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

HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm

Answers

Answer:

x= 44 cm

Step-by-step explanation:

[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]

What is the reciprocal 1/5. im very confused​

Answers

Answer:

5/1

Step-by-step explanation:

The reciprocal is just flipping the fraction!

Solve for r.

–6(r − 98) = 78

Answers

Answer:

r=85

Let's solve your equation step-by-step:

−6(r−98)=78

Step 1: Simplify both sides of the equation

−6(r−98)=78

(−6)(r)+(−6)(−98)=78(Distribute)

−6r+588=78

Step 2: Subtract 588 from both sides

−6r+588−588=78−588

−6r=−510

Step 3: Divide both sides by -6

−6r/−6=−510/−6

r=85

Answer:

r=85

Answer:

85

Step-by-step explanation:

–6(r − 98) = 78

expand:

-6r+588=78

588-78=510

6r=510

510÷=85

value of -2 ( x + 5 )

Answers

(-2x - 10)

i am smart

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. a. X + 12 = 20 ( 12,8,20,0) b. P - 4 = 0 (4,-4,8,0) c. 2y - 3 = 7 (0,3,5,7) Plz explain ;)

Answers

Answer:

(a) 8

(b) 4

(c)5

Step-by-step explanation:

We are given multiple parts and we  need to provide the correct answer among the given options, also we need to prove that rest of the answers are wrong.

(a). X + 12 = 20 ( 12,8,20,0)

X= 20 -12

X= 8, so only 8 is the correct answer and rest are wrong.

Proof: lets take other given options into consideration

X= 12

X+12 =12+ 24 which is wrong because X+12 is already given as 20.

similarly,

X=20

X+12 = 20+12 = 36, which is wrong because X+12 is already given as 20.

X= 0

X+12 = 0+12 = 12, which is wrong because X+12 is already given as 20.  

(b). P - 4 = 0 (4,-4,8,0)

P-4 = 0

P= 4, So only 4 will give the correct answer and not the other options.

P= -4 = -4 -4 = -8, which is wrong because P-4 is is already given as 0.

similarly,

P = 8  = 8-4 = 4, which is wrong because P-4 is is already given as 0.

P = 0, 0-4 = -4 , which is wrong because P-4 is is already given as 0.  

(c). 2y - 3 = 7 (0,3,5,7)

       2y = 7 + 3

       2y = 10

          y = 5, only 5 will satisfy this given equation and rest will be wrong,

y = 0

2y-3 = 7

2(0) -  3 = 7

-3 = 7 which is not correct as LHS and RHS must be same.

similarly,

y = 3

2y-3=7

2(3) - 3 =7

6-3 = 7

3=7 which is again wrong.

y = 7

2(7) -3 =7

14-3 = 7

11=7, which is wrong.

Therefore the given options for the correct answers is verified and the wrong answers are given as the proof.

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?

Answers

Answer:The best prediction is 1/6 of the times or one time of the six that you will roll a two..

This is because without any interference, each of the six numbers of the dice will have same theoretical probability (which is the probability or chances that is expected.

subtract x^2 - 2x - 6 from -6x + 5

Answers

Answer:

x^2+4x-11

Step-by-step explanation:

x^2 - 2x - 6 - (-6x + 5)

x^2-2x-6 +6x - 5

x^2 +4x -11

The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease from August to October?
Type your answer using the % key. Round to the nearest whole percentage if necessary.

Answers

Answer:

72% decrease I...guess?

120 members-60 members=50%

-70 should be approx=60%

-80  should be approx=70%

so 80 is around 70%, so I'd say 82 is 72%

I'm most likely wrong but i dunno maybe im right

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

((120 - 82) / 120) x 100 = 31.66 %

31.66% to the nearest whole percentage is 32%

After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.

Answers

Answer:

1

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

2a

X+x+25=100

2x=75

X=37.5%

Men=.375*270=101

2b

What is the constant in the
expression below?
15 – 4b
A
B
С

Answers

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

(GIVING BRAINLIEST!!!)

0.5 g of salt is equal to how many milligrams?

Show all of your calculations.

Answers

Answer:

500 mg

Step-by-step explanation:

K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)

since you're using grams substitute G for B

K H D G D C M

you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!

Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?

Answers

Answer:

$22.5

Step-by-step explanation:

The original price is $30 and it's on sale for 25% off.  Since 25% is a quarter of the total price, I divided 30÷4=7.5.  $7.5 is 25% of $30, so 7.5 is the amount taken off the original price.  To find what Daysi paid, I subtracted 30-7.5=22.5.  $22.5 is the result after the 25% off, so Daysi paid $22.5.  

4x = 44

PLease help UNDEN

Answers

Answer:

x= 11

Step-by-step explanation:

What features do all right trlangles have in common?​

Answers

They all have 3 angles and 3 sides

Answer:

all right trigangles must have a 90 degress angle

Step-by-step explanation:

no

The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)

Answers

Answer: C

g(x) = 1/2 f (x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Do you agree with the rules of the council on tall buildings and urban habitat regarding spires and antennae? Are the Petronas towers really taller than the Sears tower?

Answers

Answer:

Yes, I agree

The Petronas Towers are taller than the Sears tower

Step-by-step explanation:

The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.

According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.

The architectural height of the Petronas towers is 1,483ft

The architectural height of the Sears (now Willis) tower is 1,450ft

PLS SOMEONE HELP MEEE​

Answers

Answer:  20

Explanation:

Answer:20



Explanation:

Can anyone help me with this??

Answers

Answer:

find the cordinates of each letter or number then find witch is greater or less than when your answering it

Step-by-step explanation:

Please help due now in 10mins please I’m beg you

Answers

Answer:

Step-by-step explanation:

a. f(x)=3x+10

b. $112

HELP ASAP 3.) Andy's Karpet Kleaning charges a $23 consultation fee, plus $17 per hour to clean carpets. Stanley
Steemer charges a $37 consultation fee, plus $13 per hour. After how many hours will the total charge be the
same? What is the charge?

Answers

Answer:

After 3.5 hours and the charge is $82.50.

Step-by-step explanation:

Setting up the equations equal to each other will give a solution (x-value) that makes both sides equal (the same price) after the same amount of hours (x-value).

13x + 37 = 17x +23

x = 3.5

Then plug the hours into either side to get the equal price.

13(3.5) + 37 = $82.50

OR

17(3.5) + 23 = $82.50

Please help it's due today. Also please don't answer if you don't know.​

Answers

Answer:

the second answer

Step-by-step explanation:

hope u do well :)))))))))))))

Answer:

[tex]\frac{3a^4b}{7}[/tex]

Step-by-step explanation:

thats the simplified version

What is the common ratio of the geometric
sequence below?
-5, -10, -20, -40, -..

Answers

2
Hope this helps!!!!

IF YOU GET THE RIGHT ANSWER I WILL MAKE YOU BRAINLIEST

Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below. 2,3,,4,4 6,6,7 After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Renee used?

Answers

Answer:

2 cm, 3 cm or 4 cm

Step-by-step explanation:

Diameters of potatoes:

2, 3, 4, 4, 6, 6, 7

Median is:

4 cm

After one potato used the median becomes 5 cm.

Out of 6 potatoes left, the two in the middle should give 5 cm in average

This is 4 cm and 6 cm.

Renee must have used one of the 4 potatoes on the left: 2 cm, 3 cm or 4 cm

Find the Area of the Figure. Do not type in the units.

Answers

We need the figure to solve it

ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.



Which expression shows the value of the car in x years.


y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power

y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power

y=45,000(1.07)^xy=45,000( 1.0 7^x)

y=45,000(1.7)^x

Answers

Each year the car depreciates at a rate of 7% per year. Each year the car will depreciate by the amount of $3,150per/year.
3150(#of years) would give you the the amount if the cars worth in that time spand

expand and simplify
(y + 2) (y-2)

Answers

Y^2-4, using the foil method
(y+2)(y-2)

= y(y-2) + 2(y-2)

= y^2 - 2y + 2y - 4

= y^2 + 0 - 4

= y^2 - 4

a 5/18
b 1/2
c 5/9
d 9/10​

Answers

Answer:It should be 5/9 as its the only one that is probable,

Step-by-step explanation:

If its not 1/2 its not 9/10 so that automautically declines 2 answers leaving 5/18 and 5/9. And 5/18 is way to little for a 36 to 20 ratio, so that leaves 5/9.

Math can anyone help me

Answers

Answer:

C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]

Step-by-step explanation:

The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.

Hope it helps!

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

66.6666666667 as a mixed number in simplest form

Answers

Answer:

66 67/100

Step-by-step explanation:

Answer:

Mix Number form: 66 2/3

Simplest Form: 6.66

Hope this helps.

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