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3 years ago

Determine if triangle PQR and triangle STU are or are not similar, and, if they are,

Mathematics

1 answer:

slamgirl [31]3 years ago

8 0

Answer:

They are similar using the angle-angle property.

Step-by-step explanation:

Since you know that 2 of the angles are congruent, you can use this to prove triangle similarity.

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Before finding the surface area of a cylinder, you must convert all dimensions to the same unit of measure. True False

klio [65]

Answer:

true

Step-by-step explanation:

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4 years ago

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You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounds daily. How much money will you have

Vlad1618 [11]

2000(1+0.06/360)^15*360=??

5 0

3 years ago

Solve:

lys-0071 [83]

Answer:

six and eight ninths

Step-by-step explanation:

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3 years ago

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Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

CaHeK987 [17]

Answer:

$100

Step-by-step explanation:

Let C be the cost for 150 minutes of play time.

We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.

$\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}$

Upon substituting the given value we will get,

$\frac{20}{30}=\frac{C}{150}$

Upon cross multiplying our equation we will get,

$30C=150\times 20$

Upon dividing both sides of equation by 30 we will get,

$\frac{30C}{30}=\frac{150\times 20}{30}$

$C=\frac{150\times 20}{30}$

$C=5\times 20$

$C=100$

Therefore, Quinn need $100 to pay for 150 minutes of play time.

8 0

3 years ago

Read 2 more answers

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When

Lapatulllka [165]

Answer:

6.56% probability that a real emergency situation exists.

Step-by-step explanation:

We have these following probabilities:

A 0.4% probability that a real emergency situation exists.

A 99.6% probability that a real emergency situation does not exist.

If an emergency situation exists, a 95% probability that the alarm sounds.

If an emergency situation does not exist, a 2% probability that the alarm sounds.

The problem can be formulated as the following question:

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.

In this problem:

What is the probability of a real emergency situation existing, given that the alarm has sounded.

P(B) is the probability of there being a real emergency situation. So $P(B) = 0.004$ .

P(A/B) is the probability of the alarm sounding when there is a real emergency situation. So P(A/B) = 0.95.

P(A) is the probability of the alarm sounding. This is 95% of 0.4%(real emergency situation) and 2% of 99.6%(no real emergency situation). So

P(A) = 0.95*0.04 + 0.02*0.996 = 0.05792

Given that the alarm has just sounded, what is the probability that a real emergency situation exists?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.004*0.95}{0.05792} = 0.0656$

6.56% probability that a real emergency situation exists.

6 0

3 years ago