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
seraphim [82]
3 years ago
15

A triangle is placed in a semicircle with a radius of 6 yd, as shown below. Find the area of the shaded region.

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0

Answer: The area of the shaded region is 20.52 yd^2

Step-by-step explanation: The given figure shows a triangle inserted into a semi circle. The base of the triangle runs from one end of the semi circle to the other, which means the base of the triangle measures the same as the diameter. If the radius of the circle is 6, then the diameter equals 12 yds, (that is radius times 2).

The area of the triangle is given as;

1/2 b x h (that is)

1/2 base x height

Where the base is 12 and the height is 6. The area equals

Area = 1/2 (12) x 6

Area = 6 x 6

Area = 36 yd^2

Also to compute the area of the semi circle, we shall calculate the area of a circle and divide by 2.

Area of a circle is;

Area = pi x R^2

Area = 3.14 x 6^2

Area = 3.14 x 36

Area = 113.04

Area of semi circle = 113.04/2

Area of semi circle = 56.52 yd^2

At this point, subtracting the area of the triangle from the area of the semi circle leaves us with the area of the shaded region. Hence

Area of shaded region = 56.52 - 36

Area of shaded region = 20.52 yd^2

You might be interested in
URGENT
Zepler [3.9K]

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.
Inessa05 [86]

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

  • A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

  • AB = a - 0 = a, CD = a
  • AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

  • x = a, y = b

<u>Now the diagonals:</u>

  • AC = √(a-0)² + (b-0)² = √a²+b²
  • BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0
3 years ago
Read 2 more answers
chris runs 2.3 miles every day of the week, except sunday. on sunday he only runs 2 miles. how many miles will he run in 2 weeks
Ludmilka [50]

Answer:

He will run 31.6 miles in two weeks.

Step-by-step explanation:

6 days a week = 2.3 miles

6 days · 2 weeks = 12 days total running 2.3 miles

1 day a week = 2 miles

1 day · 2 weeks = 2 days total running 2 miles

(12 · 2.3) + (2 · 2)

27.6 + 4

31.6 miles

7 0
3 years ago
Which of the following representations are functions?
allsm [11]

Answer: A and B only

Step-by-step explanation:

In function, for one value of x there must be only one value of y.

4 0
3 years ago
(NECESITO PROCEDIMIENTO)<br> 9x + 8 = 7x + 6 <br><br> X= -1<br><br> X= 1/3<br><br> X= 1
Aloiza [94]

Answer:

x=-1

Step-by-step explanation:

9x+8=7x+6

Keep the variables in the left side & rest in the left side:

9x-7x=6-8

2x=-2

x=-2/2

x=-1

7 0
3 years ago
Other questions:
  • Which term describes the point where three medians of a triangle intersect
    14·2 answers
  • Solve for p.<br><br> 2(p + 1) = 24
    15·2 answers
  • Write two inequalities that would have the solution set as graphed below.
    7·1 answer
  • How do i solve (15÷5)x3+(18-7)= ?
    13·1 answer
  • there is a rectangle abcd.the length of the rectangle is increased by 10%.the width of the rectangle is increased by 5%,what is
    9·2 answers
  • An empty box is shaped like a rectangular prism. The box has a base area of `9/10` square foot and a height of `1/3` foot. How m
    12·1 answer
  • Determine the value of<br> x isosceles triangle?
    5·1 answer
  • Please answer quick please
    10·1 answer
  • yeah Koke prepaid debit card with $20 on it for her first purchase with the car she bought some Paul Ruben how to craft store th
    15·1 answer
  • 6. they were 300 people at a football match and 35% were adults, the rest were children a. what percentage were children​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!