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2 years ago

I NEED HELP PLEASE HURRY, THANKS! :)

Mathematics

2 answers:

Dvinal [7]2 years ago

8 0

Answer:

using SOHCAHTOA

COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3

TEA [102]2 years ago

7 0

Answer:

Step-by-step explanation:

First, note that since $sin(\theta)=2/3$ , this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is $\sqrt{5\\$ .

Also note that we are told that $sec(\theta)$ . This means that $\theta$ cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that $\theta$ is in the second quadrant.

In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent= $-\sqrt{5}$ (because it's in Quadrant II), and hypotenuse=3.

Therefore...

$cos(\theta)=-\sqrt{5} /3$

$tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)$

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A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre

Ierofanga [76]

Answer:

Step-by-step explanation:

Volume of the rectangular tank = Length * Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0

2 years ago

A teacher writes the name of each of her 25 students on a slip of paper and places the papers in a box. To call on a student, sh

Gre4nikov [31]

Answer:

0.56

Step-by-step explanation:

There are 14 girls, and a total of 25 students. So the probability of selecting a girl is P = 14/25 = 0.56.

8 0

3 years ago

Read 2 more answers

15v − -14v − -14 = -15 solve for v ps..... help plz

Alchen [17]

Solve for v by simplifying both sides of the equation, then isolating the variable.

v = -1

5 0

2 years ago

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

2 years ago

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

$n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months$

Therefore, it will take 88.2 months to accumulate the amount.

7 0

3 years ago