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sergij07 [2.7K]
3 years ago
9

Need Help NO LINKS please Special Right Triangles (Radical Answers)

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

x =  2\sqrt{2} (or \frac{2\sqrt{2} }{1} if it needs to be represented as a rational denominator)

Step-by-step explanation:

We know that;

1.) This triangle is equilateral, and because of the line segment it's divided into 2 right triangles.

2.) The base of the whole triangle would be 4, and the base of the right triangle would be 2, since the base is cut in half with a mid point.

Therefore we can say;

A² + B² = C²

x² + 2² = 4²

x² + 4 = 16

x² = 16 - 4

x² = 8

x = \sqrt{8}

Simplifying this further would be;

\sqrt{8} = \sqrt{4} * \sqrt{2}

\sqrt{8} = 2\sqrt{2} (or \frac{2\sqrt{2} }{1} if it needs to be represented as a rational denominator)

Hope this helps!

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5 is subtracted from three-fifths of x...please someone translate this expression for me.​
Fudgin [204]
3/5x-5
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3 years ago
2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m
sleet_krkn [62]

Answer:

5 and 18

Step-by-step explanation:

The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.

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3 years ago
Can u help me with this it's hard ​
Pani-rosa [81]

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1. Adjacent 2. Vertical 3. Vertical 4. Neither 5. Adjacent

Step-by-step explanation:

7 0
2 years ago
Mr. Pham wrote the equation below on the board.
Zielflug [23.3K]

Answer:

  5.5

Step-by-step explanation:

Given:

  18 -7x = -20.5

We can find x by subtracting 18, then dividing by the coefficient of x. (This is known as a 2-step equation.)

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8 0
3 years ago
Read 2 more answers
intext:"A shipment of 50 inexpensive digital​ watches, including 6 that are​ defective, is sent to a department store. The recei
andrezito [222]

Answer:

0.7125

Step-by-step explanation:

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes (with probability p) in a sequence of n independent events.

The probability of getting exactly x successes in n independent Bernoulli trials =  n_{C_{x}}(p)^x(1-p)^{n-x}

Total number of watches in the shipment = 50

Number of defective watches = 6

Number of selected watches = 10

Let X denotes the number of defective digital watches such that the random variable X follows a binomial distribution with parameters n and p.

So,

Probability of defective watches = \frac{X}{n}=\frac{6}{50}=0.12

Take n = 10 and p = 0.12

Probability that the shipment will be rejected = P(X\geq 1)=1-P(X=0)

=1-n_{C_{x}}(p)^x(1-p)^{n-x}\\=1-10_{C_{0}}(0.12)^0(1-0.12)^{10-0}

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

So,

Probability that the shipment will be rejected = =1-\left ( \frac{10!}{0!(10-0)!} \right )(0.88)^{10}

=1-(0.88)^{10}\\=1-0.2785\\=0.7125

6 0
3 years ago
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