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
Flauer [41]
3 years ago
11

The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
8 0
The longer leg is the leg adjacent to the larger angle

so 60 

length of longer leg = 4 sin60 = 2sqrt(3) 

Veronika [31]3 years ago
7 0

Answer:

2\sqrt{3} units is the longer leg

Step-by-step explanation:

Definition: 30 -60 -90

In 30-60-90 triangle,

the length of the hypotenuse is twice the length of the shorter leg; and

the length of the longer leg is \sqrt{3} times the length of the shorter leg.

As per the statement:

The length of the hypotenuse of 30 -60 -90 triangle is 4

Length of hypotenuse = 4 units

then, by definition we have;

length of shorter leg = 2 units

then;

the length of the longer leg is \sqrt{3} times the length of the shorter leg.

⇒Length of longer leg = 2\sqrt{3} units

Therefore, the length of longer leg is, 2\sqrt{3} units

You might be interested in
2+3+7+34+7000+12242534
sashaice [31]

Answer:

The answer is 12249580

Step-by-step explanation:

add all the numbers:)

4 0
3 years ago
Read 2 more answers
Find the rectangular coordinates of the point (squareroot3, pi/6)
svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

 use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

∵ sin π/6 = 1/2

∴ y = √3 (1/2) = √3/2

* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

6 0
3 years ago
Add and simplify 9 / 16 + 1 /2 =
AysviL [449]
9/16=.5625 +1/2=1.0625
7 0
3 years ago
Read 2 more answers
SQ is an angle bisector find x and the perimeter of the triangle PRQ 32,40,2x+3, 3x-1
Ket [755]
Yes he and his family have a good day tomorrow and I will let you the mason jar of the money he is going we I am so sorry I just need points for the questions
8 0
2 years ago
NEED HELP ASAP
ankoles [38]

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

<h2>x=5</h2><h2 />

3 0
2 years ago
Other questions:
  • B) Simplify the expression (V7 + 3) square 2<br>​
    11·2 answers
  • Rolling a Red and Yellow Dice
    6·1 answer
  • Select the component form of the vector shown.
    7·2 answers
  • In act 2 scene 1 who is the first person mama tells she bought a house
    15·2 answers
  • A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Find the percent of data within each in
    9·1 answer
  • Please answer ASAP..........
    5·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Please help <br> WILL MARK BRAINLIST
    14·2 answers
  • Factorize the given expression:<br> 27x3 - 63x2 + 49x – 343 27
    11·1 answer
  • The sum of four consecutive numbers is 34. Which is the largest of these numbers?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!