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3 years ago

Find the exact value of tan 15 degrees

1 answer:

4 0

<span>tan(15) =
sin(15) / cos(15) =
sin(45 - 30) / cos(45 - 30) =
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)]

Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)]
[ √3/2 - 1/2 ] / [ √3/2 + 1/2]
(√3 - 1) / (√3 + 1)
(√3 - 1)^2 / (√3+1)(√3 - 1)
(√3 - 1)^2 / (3 - 1)
(3 - 2√3 +1) / 2
2 - √3

There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>

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Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the

vaieri [72.5K]

Answer:

6750

Step-by-step explanation:

simple interest = P×r%×t

P = $6000

r = 2.5%

t = 5 years

I = 6000 × 2.5/100 × 5

= 750

6000 + 750 = $6750

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3 years ago

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has d

Alinara [238K]

Answer:

Read step by step explanation

Step-by-step explanation:

The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude

1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project

2.-As sample size is smaller than 30 the test has to be t-student one tail test to the left

Test hypothesis

Null hypothesis H₀ x = 38

Alternative hypothesis Hₐ x < 38

We should test at a significance level α = 0,05 (α = 5%)

If the result of the test is to accept H₀ delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.

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3 years ago

What is the answer to 2 X 2/3<br> Need help ASAP

Alona [7]

Answer:

1.33333333333 , simplified to 1.3

Step-by-step explanation:

Our equation is 2 multiplied by 2 over 3.

Fractions mean division.

So, let's multiply 2 by 2/3.

We get 1.33333333333

That's too long! What can we simplify it to?

1.3

Hope this helped!

- Melanie

8 0

3 years ago

Read 2 more answers

Glen needs to select the shortest length nail available to build a small bird house. Of the following for sizes available which

vodka [1.7K]

Answer:

B) 1 7/8

Step-by-step explanation:

1. first, if you have 16/8 then it would be 2, but since it is 15/8 you need to minus 15 and 8

2. 15-8=7, now you only have 7

3. last, since you only have 7 then it is 1 whole and 7 8ths

4. 1 7/8 is your answer.

3 0

3 years ago

Need help with What is F(x)=a*b^x please explain the steps

lubasha [3.4K]

9514 1404 393

Answer:

3
3
(1,6)
2
f(x) = 3·2^x

Step-by-step explanation:

The blanks you're to fill in explain the steps.

The y-intercept is the value of the function when x=0. It is where the graph crosses the y-axis.

f(0) = a·b^0 = a·1 = a

Reading the y-intercept from the graph, we see ...

The y-intercept is 3. The a-value of the function is 3.

The point when x=1 is ...

f(1) = a·b^1 = 3b

Reading the value from the graph, we find the point to be (1, 6). This means ...

3b = 6

b = 2 . . . . . . . divide both sides by 3

The point when x=1 is (1, 6). The b-value of the function is 2.

The equation of the function is f(x) = 3·2^x.

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3 years ago