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Trava [24]
3 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]3 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

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Abigail made a quilt that has the area of 4,800 sq. inches. The length of the quilt is 1 1/3 times the width of the quilt. What
Aliun [14]
For this case we model the problem as a rectangle.
 The area of the rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 4800 = (w) * ((1 1/3) * w)
 We rewrite:
 w ^ 2 = 4800 / (1 1/3)
 w ^ 2 = 3600
 w = root (3600)
 w = 60 in
 The long will be then:
 l = (1 1/3) * w
 l = (1 1/3) * (60)
 l = 80 in
 Answer:
 
the dimensions of the quilt are:
 
w = 60 in
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8 0
3 years ago
3. Which of the following is the surface area of this right triangular prism? (
Ostrovityanka [42]
160in 5x8=40x4=160 is the answer to ur question
8 0
2 years ago
Take away 2 from 7 times h
yan [13]

Answer:7h-2

Step-by-step explanation:

take away 2 indicates -2

7 times h indicates 7h

then you have a few ways to write this out either: -2+7h or 7h-2

both are correct!

3 0
3 years ago
Please help, I don’t understand it so explain don’t just put the answer if u can lols
ludmilkaskok [199]

Answer

27 days

Step-by-step explanation:

father= 45 days

oldest son + father=27 days

youngest + father= 36 days

45-27=18

45-36=9

18+9=27

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7 0
4 years ago
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Multiply.Express your answer in standard form.(3 points)(x² -4x + 3)(-3x²+ 7x –1)
bija089 [108]

Answer:

-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3

Step-by-step explanation:

1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²

2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x

3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3

4) combine all the answers together into one equation:

-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3

5) combine like terms:

7x³ + 12x³ = 19x³

-x² + -28x² + -9x² = -38x²

4x + 21x = 25x

6) combine answers together into one equation:

-3x^{4} + 19x³ - 38x² + 25x - 3

3 0
3 years ago
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