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1 year ago

9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The

1 answer:

5 0

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

Learn more about Pythagoras' theorem here:

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You might be interested in

According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round

Temka [501]

<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

$P_{1}V_{1}=P_{2}V_{2}$

Where,

$P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume$

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

$P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}$

So, substituting the given information and calculating, we have:

$V_{1}=\frac{8.59atm*527mL}{5.42atm}$

$V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL$

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0

3 years ago

Here is a easy question :- if -25/5 x p/q =1 , then p/q is equal to ?

bazaltina [42]

Answer:

p/q = -5/25

multiply-25/5 × -5/25 You'll get the answer as 1.

3 0

2 years ago

Read 2 more answers

Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.

Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0

3 years ago

What is 8259 rounding to the tens place

suter [353]

Answer:

8260

Step-by-step explanat11:

7 0

3 years ago

Read 2 more answers

One year, the population of a city was 225,000. Several years later it was 236,250. Find the percent increase.

vampirchik [111]

Based on the information given the percentage increase is 5%.

<h3>Percentage increase</h3>

Using this formula

Percentage increase=Population several years later-Population for year/Population for one year×100%

Let plug in the formula

Percentage increase=236,360-225,000/225,000×100

Percentage increase=5%

Inconclusion the percentage increase is 5%.

Learn more about percentage increase here:brainly.com/question/11360390

4 0

2 years ago