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
faust18 [17]
3 years ago
8

How can I solve this?Please use the simplest format​

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

You might be interested in
Pls help in this maths problem
tester [92]

Answer:

SORRY I don't know second number . I did only first .

5 0
3 years ago
olivia divided a fraction by 3\4 the quotient was a whole number was the divident less than 3\4? explain
svp [43]

Good evening ,

______

Answer:

No

___________________

Step-by-step explanation:

Look at the photo below for the details.

:)

4 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS THIS QUESTION CORRECTLY
vlada-n [284]
What’s the interest rate
8 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP!! I’m sturggling
mixer [17]

Answer:

The answer is D.  59.0

Step-by-step explanation:

6 x 10 = 60.

60 is close to 59.0

3 0
3 years ago
Read 2 more answers
Evaluate expressions- if r=45 and t=9 what is the value of the following expression?
lions [1.4K]
The answer is D: 66
By using PEDMAS
4 0
3 years ago
Read 2 more answers
Other questions:
  • 15 POINTS!!!
    13·2 answers
  • Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?
    13·1 answer
  • What is the value of y2 - x2 when y = 6 and x = 5
    8·2 answers
  • Solve for the factual of (5!)
    9·1 answer
  • Given the equation 5 + x -12 = 2x - 7. Part A. Solve the equation 5 + x - 12 = 2x - 7. In your final answer, be sure to state th
    14·2 answers
  • What is the logical conclusion, based upon the information given in the
    14·1 answer
  • You have a basketball trophy in your room. The ball on the trophy has a diameter of 9 inches. What the volume of the ball?
    9·1 answer
  • If the 6th term of an A.P. is 46, find the sum of first 11 terms.​
    7·1 answer
  • Equation: y = 6x<br> When x = 8.<br> What is y?
    12·2 answers
  • The circumference of a circle is 18.84 inches. what is the circle's radius
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!