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
klio [65]
3 years ago
7

Solve for x. Round your answer to 2 decimal places.

Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Here, two sides (x and 18) and the included angle (53 degrees) are given. The trig function that relates these 3 quantities is the sine:

sin 53 degrees = adj / hyp, or

sin 53 degrees = 18 / x.

Solving this equation for x, we get    x = 18 / (sin 53 degrees), or

x = 22.53 (answer)

enot [183]3 years ago
6 0

Answer:

x = 30 units .

Step-by-step explanation:

Given : A right triangle with angle 53° and hypotenuse x and adjacent side 18.

To find : Solve for x .

Solution : We have given that a triangle

Angle  =   53°

Hypotenuse = x.

Adjacent side = 18.

By the trigonometric cosine ratio

cos ( theta) = \frac{adjacent\ side}{hypotenuse}.

cos (53) = \frac{18}{hypotenuse}.

0.6 = \frac{18}{hypotenuse}.

On multiplying both sides by hypotenuse and dividing by 0.6

Hypotenuse =   \frac{18}{0.6}.

Hypotenuse = 30 units.

Therefore,  x = 30 units .

You might be interested in
Solve each of the following equations. <br><br> |3x−4(x+1)|=2
kramer

Answer:

-2, -6

Step-by-step explanation:

|3x−4(x+1)|=2

|3x - 4x - 4| = 2

|-x - 4| = 2

-x - 4 = 2

-x = 6

x = -6

-x - 4 = -2

-x = 2

x = -2

7 0
3 years ago
What's 1.3 repeating as a fraction
Bogdan [553]
 <span>1.333333333333333.... = 4/3. 

To find this: 

x = 1.3333333333333... 

Multiply by 10: 

10x = 13.3333333333... 

Subtract x = 1.3333333333333333....: 

9x = 12. 

Divide by 9: 

x = 12/9 = 4/3.</span>
7 0
3 years ago
What is the value of a?
ohaa [14]

Answer:

15

Step-by-step explanation:

a²+20²=25²

a²=625-400

a²=225

a=15

6 0
3 years ago
Read 2 more answers
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
What do I need to subtract from to get angle two?
ololo11 [35]
Step 1) Add up the three given angles: 125+109+83 = 317

Step 2) Subtract the result (found in step one) from 360
360 - 317 = 43

The reason for the 360 is because for any four-sided polygon, the angles always add up to 360 degrees. 

The answer is 43

3 0
3 years ago
Other questions:
  • At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. Genevieve bought 5 pounds of tomatoes
    13·2 answers
  • An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
    5·2 answers
  • 7⁄8 = ?⁄48 A. 1 B. 42 C. 13 D. 6
    8·2 answers
  • An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance
    13·1 answer
  • Help !!! I’ve been stuck for 30 minutes
    8·2 answers
  • What is the equation of the line perpendicular to 3x+4y=12 and containing the point (6,-2)
    9·1 answer
  • Which of the following functions have a vertical asymptote for values of Ø such that cos Ø = 1?Select all that apply.
    6·1 answer
  • Cecilia correctly solved this inequality.
    14·2 answers
  • Robi bought a toy car for $x. He sold it at a loss of 10%. Find the expression
    8·1 answer
  • Please tell me how to do these questions, I'm confused.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!