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

Can someone answer this please with an explanation.

Answers

Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

Based on the diagram below, which of the following expressions is equal to π?

Answers

Answer: 3.14

Step-by-step explanation:

Answer:

none is equal to   π

Step-by-step explanation:

no graph shown.

The Lee family buys a new car that has a sales price of $35,000. If the car dealer requires a minimum down payment of 15%, what is the minimum down payment in dollars the Lees must pay for their car?
Choose the correct value.
$525
$5,250
$3,500
$15,000

Answers

Answer:

Si un electrón no consume, ni libera energía el átomo se encuentra en

Step-by-step explanationSi un electrón no consume, ni libera energía el átomo se encuentra en:

find the area of the shape

Answers

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Paula has 2 bananas. She wants to divide each of them into sections. How many 's are there in 2 bananas?

Answers

Answer:

Answer is 1

2 divided by 2

Step-by-step explanation:

John plans to practice piano at least 2 1/2 hours this weekend. if he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal?

Answers

Answer:

No, it does not meet the goal. 2 hours and 10/24

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

Answers

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

What is the formula to find the area of a polygon?

Answers

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

you can watch this!!

https://youtu.be/n1YKOggLjUQ

Order the decimals from least to greatest.

0.7, 0.71, 0.07

Answers

Answer:

0,07, 0.7, 0.71

Step-by-step explanation:

0.07, 0.7, 0.71

that's it

Jim makes $5 an hour at the surf shop. His boss gives him a one-time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss givers her a one-time bonus of $14. If they both work 15 hours, who will have a bigger paycheck?

Answers

Answer:

Sarah had the bigger paycheck of $134

Step-by-step explanation:

First we would need to find the total amount of money each one of them made in those 15 hours. We do this by multiplying their hourly rate by the hours worked and then adding the bonus

Jim:  (5*15) + 50 = x

          75 + 50 = x

              125 = x

Sarah: (8 * 15) + 14 = x

             120 + 14 = x

                  134 = x

Finally, we can say that Sarah had the bigger paycheck of $134 which is $9 more than Jim's

please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

#1 i know for a fact ur not going to pay us

#2 theres no picture

#3 Sorry :(

Find the missing side

Answers

Answer:

72

Step-by-step explanation:

The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.

Because of this, in this triangle 30^2 + B^2 = 78^2

Which means B^2 = 5184

And B = 72

Kevin led 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, write and solve an equation to show the amount of students in the student groups

Answers

Answer:

Number of students in a student group = 8

Step-by-step explanation:

Let number of student in a student group = x

∴ Kevin lead 150 adults and 6x students

⇒Kevin lead = 150 + 6x

And,

Monica lead 134 adults and 8x students

⇒Monica lead = 134 + 8x

So, the number of students are equal

⇒150 + 6x = 134 + 8x

⇒150 - 134 = 8x - 6x

⇒16 = 2x

⇒x = [tex]\frac{16}{2}[/tex] = 8

∴ we get

Number of students in a student group = 8

the set of all numbers greater than or equal to 5 and less than or equal to 7

Answers

5 ≤ x ≤ 7

The list of numbers would be: 5,6,7

Hope this helped :)

The notation according to the set will be "[tex][5, + \infty) \cup (- \infty , 7][/tex]".

Let,

"x" belongs to a set of (Real numbers) R.

∴ [tex]x \ \epsilon \ R[/tex]

Now,

[tex]x \geq 5[/tex][tex]x \leq 7[/tex]

hence,

→ [tex]x \leq 7 \rightarrow (- \infty, 7][/tex]

→ [tex]x \geq 5 \rightarrow [5, + \infty)[/tex]

then,

The notation will be:

→ [tex][5, + \infty) \cup (- \infty , 7][/tex]

Thus the above solution is appropriate.

Learn more:

https://brainly.com/question/11375885

What is fifty seven over one hundred

Answers

Answer:

57/100

Step-by-step explanation:

57/100

Fifty-seven(57) over one-hundred(100), or 57 more than 100 would be 157!

Hope this helps, if not, comment below please!!!

:L

please help me with this

Answers

Answer: 5

Step-by-step explanation:

Plz help

I only need B
A natural history museum surveyed the people visiting the museum for one month and
created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph. (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how
many visitors were there for each age group? (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:

Answers

Answer:

19-44.

Step-by-step explanation:

I simply looked up the answer with a calculator.

Answer:

Age 18 and under: 175

Age 19 - 44: 1,750

Age 45 - 64: 1,500

Age 65 and over: 1,000

Step-by-step explanation:

I asked my mom and she kept roasting me :( So I kinda figured it out

Write the prime factorization of each number

5). 48

6). 20

7). 66

8). 34

Answers

Answer:

5). 4×4×3

6). 5×2×2

7). 11×3×2

8). 17×2

Step-by-step explanation:

These are the prime factorizations.

1) Evaluate the expression 5pq - 20 for p = 2 and q = 3
A. 10
B. 503
C. 30
D. 95
2) Tia and Hanan have collected 16 shells. If Hanan collected 6 shells less than Tia, how many shells did Hanan collect?

A. 10
B. 5
C. 22
D. 11

Pls help Fast

Answers

1) A
2)C

Please leave a thanks <3

5. Triangle ADE is enlarged to form triangle

Answers

Answer: the scale factor would be 2

Step-by-step explanation:

If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC

what property is ( 3y + 7 ) + 6 = 6 + ( 3y + 7 ) .

Associative Property
Commutative Property
Distributive Property

Answers

Answer:

Commutive Property

Step-by-step explanation:

The numbers switched that's all

Answer:

Commutative property

Step-by-step explanation:

Change

Order

m

m

u

t

a

t

i

v

e

so basically you’re not changing the group ( associative ) and you’re not multiplying into the groups ( Distribuative ) so the only other option would be Commutative, and you’re changing the order of the numbers so it would be commutative.

plz help me



The container below contains 2 gray. 1 white, and 4 black marbles. Without looking, if Eric chooses a marble from the container will the probability be closer to O or to 1 that Eric will select a white marble? A gray marble? A black marble? Justify each of your predictions.​

Answers

Step-by-step explanation:

Probability of Grey ball = 2/7 or 0.285. It is closer to 0

Probability of White marble = 1/7 or 0.142. It is closer to 0

Probability of Black marble = 4/7 or 0.571. It is closer to 1

ASAP! Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

c

Step-by-step explanation:

4^2+7.5^2=8.5^2

1. a. A cube’s volume is 512 cubic units. What is the length of its edge?

b. If a sphere fits snugly inside this cube, what is its volume?

c. What fraction of the cube is taken up by the sphere? What percentage is
this? Explain or show your reasoning.

Answers

Answer:

a) The length of its edge is 8 units.

b) The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Step-by-step explanation:

a) The volume of a cube ([tex]V_{c}[/tex]), measured in cubic units, is defined by the following expression:

[tex]V_{c} = L^{3}[/tex] (1)

Where [tex]L[/tex] is the side length of the cube, measured in units.

If we know that [tex]V_{c} = 512\,u^{3}[/tex], then the length of its edge is:

[tex]L = \sqrt[3]{V_{c}}[/tex]

[tex]L = 8\,u[/tex]

The length of its edge is 8 units.

b) The volume of a sphere ([tex]V_{s}[/tex]), measured in cubic units, that fits snugly inside this cube is defined by:

[tex]V_{s} = \frac{\pi}{6}\cdot L^{3}[/tex] (2)

If we know that [tex]L = 8\,u[/tex], then the volume of the sphere is:

[tex]V_{s} \approx 268.083\,u^{3}[/tex]

The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:

[tex]r = \frac{V_{s}}{V_{c}}[/tex]

If we know that [tex]V_{c} = 512\,u^{3}[/tex] and [tex]V_{s} \approx 268.083\,u^{3}[/tex], then the fraction of the cube that is taken up by the sphere is:

[tex]r = 0.524[/tex]

The result in percentage form is calculated by multiplying the result above by 100.

[tex]\% r = 52.4\,\%[/tex]

The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

HELP DUE IN 20 MINUTES

Answers

Answer:

A = 30 cents or $0.30

B = $2.70

Step-by-step explanation:

i hope it helps

Answer:  per lemon : $0.30, 9 lemons: $2.70

Step-by-step explanation: Ok so first if you wanna find the cost per lemon then you need to either divide or multiply for the longer way so what i did is divide and after i divided then i got $0.30 because if you multiply that by 5 it'll get you $1.50. So now for 9 lemons I just multiplied 0.30 by 4 so then after I got that answer i added it to the amount of dollars for 5 so it could be 9 lemons givin you the answer of $2.70 dollars.

PLEASE HELP!!!!!! IM HORRIBLE AT MATH​

Answers

Im bad at math too! we can be horrible at math together

geometry help, it’s easy!!!!!

Answers

Answer:

b

Step-by-step explanation:

all you do is divide 10.2 by tan (67) and you get 4.33

Answer: 4.33 I did the work.

Find the value of x AND the value of each angle.

Answers

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

Jonathan drives 845 miles in 5 hours. What is his average rate of speed in miles per hour?

Answers

845 / 5 = 169
his average rate of speed is 169 mph.

Answer:

ok so it is 169

Step-by-step explanation:

ok i hope this is correct i used a calculator so sorry if its wrong all i did was divide some stuff

if its correct can u give me the crown

if u dont want to thats alright

i divided 845 and 5 and got 169

How many grams are in a kilogram

Answers

Answer:

1000

Step-by-step explanation:

the prefix kilo means 1000

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