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
Yanka [14]
3 years ago
11

I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

ded region. Show all work for full credit. picture shown!

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = \frac{\theta}{360}(\pi r^{2})

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = \frac{60}{360}(\pi) (10^{2})

                                       = 52.36 in²

Area of equilateral triangle BCD = \frac{\sqrt{3} }{4}(\text{Side})^2

                                                      = \frac{\sqrt{3} }{4}(10)^2

                                                      = 25\sqrt{3} in²

                                                      = 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

                                                             = 9.06 in²

Area of sector CAD = \frac{90}{360}(\pi)(\sqrt{50})^2

                                 = 39.27 in²

Area of right triangle CAD = \frac{1}{2}(\text{Base})(\text{Height})

                                            = \frac{1}{2}(\text{AC})(\text{AD})

                                            = \frac{1}{2}(\sqrt{50})(\sqrt{50})

                                            = 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

                                                                         = 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

                                                                = 23.33 in²

You might be interested in
I don’t get this, can you guys help out?
Dovator [93]

Answer:

9 ÷ 3/2 = 6

21 ÷ 7/3 = 9

12/7 ÷ 2/7 = 6

4 2/3 ÷ 7/9 = 6

72/7 ÷ 8/7 = 9

4 1/2 ÷ 1/2 = 9

4 0
3 years ago
Read 2 more answers
Help <br> ! Find x &amp; y <br> Leave answers in simplest form
dimaraw [331]
To all of them ?what brainlies
5 0
3 years ago
Please help!! &lt;3
dybincka [34]

Answer: Y- 3

Step-by-step explanation:

Point A prime is 3 units below Point A, as goes for each of the other corresponding point pairs. ( B and B prime, C and C prime)

6 0
3 years ago
Simplify this expression using the distributive property.
Kruka [31]

the answer is c: .... 72+8w

6 0
3 years ago
Read 2 more answers
Can someone help me please
Darya [45]

Answer:

a^7/b^6

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Please help!!
    7·2 answers
  • What is 582 pi decided by 5
    7·1 answer
  • A brine solution of salt flows at a constant rate of 8L/min into a large tank that initially held 100L of brine solution in whic
    12·1 answer
  • 25% in it simplest form
    5·2 answers
  • Find the diagonal of a square whose sides are of the given measure.<br><br> Given = 3√2
    6·1 answer
  • How do I find the length of the legs of an isosceles right triangle if i only know the length of the hypotenuse?
    6·1 answer
  • Dan is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 10.2 ounces of almonds, and 13.3 ounces of ca
    13·1 answer
  • Find the slope by changing form Standard Form to Slope Intercept Form<br> 7x- 8y = -56
    11·2 answers
  • I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much mone
    8·1 answer
  • Someone help me with these 3 problems!!!! Due tomorrow!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!