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
Help please.<br> A) 60<br> B)120<br> C)140
kvasek [131]
Hi there,

The answer to your question is:

B. 120

Hope this helped,

Sincerely,

Dus4nR
8 0
3 years ago
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned
Pavel [41]

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

7 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?​
user100 [1]

Answer:

it would be 6

Step-by-step explanation:

8 0
3 years ago
A+5=5a+5 how do i do this problem
Natali5045456 [20]

Answer:

0 = a

Step-by-step explanation:

The first thing to do is subtract 5 from both sides.

a + 5 = 5a + 5

   - 5          - 5      

The 5's cancel out.

Now we have a + 0 = 5a

You next subtract the a from both sides.

a + 0 = 5a

-a          -a

0 = 4a

Lastly would to get a by itself so then we divide 4 from both sides

0 = 4a

_     _  

4     4

0 = a

5 0
3 years ago
Slope -3/2 passes through (-4,7)
Kryger [21]

Answer:

5/−1

Step-by-step explanation:

Slope =y2−y1x2−x1

7−2−4−−3

5/−1

8 0
3 years ago
Other questions:
  • Karen raked 3/5 of the yard. Minni
    10·2 answers
  • A house was bought 20 years ago for $160,00. Due to inflation, its value had increased by 5% each year.
    14·1 answer
  • Round 25.789 to the nearest tenth
    10·2 answers
  • 15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines
    15·2 answers
  • Write 0.41 in fraction simplest form
    12·2 answers
  • No one ever answers my questions pls i need help
    14·1 answer
  • A rectangular garden must have a perimeter of 155 feet and an area of at least 1400 square feet. Describe the possible lengths o
    13·1 answer
  • Which function is represented by the graph below?
    8·1 answer
  • GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
    8·1 answer
  • Equation <br> 3/8 + 5/12 =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!