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
Jlenok [28]
3 years ago
14

Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

<u>ANSWER</u>

B=63\degree


<u>EXPLANATION</u>

We want to solve the trigonometric equation;


tan^2(B)=4, where 0\degree \le B \le 90\degree.


Taking square root of both sides gives,


tan(B)=\pm \sqrt{4}


tan(B)=\pm 2


Since B is in the first quadrant, we proceed with;


tan(B)=2, because the tangent ratio is positive in the first quadrant.


\Rightarrow B =arctan(2)


\Rightarrow B =63.43\degree.


Correct to the nearest degree,


B =63\degree




You might be interested in
Ben the camel drinks tea (so classy!). He drinks 405 liters of tea every 2 days. How many liters of tea does Ben drink every 6 d
Hoochie [10]
6/2=3
405*3= 1,215
hope this helps
7 0
2 years ago
Help me please and thank you
Scorpion4ik [409]

Answer:

x = 20

y = 10

m∡8 = 110°

Step-by-step explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8    (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°

8 0
2 years ago
PLEASE HELP Will mark brainliest
ss7ja [257]

For the first one, the range is the largest number minus the smallest number. The largest number in this case is 11 and the smallest is 4. 11 - 4 = 7 so the maximum range is 7 inches.

For the second one, the IQR is Q3 - Q1. This means 30 - 20 = IQR and 30 - 20 is 10 books.

And the last one asks for dinner customers, and there are 54 total. 28 of them chose cheesecake as their favorite dessert. This means that the amount of dinner customers that chose cheesecake as their favorite is 28/54 or 0.5185, whihc is 51.85%

Hope this helps!!

6 0
3 years ago
What is the measure of angle J in the triangle? Drawing is not to scale
DaniilM [7]
39 degrees is the answer
3 0
3 years ago
What is the probability that you flip 4 coins and at least 2 land on tails?
Marianna [84]
50%. Each coin has a 50% chance on landing on head and a 50% chance of landont on tails.
3 0
3 years ago
Other questions:
  • A rectangle container that has a length of 30 cm,a width of 20 cm,and a height of 24 cm is filled with water to a depth of 15 cm
    12·2 answers
  • The surface area is the amount a solid can hold.<br><br> True<br> False
    7·2 answers
  • Find the sum of the geometric series 3+12+48+...+12,288
    5·2 answers
  • NEEEEEEED HEEEEEEEELP !!!!!!!!!!!!!!!!! 13 POINTSSSSSS
    10·2 answers
  • A box of 3 picture hangers sells for $2.22. What is the unit rate
    11·1 answer
  • What is the length of CD? In this diagram, AABC ~ AEDC.
    5·1 answer
  • Help<br><br><br><br><br> Ftmtrntnnrnrnrnrrrn
    5·1 answer
  • Evaluate d-17 when d=30​
    9·2 answers
  • Hello 100 point Question with Explaining please
    6·2 answers
  • How many times as great is the diameter of a pinhead as the diameter of a cloud-water droplet
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!