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3 years ago

Explain how to solve the equation and how to check the solution.

2 answers:

6 0

equations by using inverse operations, including squares, square roots, cubes, ... A pair of inverse operations is defined as two operations that will be ... The following examples summarize how to undo these operations using their ... x is divided by 2, so we multiply by 2 on both sides. 2. 8 2. 2 x. ∙ = ∙. Solution: 16. explanation:

maria [59]3 years ago

6 0

Answer:

Step-by-step explanation:

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A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlar

OverLord2011 [107]

Answer:

The area of the enlarged triangle is $4$ times the original area

Step-by-step explanation:

we know that

The scale factor is equal to divide the measurement of the length side of the enlarged triangle by the the measurement of the length of the corresponding side of the original triangle

In his problem

Let

x------> the length side of the original triangle

2x-----> is the length of the corresponding side of the enlarged triangle

$scale\ factor=\frac{2x}{x}=2$

$scale\ factor> 1$ -------> that means is increasing

The scale factor squared is equal to the ratio of the area of the enlarged triangle divided by the area of the original triangle

Let

m-------> the area of the enlarged triangle

n------> the area of the original triangle

r-------> scale factor

$r^{2} =\frac{m}{n}$

we have

$r=2$

substitute

$2^{2} =\frac{m}{n}$

$m=4n$

therefore

The area of the enlarged triangle is $4$ times the original area

8 0

3 years ago

Verify the identity. Show your work.<br> cot0 x sec0= csc0

BabaBlast [244]

(by 0 i mean the "theta" sign)

cot0 x sec0 = csc0

(cos0/sin0) x (1/cos0) = 1/sin0

1/sin0 = 1/sin

6 0

3 years ago

Fill in the blanks<br> 3 over 8 = 15 over something

Viktor [21]

$\frac{3}{8}= \frac{15}{x} \\ \frac{3}{8} \frac{*5}{*5}= \boxed{\frac{15}{40}}$

4 0

4 years ago

Read 2 more answers

There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to p

alexira [117]

Answer:

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

Step-by-step explanation:

There are 1000 future terrorists in a population of 300,000,000. So the probability that a randomly selected person in this population is a terrorist is:

$P = \frac{1,000}{300,000,000} = 0.000003 = 0.0003%$

So, we have these following probabilities:

A 99.9997% probability that a randomly chosen person is not a terrorist.

A 0.0003% probability that a randomly chosen person is a terrorist.

A 98% probability that a future terrorist is correctly identified

A 99.9% chance of correctly identifying someone who is not a future terrorist. This also means that there is a 0.01% probability of someone who is not a terrorist being identified as one.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Here we have:

What is the probability that the person is a terrorist, given that she was identified as a terrorist.

P(B) is the probability that the person is a terrorist. So $P(B) = 0.000003$

P(A/B) is the probability that the person was identified as a terrorist, given that she is a terrorist. The problem states that the system has a 98% chance of correctly identifying a future terrorist, so $P(A/B) = 0.98$

P(A) is the probability of a person being a identified as a terrorist. So

$P(A) = P_{1} + P_{2}$

$P_{1}$ is the probability that a person is a terrorist and was identified as one. So:

$P_{1} = 0.000003*0.98 = 0.00000294$

$P_{1}$ is the probability that a person is not a terrorist and, but was identified as one. So:

$P_{2} = 0.999997*0.0001 = 0.0000999997$

$P(A) = P_{1} + P_{2} = 0.00000294 + 0.0000999997 = 0.000103$

The answer is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.000003*0.98}{0.000103} = 0.028544$

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

3 0

3 years ago

How do you make .208 a fraction?

seropon [69]

$0.\underbrace{208}_{3}=\frac{208}{1\underbrace{000}_3}=\frac{208}{1000}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 8\\\\\frac{208}{1000}=\frac{26}{125}\\\\Answer:0.208=\frac{26}{125}$

6 0

4 years ago