1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
10

Textbook: Please write as an expression involving functions of Θ alone.

Mathematics
1 answer:
Setler [38]3 years ago
6 0

Step-by-step explanation:

tan(Θ + 30°)

Use angle sum formula:

tan(A + B) = (tan A + tan B) / (1 − tan A tan B)

So we can write this as:

(tan Θ + tan 30°) / (1 − tan Θ tan 30°)

tan 30° = 1/√3, so:

(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)

Multiply top and bottom by √3:

(√3 tan Θ + 1) / (√3 − tan Θ)

You might be interested in
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
Kelly leaves her home and cycles 4y miles south then cycles (3y + 9) miles east
atroni [7]
4y(3y + 9)
12y + 36
36 ÷ 12=x=3
7 0
3 years ago
Suppose a study estimated that 62% of the residents of a community (with an
kati45 [8]

Answer:

D. 55%

Step-by-step explanation:

The error range ± 9% means that the range is 9% below 62% or 9% above 62%.

The range is:

(62% - 9%) to (62% + 9%)

53% to 71%.

The only answer between 53% and 71% is 55%.

Answers A, B, C are all greater than 71%.

5 0
3 years ago
Someone please help!!
goldenfox [79]
Reflection, the quadratic parent function is reflected on the opposite side
3 0
3 years ago
What is the domain of f?
Sedbober [7]

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

5 0
2 years ago
Other questions:
  • I need help with this for #22 a., b., and c.
    6·1 answer
  • The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a hist
    15·1 answer
  • Help pleaseeeeeee!!!
    9·1 answer
  • Your friend invested $500 in his shop to start off, and makes a $20 profit every week afterwards. Find the minimum number of wee
    14·1 answer
  • *cassually dances to “Savage Love” by Jason Durulo cause I’m ALMOST DONE!*
    10·1 answer
  • Part A
    6·1 answer
  • Pls help I hate think central giving people what ever they want if you get it right
    9·1 answer
  • 8. Divide: (6x² - 4x)+2x<br>A. 3x - 4x<br>B. 3x - 2x<br>C. 6x-2<br>D. 3x - 2​
    15·1 answer
  • Please help explanation if possible
    7·1 answer
  • Goods costing $2,300 are purchased on account on July 15 with credit terms of 2/10, n/30. On July 18, a $100 credit memo is rece
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!