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
joja [24]
3 years ago
12

What is the value of x in simplest radical form?

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

D. x = \frac{5*\sqrt{2}}{2}

Step-by-step explanation:

Reference angle = 45°

Length of Opposite side = x

Hypotenuse length = 5

Applying trigonometric ratio, we have:

sin(45) = \frac{x}{5}

Multiply both sides by 5

5*sin(45) = \frac{x}{5}*5

5*sin(45) = x

5*\frac{1}{\sqrt{2}} = x (sin 45 = 1/√2)

\frac{5}{\sqrt{2}} = x

Rationalize

\frac{5*\sqrt{2}}{\sqrt{2}*\sqrt{2}} = x

x = \frac{5*\sqrt{2}}{2}

You might be interested in
Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. Kami pays $30 for 6 yards of landscaping fabri
vlabodo [156]

Answer: the price of 1 yard of chicken wire is $2

Step-by-step explanation:

Let x represent the cost of one yard of landscaping fabric.

Let y represent the cost of one yard of chicken wire.

Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that

3x + 6y = 24 - - - - - - - - - - 1

Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that

6x + 3y = 30 - - - - - - - - -2

Multiplying equation 1 by 6 and equation 2 by 3, it becomes

18x + 36y = 144

18x + 9y = 90

Subtracting

27y = 54

y = 54/27 = 2

Substituting y = 2 into equation 1, it becomes

3x + 6×2 = 24

3x = 24 - 12 = 12

x = 12/3 = 4

4 0
3 years ago
Read 2 more answers
The outer layer of the Earth is called the
aksik [14]
Crust is the answer  
5 0
3 years ago
Square inch for 30 stones
Anna71 [15]

1 stone = 20 square inches

1 stone * 30 = 20 square inches * 30

30 stones = 600 square inches

8 0
3 years ago
PLEASE HELP AS SOON AS YOU CAN!!
Tasya [4]
The Answer would be -6(3x-5).
5 0
3 years ago
At the movie theatre, child admission is $5.20 and adult admission is $8.50. On Sunday, three times as many adult tickets as chi
Gemiola [76]

Answer:

sorry

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • In the Department of Natural Sciences, 14 faculty members have a PhD, and 30 faculty
    6·1 answer
  • What is the volume of a pyramid with a base of 22 and a height of 24
    10·1 answer
  • Can ya help me with this question
    7·1 answer
  • If light travels 6.71x10^8 miles in one hour. how many miles will it travel in 1 minute?
    11·1 answer
  • Which is the value in this equation 4x+5=3x+4
    11·1 answer
  • A set of input and output values, such that each input has exactly one output is called a____
    9·2 answers
  • Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
    9·1 answer
  • What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
    5·2 answers
  • On the number line below. P number what is the value of the opposite of that number.​
    14·1 answer
  • Helpppp pllzzzz<br> I need help w this asap thankkkk in advance
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!