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
Alona [7]
3 years ago
10

How do i do this, i need to find an answer fast

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0

Answer:

y = 5√3

x = 10√3

Step-by-step explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

You might be interested in
Which of the following are congruent angles?
lozanna [386]
Letter B. X is a vertical angle, and so is F. Vertical angles are all congruent.
3 0
3 years ago
Read 2 more answers
Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra
dezoksy [38]
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18... 2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9. 1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6. Put it together and TA-DA... Your answer is 1/18
8 0
4 years ago
U have $77 in your bank account than you write a check for $100 at the store how many do I have now? Please show work
Allisa [31]

Answer:

$-23

77 - 100 = -23

8 0
3 years ago
In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte
sveticcg [70]

Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

Therefore,

P(not 0) = 1 - 0.6259 = 0.3741

4 0
3 years ago
Consider two competing firms in a declining industry that cannot support both firms profitably. Each firm has three possible cho
yaroslaw [1]

Answer:

a) attached below

b)  ( T,T )

c) The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

d) The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 )

Step-by-step explanation:

A) write down the game in matrix form

let: E = exit at the industry immediately

     T = exit at the end of the quarter

     N = exit at the end of the next quarter

matrix is attached below

B) weakly dominated strategies is ( T,T )

C) Find the pure-strategy Nash equilibria

The Pure-strategy Nash equilibria are : ( N,E ) and ( E,N )

D ) Find the unique mixed-strategy Nash equilibrium

The mixed-strategy Nash equilibrium for Firm 1 = ( 1/3 , 0, 2/3 )

while the mixed -strategy Nash equilibrium for Firm 2 = ( 1/3 , 0, 2/3 ) since T is weakly dominated then the mixed strategy will be NE

Assume that P is the probability of firm 1 exiting immediately ( E )

and q is the probability of firm 1 staying till next term ( N ) ∴ q = 1 - P.

hence the expected utility of firm 2 choosing E = 0 while the expected utility of choosing N = 4p - 2q .

The expected utilities of E and N to firm 2 =

0 = 4p - 2q = 4p - 2 ( 1-p) = 6p -2 which means : p = 1/3 , q = 2/3

4 0
3 years ago
Other questions:
  • What two different pairs of decimals whose sums are 8.69?
    8·1 answer
  • Find the range of the function
    6·1 answer
  • Can you please help me answer this?
    10·2 answers
  • I will give 15 points
    5·2 answers
  • In the expression a = k/b, what is k
    9·2 answers
  • HELP IF U WANNA BE MARKED BRAINLIEST
    6·2 answers
  • If x = 4, y = 2, and z = 10, evaluate the following expression: yz(x + y) – x? Enter​
    14·2 answers
  • Twice the sum of a number and 7 is equal to three times the difference of the number and 8. Find the number.
    5·1 answer
  • HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
    14·1 answer
  • Solve. Show all steps. 0.5 (8-2x)= 3-(x - 1 )
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!