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2 years ago

If sin A = 3/5 and the cosA =4/5 then what is tan A

Mathematics

2 answers:

Ratling [72]2 years ago

5 0

Answer:

Tan A = 3/4

Step-by-step explanation:

sin A = y/r

Cos A = x/r

Tan A = y/x

xxTIMURxx [149]2 years ago

4 0

Answer:

3/4

Step-by-step explanation:

sin A = 3/5

cosA =4/5

We know that tan A = sin A / cos A

= 3/5 / 4/5

= 3/5 * 5/4

= 3/4

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Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o

pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0

3 years ago

The school cafeteria serves tacos every 60 and cheeseburgers every eighth day.If tacos and cheeseburgers are both on today's men

Ad libitum [116K]

Answer:

120 days

Step-by-step explanation:

Tacos are served every 60 days.

Cheeseburgers are served every 8 days.

Since, both Cheeseburgers and Tacos are served today, the next day on which both will be served is gotten by finding the Lowest Common Multiple of 60 and 8.

To find the LCM,

First, we express the numbers as a product of their prime factors.

60= 2X2X3X5=2²X3X5

8=2X2X2=2³

Next, we take each of the term with the highest power and multiply.

L.C.M = 2³X3X5=120

After 120 days, Cheeseburgers and Tacos will be served on the same day.

5 0

2 years ago

WILL MARK AS BRAINLIEST IF CORRECT!!!

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

If I'm not mistaken, she wants to ride atleast 85 miles per week. If you add up all of the values from going to and from the school, you would get 62.5 miles. So for it to add up to 85 miles, she would have to atleast do 9 trips around the park.

These numbers I believe do not matter however, all you need to do is put in C for greater than or equal to 85.

4 0

2 years ago

Read 2 more answers

How much money should be invested at 5% interest, compounded quarterly, so that 7 years later the investment will be worth $5000

vampirchik [111]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$5000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four times}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
5000=P\left(1+\frac{0.05}{4}\right)^{4\cdot 7}\implies 5000=P(1.0125)^{28}\\\\\\ \cfrac{5000}{(1.0125)^{28}}=P$

8 0

2 years ago

Suppose Gabe, an elementary school student, has just finished dinner with his mother, Judy. Eyeing the nearby cookie jar, Gabe a

Paladinen [302]

Answer:

0.56

Step-by-step explanation:

What is the probability that his mother returns just in time to catch Gabe stealing a cookie?

The probability of this is the same as 1 minus the probability that Gabe is NOT caught.

- Judy could return at anytime in the next 90 seconds

- Gabe spends the first 40 seconds pondering... time wasted=40secs

- It takes 30 seconds (out of the remaining 50secs) to finish eating a cookie without a trace

- The question says that Gabe was going to do it, so he probably did

Now we're looking for the probability that he gets caught. That is, probability that he does not "successfully" complete the 30secs task within the remaining 50secs.

Remember that each second has an equal probability of being the second that Judy comes back in. The latter of the 90 seconds does not carry a higher probability!

So the probability of catching Gabe (despite the 30secs it takes to complete his task) is 50/90 which is equal to 0.56

6 0

3 years ago