step-by-step explanation:

Work at a convenience store 60% of your time, and earn $11.00 an hour. Referee games at your city park 25% of your time, and earn $19.00 an hour. Do your elderly neighbor’s housework 15% of your time, and earn $16.00 an hour. What will your average hourly wage be? Enter your answer up to two decimal places.

Answers

Answer:

13.75

Step-by-step explanation:

The expected value of the hourly wage is the sum of the probabilities (percentage of time spent on each job) multiplied by the payoff (money earned) from each possible occurrence (job):

(0.6 × 11) + (0.25 × 19) + (0.15 × 16) = $13.75.

Please help! I need help

Answers

Answer:

median is 32 and the mean is 21

5(x+4) Sorry, my brain isn’t working today.

Answers

Answer:

5x + 20

Step-by-step explanation:

Apply the distributive property.

5x + 20

good luck and i hope this helps :)

make sure to get some good sleep too lol

Answer:

5x + 20 is your expression

Step-by-step explanation:

Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?

Answers

For every 3 trees H plants, S plants 5. H plants 6 so S plants 10

There are two groups of 3 in the 6 trees that H plants. That means there will be two groups of 5 that S will plant.

The answer is 10

help pls lol it’s due today:)))

Answers

Answer:

4. supplementary

5. complementary

Step-by-step explanation:

4 is supplementary because the sum of the two angles is 180°.

5 is complementary because the sum of the two angles is 90°.

Answer:

4. Supplementary

Supplementary angles sum up to 180 degrees.

105 degrees + 75 degrees = 180 degrees

5. Complementary

Complementary angles sum up to 90 degrees.

30 degrees + 60 degrees = 90 degrees

Hope this helps, thank you !!

How do I figure this out?

Answers

it is 1 2 twelve I can end without 20 word my friend so deal with it

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2

Answers

Answer:

㏒(2x²) = ㏒(2) + 2㏒(x)

Step-by-step explanation:

As given,  ㏒(2x²)

As we know that ㏒(MN) = ㏒(M) + ㏒(N)

⇒㏒(2x²) = ㏒(2) + ㏒(x²)

As we know that ㏒(xⁿ) = n㏒(x)

⇒㏒(2x²) = ㏒(2) + 2㏒(x)

∴ we get

㏒(2x²) = ㏒(2) + 2㏒(x)

Can I please have some help with this question

Answers

Answer:

60

Step-by-step explanation:

2a is more than 90 so it is more likely to be 120

so divide that by 2 and 60

Answer:i think a=120

If 9x + 10=y what is y??

Answers

Answer:

above beat me to it he is right

Four months of the year have thirty days only. What fraction of the set
of months is this?​

Answers

Answer:

4/30 or 4/120

Step-by-step explanation:

please help me please will give brainliest ​

Answers

Answer:

12) You should "Never drop trash on the ground"

13) I believe "Everyone should be aware about littering"

14) I believed "that everyone should know littering is bad "

15) Do you think "Littering is bad?"

16) I can't stand "when people do not care about littering " 

17) It is important "to be aware about littering and the effect it has on the world"

Step-by-step explanation:

f(x)=3x2+2x−3

g(x)=2x+4

Answers

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

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