Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this question:
P(x>10)
In which
So P(x > 10) = 0.6981.
Answer:
10\pi[/tex]
Step-by-step explanation:
Circunferencia de un círculo = Pi veces diámetro
como el diámetro es igual a la mitad del radio, sabemos que si multiplicamos el radio por dos obtendremos el diámetro del círculo. Por lo tanto, 5 veces 2 = 10. Ahora hacemos 10 veces pi. El cual es 10 pi o 31.4159
Circumference of a circle = Pi times diameter
since the diameter is equal to half the radius, we know that if we multiply the radius by two we will obtain the diameter of the circle. Therefore, 5 times 2 = 10. Now we do 10 times pi. Which is 10 pi or 31.4159
Elena spent
45min+30min+20min= 95 min
95 min is 1 h and 35 min
she arrived at home at 4:10
Elena left at 2:35 pm
