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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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X÷ 5+1 = 11<br> X =<br> What does X =
Serjik [45]

Answer:

x = 2

Step-by-step explanation:

x/5 + 1 = 11
    x/5 = 10
        x = 50

7 0
2 years ago
Express sin Q as a fraction in simplest terms.​
Lesechka [4]

Answer:

Solution given

Sin Q=opposite/hypotenuse=28/29

<u>28/29</u><u> </u><u>is</u><u>. </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u><u />

3 0
3 years ago
Mrs rodriguez needs you to calculate the AREA of a circular pool with radius of 5 meters to help her figure out if it will fit i
Mila [183]
The formula for an area of a circle is A= pi(r)^2
so if you plug in 5 to r (because it’s the radius) you should get A= 78.5
3 0
4 years ago
X+y+z=1
andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
4 years ago
Isaiah has $7.15 in Dimes and Nickels. He has a total of 91 coins. How many of each coin does he have? Group of answer choices d
yarga [219]

Answer:

Dimes = x = 52

Nickels = y = 39

Step-by-step explanation:

Let

Dimes = x

Nickels = y

x + y = 91 (1)

0.10x + 0.05y = 7.15 (2)

From (1)

x = 91 - y

Substitute x = 91 - y into (2)

0.10x + 0.05y = 7.15

0.10(91 - y) + 0.05y = 7.15

9.10 - 0.10y + 0.05y = 7.15

- 0.10y + 0.05y = 7.15 - 9.10

-0.05y = -1.95

y = -1.95 / 0.05

= 39

Substitute y = 39 into (1)

x + y = 91

x + 39 = 91

x = 91 - 39

x = 52

Dimes = x = 52

Nickels = y = 39

7 0
3 years ago
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