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seraphim [82]
2 years ago
8

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

Mathematics
2 answers:
mojhsa [17]2 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]2 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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Answer:

∠A=65º

Step-by-step explanation:

  • A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
  • The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
  • Remove parenthesis, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 180, -2x=-50
  • Divide by -2, so x=25

Now:

  • ∠CAB=(25+40)º=65º
  • ∠ABC=[180-6(25)]º=30º
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5 0
2 years ago
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do no
Tatiana [17]

Answer:

Option D.

Step-by-step explanation:

Not everyone who plays band is going to be in sports or vise versa

Hope this helped!

6 0
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ad-work [718]

Step-by-step explanation:

This time round, use SOH method (Sin angle = Opposite/Hypotenuse)

given Opposite = 7

Hypotenuse = 10

\sin(x)  =  \frac{opposite}{hypotenuse}  \\  \sin(x)  =  \frac{7}{10}  \\ x =  {sin}^{ - 1} ( \frac{7}{10} ) \\  = 44.4deg(nearest \: tenth)

4 0
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Given A(-2, 5) and B(13, -7), find the midpoint of AB.​
Dmitrij [34]

Answer:

The mid-point is (9,-9/2)

Step-by-step explanation:

You would use the mid-point formula for this

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if you plug that in it is (\frac{13-2}{2}, \frac{-7+5}{2})

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1 year ago
What is the area of a square with a side of 8x^7 y^3
sukhopar [10]
Area of a square with side s is \sf{s^2}

In your question, the side or s is: \sf{8x^7y^3}

And so the area of a square with that side length would be:

\sf{(8x^7y^3)^2}

And using this formula: \sf{(a^b)^c =a^{b\times c}}

We get that the area is:

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And simplifying that we get the final answer as:

\huge{\boxed{\bf{Area=64x^{14}y^{6}}}}
4 0
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