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
irga5000 [103]
3 years ago
15

PLZ HELP ME OUT WITH THIS!!!!!!!!

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3

You might be interested in
What are the solutions to f(x) = g(x)?
TiliK225 [7]

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

5 0
3 years ago
Find the distance between the points (2,4) and (5,0). (PLEASE HELP!)
Inessa05 [86]

Answer:

5

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, 0)

d = \sqrt{(5-2)^2+(0-4)^2}

  = \sqrt{3^2+(-4)^2}

  = \sqrt{9+16} = \sqrt{25} = 5

5 0
3 years ago
Read 2 more answers
A. F(x) < 0 on the interval x < 0.
KiRa [710]

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.


A. F(x) < 0 on the interval x < 0.     TRUE

B. F (x) > 0 on the interval x <0.      FALSE

C. F (x) < 0 on the interval 0 < x < 1.      TRUE

D. F (x) > 0 on the interval 0 < x < 1.      FALSE

E. F (x) < 0 on the interval 1 < x < 3.     FALSE

F. F (x) > 0 on the interval 1 < x < 3.      TRUE

G. F (x) < 0 on the interval x > 3.     TRUE

H. F (x) > 0 on the interval x > 3.      FALSE    

3 0
3 years ago
What would be the orientation of the figure out after a translation of eight units to the right and three units up
BaLLatris [955]
Whats the starting point
8 0
3 years ago
How to put a fraction on lowest terms?
djverab [1.8K]

Answer: You simplify it.

Step-by-step explanation: You have to take the numerator and the denominator, find the greatest common factor, and divide it until it is at its simplest form.

Hope that helps

7 0
3 years ago
Other questions:
  • An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. if 370 feet of antiqu
    11·2 answers
  • Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How
    12·2 answers
  • Use the above graph to answer the following question. Which line indicates the demand curve? (1 point)
    8·1 answer
  • A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the c
    6·2 answers
  • Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
    8·1 answer
  • In ΔGHI, g = 790 inches, h = 200 inches and i=820 inches. Find the measure of ∠I to the nearest degree
    12·1 answer
  • I need this problem solve quick
    14·1 answer
  • PLEASE I don't understand how to do this, 50 Points for anyone who solves it!
    10·1 answer
  • The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following
    5·1 answer
  • (3x+15) (2x)<br><br> Help pls
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!