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Molodets [167]
3 years ago
15

JUST HELP ME! PLEASE!!..0o0Applying the Pythagorean theorem, solve this triangle.​

Mathematics
2 answers:
stira [4]3 years ago
5 0
Yas the answer is 100ft like the person before me has said.

Inessa [10]3 years ago
4 0
<h3>Answer:    <u>100 ft</u>  is the hypotenuse</h3>

===================================================

Work Shown:

a = 60 and b = 80 are the two known sides

c  is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10,000 = c^2

c^2 = 10,000

c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

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Georgia [21]

Answer:

ray BC

Step-by-step explanation:

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1 year ago
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
vivado [14]
The number of red marbles pulled is C: 0.17

Here's why:
2+6+4= 12
2/12= 1/6
1/6= .166666667 or about .17

I hope this helps:)
7 0
3 years ago
Read 2 more answers
Carmen reads 6/7 of a page in her library book in 12/5 minutes. At this rate, how many minutes does it take her to read the whol
kaheart [24]

Answer:

392 minutes

Step-by-step explanation:

She reads 6/7 of a page in 12/5 mins

She will read 1 page in (12/5)* (7/6) mins

She will read 140 pages in (12/5)*(7/6)*140 mins = 392 mins

4 0
4 years ago
Solve the following problem then write your answer before the number.
Triss [41]

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = \frac{20}{60} hours

                                 = \frac{1}{3} hours

Distance covered = 9 km

But,

speed = \frac{distance covered}{time taken}

Rizza's average speed = 9 ÷ \frac{1}{3}

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = \frac{distance covered}{speed}

                   = \frac{210}{60}

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

6 0
3 years ago
A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability
saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136

Total outcomes:

6 people from a set of 16.

T = \frac{16!}{6!10!} = 8008

Probability:

p = \frac{D}{T} = \frac{3136}{8008} = 0.3916

39.16% probability of selecting three Democrats and three Republicans

5 0
3 years ago
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