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
irga5000 [103]
2 years ago
13

Cot (15 degrees)

Mathematics
1 answer:
STatiana [176]2 years ago
8 0

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

You might be interested in
HELP WITH THE FIRST QUESTION WHAT IS THE INEQUALITY
Finger [1]

Answer:

y\ge\left(2x-3\right)

(edited)

7 0
3 years ago
At a concert 20% of the people are wearing black dress suits,1/4 are wearing navy,0.35 are wearing brown,and the rest are wearin
yan [13]

Answer:67

Step-by-step explanation: cause tghe number is not a number

5 0
3 years ago
Please help me I’ll mark brainliest:)
Archy [21]

Answer:

x = 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4
Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = \frac{x}{2}

So, value of car after depreciation in another 4 years = Half of the value after 4 years = \frac{1}{2}(\frac{x}{2})=\frac{x}{4}

Therefore, final depreciated value after 8 years is \frac{x}{4}.

But, as per question, final depreciated value is $5000. Thus,

\frac{x}{4}=5000\\x=5000\times 4\\x=20000

Therefore, the original price of the car was $20,000.

3 0
3 years ago
A room has a cathedral ceiling. If the walls in the room are 10 feet high and the ceiling is 18 feet high in the center of the r
9966 [12]
Check the picture below

notice, the run is half 35

recall slope = rise/run

4 0
3 years ago
Other questions:
  • Sam owns a vegetable stand. He tracks the price of potatoes, p, in dollars per pound
    13·2 answers
  • X + 4y = -3 x + 7y = - 12 *
    13·1 answer
  • andy deposited $1567.12 in a savings account that earns 1.9% simple interest. what will andy's account balance be in nine months
    11·1 answer
  • Who know how to do this​
    9·1 answer
  • Which is the product?
    5·2 answers
  • 2/3(3x+9)=−2(2x+6)<br><br> I don't know how to do the fraction???
    11·1 answer
  • Steve has converted his garage into a separate living space and listed the property for short-term rental on an online platform.
    11·1 answer
  • HELP ASAP!!!! WILL GIVE BRAINLIEST! Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and
    13·2 answers
  • Write an equation of the line that has a slope of -5 and a y-intercept of 4 in slope-intercept form.
    14·1 answer
  • What is the decimal, mixed number and fraction for 600%
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!