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serg [7]
3 years ago
15

Square ABCD has side length a. Half circles with

Mathematics
1 answer:
Inga [223]3 years ago
7 0

The area of the shaded region is 0.215a^2

<h2>Area of composite objects</h2>

The area of the shaded region is expressed according to the formula:

  • A = A_s - A_c

Get the area of the square As

As = a²

A_c = \pi (0.5a)^2\\&#10;A_c = 0.785a^2

Take the difference in the areas

Area of the shaded part = a^2-0.785a^2\\&#10;

Area of the shaded part = 0.215a^2

Hence the area of the shaded region is 0.215a^2

Learn more on area of composite objects here: brainly.com/question/22716761

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Find volume with full working out pls asap
ZanzabumX [31]

Answer:

868 m³

Step-by-step explanation:

Volume = Difference of cones

V = ⅓(pi×r²h)

Volume of cone with base Circle O:

h = 8.2+8.2 = 16.4 m

V1 = ⅓(pi×7.6²×16.4)

V1 = 991.97

Volume of cone with base Circle A:

V2 = ⅓(pi×3.8²× 8.2)

V2 = 124 m³

Volume = V1 - V2

991.97 - 124 = 868 m³

6 0
3 years ago
ebony wants to buy a dvd player and dvds the equation relates the total cost for dvds and dvd player and N dvds is p=20n+200 wha
kupik [55]

____________________________________________________

Answer:

It represents the cost of the DVD player.

____________________________________________________

Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what  this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

____________________________________________________

3 0
3 years ago
Solve the system of nonlinear equations: <br><br> 4x - y = 4<br> x^2 - y = -1
rjkz [21]
(x1, y1) = (3,8)
(x2, y2) = (1,0)
6 0
3 years ago
Write an equation (any form) for the quadratic graphed below. Y=
Licemer1 [7]

Answer:

y = -2x^2 - 4x - 1

Step-by-step explanation:

We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).

Let's solve

ax^2 + bx + c = y

a(-2)^2 + b(-2) + c = -1

4a - 2b + c = -1

a(-1)^2 + b(-1) + c = 1

a - b + c = 1

a0^2 + b0 + c = -1

c = -1

we got c = -1 so we input it into the other 2

4a - 2b - 1 = -1

4a - 2b = 0

2a - b = 0

2a = b

a - b - 1 = 1

a - b = 2

a = b + 2

Let's input b = 2a

a = 2a + 2

-a = 2

a = -2

b = 2a = 2*(-2) = -4

c = -1

y = -2x^2 - 4x - 1

4 0
3 years ago
The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are
mamaluj [8]

Answer:

I think the answer is c I guess

5 0
3 years ago
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