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
Grace [21]
3 years ago
14

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

agpole, as shown below: Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 45 degrees, and angle BDC measures 30 degrees. The length of DC is 5 multiplied by square root of 3. Angle ADC measures 45°, and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?. A. 3.66 feet B.13.66 feet C. 8.66 feet D. 5 feet

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

  A.  3.66 feet

Step-by-step explanation:

Using trigonometry, we know that ...

  BC = DC·tan(30°)

  AC = DC·tan(45°)

  AB = AC -BC = DC(tan(45°) -tan(30°))

  AB = 5√3·(1 -√3/3) = 5(√3 -1)

  AB ≈ 3.66 . . . feet

You might be interested in
−1.64 as a mixed number in simplest form.
liraira [26]
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

-41\25
4 0
3 years ago
Please please please help! I can Venmo you too if needed
Ugo [173]
Send it to a tutor !! on brainly
3 0
3 years ago
Read 2 more answers
The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?
zheka24 [161]

Answer:

10^{0.4785+1.468x}=y

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: log(y)=0.4785+1.468x. And generally a logarithm can be written in the form log_ba=c which can then be rewritten as b^c=a, but since the log has no base, it's assumed to be 10. So in this case you have the equation:

log_{10}y=0.4785+1.468x, which can then be written in exponential form as:

10^{0.4785+1.468x}=y

8 0
2 years ago
Order the following integers from least to greatest. -4, 3, 0, -2, 1, -3
salantis [7]

Answer:

-4;  -3;   -2;   0;  1;   3;

Step-by-step explanation:

3 0
3 years ago
The population of a town 4000 and is decreasing by the rate of 5% per year. Estimate the population of the town after 3 years.
trapecia [35]
.05*3= .15

4000*.15= 600 So 600 people left the town

Now subtract

4000-600= 3400
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do I combine like terms
    12·1 answer
  • A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A rand
    15·1 answer
  • Question 12 I mark as brainliest ​
    13·1 answer
  • An inequality ) 3≥-12+5y<br>Whats Y ?
    15·2 answers
  • Drag the yellow point until an accurate "height" of the triangle is drawn. Afterwards, fill out the empty boxes below to determi
    5·1 answer
  • Need help asap please show work
    10·1 answer
  • Find the sum of 8a+2b-4 and 3b-5. write. in expanded form and then standard form​
    9·1 answer
  • On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the
    14·1 answer
  • In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
    11·1 answer
  • Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!