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
nika2105 [10]
3 years ago
9

Find y. A. √22 B. 8 C. √42 D. 4

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

\Large \boxed{\mathrm{D. \ 4}}

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan θ = opp/adj

tan 30 = y/(4√3)

y = 4√3 tan 30

y = 4

You might be interested in
3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
CAN SOMEONE HELP ME WITH THIS QUESTION!!!
earnstyle [38]

Answer:

E

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

8 0
3 years ago
Hey I need help just leave answer thx
Illusion [34]

Answer:

x = 61

Step-by-step explanation:

The angle above the line n adjacent to 2x - 6 is (x + 3) alternate angle.

Adjacent angles are supplementary, thus

2x - 6 + x + 3 = 180, that is

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

4 0
3 years ago
What is the exsponet of 64/81 = 8/9
Mumz [18]
(8/9)^2 is 64/81. Exponent is 2. Hope this help
4 0
3 years ago
Harriet used the work below to determine the percent equivalent to One-eighth.
lbvjy [14]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help i have to give it in 12 minutes
    11·2 answers
  • What are 2 methods of used of collecting data?
    11·1 answer
  • In a harris poll of 500 human resource professionals, 150 said that body piercings and tattoos were big grooming red flags. use
    13·1 answer
  • Graph the image of rectangle STUV after a reflection across the line x = -2
    10·1 answer
  • A set W of strings of symbols is defined recursively by 1. a, b, and c belong to W. 2. If x belongs to W, so does a(x)c. Which o
    13·1 answer
  • Find the circumference of the circle
    5·2 answers
  • On Tuesday Lily spent 1/4 hour working on her science fair project.been work three times is mom on his science fair project is L
    7·1 answer
  • #14 Helppppp me plz this make no sense to me
    12·2 answers
  • Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.
    10·1 answer
  • IS this in relation to a function or not
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!