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
Trava [24]
2 years ago
8

A triangle is placed in a semicircle with a radius of 2 yd, as shown below. Find the area of the shaded region. Use the value 3.

14 for pie, and do not round your answer. Be sure to include the correct unit in your answer.
Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Answer:

A_s=2.28yd^2

Step-by-step explanation:

From the question we are told that:

Radius r=2yd

Pie \pi=3.14

Generally the equation for Area of the shaded part (A_s) is mathematically given by

A_s=Area\ of\ semi-circle(A_c)-Area\ of\ triangle(A_t)

Generally the equation for Area of semi-circle is mathematically given by

 A_c=\frac{1}{2}\pi r^2

 A_c=\frac{1}{2}*(3.14) (2)^2

A_c=6.28yd^2

Generally the equation for Area of triangle is mathematically given by

 A_t=\frac{1}{2} base*height

 A_t=\frac{1}{2} (2+2)*2

 A_t=4yd^2

Therefore Area of the shaded part (A_s)

 A_s=A_c-A_t

 A_s=6.28yd^2-4yd^2

 A_s=2.28yd^2

You might be interested in
Given the diagram below what is tan 60?
Contact [7]

Answer:

A) √3

Step-by-step explanation:

The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.

So, we have to find them.

The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.

That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.

Dividing those two gives us (2√3)/2, which can be simplified to √3.

3 0
3 years ago
Read 2 more answers
Help with these questions!! I need help! I will mark brainliest!!
g100num [7]

Answer: I believe it's 85° i have no explanation and am sorry if it's wrong x

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help ASAP it's due in a minute
grigory [225]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65
Verizon [17]
A) 0.9803; 0.4803
B) 32

We calculate the z-score for this problem by using the formula:

z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}

Using our formula, we have:

z=\frac{3.00-2.65}{\frac{0.85}{\sqrt{25}}}=2.06

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.

To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.

To find B, we first find the z-score for this.  Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33.  We then set up our equation as

2.33=\frac{3.00-2.65}{\frac{0.85}{\sqrt{n}}}=\frac{0.35}{\frac{0.85}{\sqrt{n}}}
\\
\\2.33=0.35\div \frac{0.85}{\sqrt{n}}=0.35\times \frac{\sqrt{n}}{0.85}

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n

Divide both sides by 0.35:
1.9805/0.35 = √n

Square both sides:
(1.9805/0.35)² = n
32 ≈ n
8 0
3 years ago
When graph in the xy plane, what is the y-coordinate of the vertex of the parabola with equation = −2( − 1)( + 5)
ad-work [718]
The answer is 10 have a great day
5 0
3 years ago
Other questions:
  • please help me answer! Let f(x)=x^2+3 and g(x)=3x+7 find ( g o f)(7); (g o f) (7)=; simplified answer is? I am not getting it pl
    13·1 answer
  • The Art Club decided to sell t-shirts in order to pay for their field trip to a nearby museum. They started with 460 t-shirts an
    9·1 answer
  • 4y = 3x - 2. Find the x and y intercepts of the line
    9·1 answer
  • Expand and simplify this <br>can you help  <br>(2x²−3x+4) ( x²+5x−7) 
    6·1 answer
  • In the accompanying diagram, ABCD is a
    6·1 answer
  • Which of the following values are solutions to the inequality x-7&lt; 5?x−7&lt;5?
    5·2 answers
  • Can someone help me with this math homework please!
    13·1 answer
  • HELP ASAP<br> Simplify (xy3z,4)4 <br> A. xy3z16<br> B. xy3z8<br> C. x4y12z16<br> D. x5y7z8
    13·1 answer
  • C. How long is 10% of a 24-hour day?​
    13·2 answers
  • What is the value of 7, 488 / 416
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!