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In-s [12.5K]
3 years ago
7

What is the value of x

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:


Step-by-step explanation:

If the upper triangle has a right angle at Island C, we need only use the Pythagorean Theorem to find x:

(10 mi)^2 + (20 mi)^2 = x^2, so that

x^2 = 100 mi^2 + 400 mi^2 = 500 mi^2, which reduces to

x = +10√5 mi

Note that the shortest side (10 mi) is adjacent to a 30 degree angle.  Thus, the upper triangle is a 30-60-90 triangle, meaning that the Pythagorean Theorem DOES apply here.

Next time, please incude ALL of the verbal instructions.  Thank you.

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The probability that both marbles chosen from the bag will be yellow is 3/14.

<h3>What is the probability?</h3>

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that both marbles chosen from the bag will be yellow = (number of yellow marbles / total number of marbles) x (number of yellow marbles - 1/ total number of marbles - 1)

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Step-by-step explanation:

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What is the solution to the inequality |2n+5|&gt;1?
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ANSWER

n <  - 3 \: or \: n>  - 2



EXPLANATION



The given inequality is,

|2n + 5|  \:  >  \: 1


By the definition of absolute value,



- (2n + 5)  \:  >  \: 1 \: or \: (2n + 5) \:  >  \: 1



We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

2n + 5 \:   <   \:  - 1 \: or \: (2n + 5) \:  >  \: 1

We simplify now to get,

2n   \:   <   \:  - 1 - 5 \: or \: 2n  \:  >  \: 1 - 5


2n   \:   <   \:  - 6 \: or \: 2n  \:  >  \:  - 4


Divide through by 2 to obtain,

n   \:   <   \:  - 3 \: or \: n  \:  >  \:  - 2


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The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in s
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