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seraphim [82]
3 years ago
8

3) A semicircle is attached to the side of a rectangle as shown.

Mathematics
2 answers:
mojhsa [17]3 years ago
5 0

Answer:

Option C 122.1\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of semicircle

Step 1

Find the area of the rectangle

The area of the rectangle is equal to

A=bh

we have

b=18\ cm

h=6\ cm

substitute

A=18*6=108\ cm^{2}

Step 2

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

we have

r=6/2=3\ m

substitute

A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}

Step 3

Find the area of the figure

108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}


m_a_m_a [10]3 years ago
3 0
Rectangle = 18 x 6 = 108
Circle:  3.14 x (3)^2 = 3.14 x 9 = 28.26
<span>semicircle: 28.26 / 2 = 14.13
</span>
108 + 14.13 = 122.13

answer
122.13 cm^2

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3 years ago
What is 3x+4y=16 for x
sergiy2304 [10]
3x + 4y = 16           Write original equation     
3x + 4y - 4y = -4y + 16          Subtract 4y from each side
3x = -4y +16                    Simplify
3x/3 = -4y/3 + 16/3      Divide each side by three
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4 0
3 years ago
Find all roots: x^3-7x^2-12x = 0
Pepsi [2]

Answer:

The roots are  0, 3 and 4.

Step-by-step explanation:

x^3-7x^2-12x = 0   Take out x:

x(x^2 - 7x - 12) = 0  Factor the expression in the brackets:

x(x - 3)(x - 4) = 0

x = 0 or x - 3 = 0 or x - 4 = 0, so

The roots are  0, 3 and 4.

5 0
3 years ago
(4x+3)(2x-5)<br><br> Help please 10 points
Yanka [14]

Answer:

Step-by-step explanation:

hello :

(4x+3)(2x-5)=0

4x+3=0 or 2x-5=0

x= -3/4 or x=5/2

5 0
3 years ago
Read 2 more answers
1) What is the solution of the given system?
m_a_m_a [10]

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2


Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

------------------

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5


2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23


Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128


Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115


Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

---------------------

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5





3 0
3 years ago
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