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Hatshy [7]
3 years ago
5

Find the area of this semi-circle with diameter 18 Give your answer rounded to 2 DP.

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0

Step-by-step explanation:

diameter(d): 18

radius(r): 18 ÷ 2 = 9

area of a semi-circle:

\frac{\pi {r}^{2}}{2}

=  \frac{\pi \times 9 \times 9}{2}  = 127.23

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Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
mrs_skeptik [129]

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
  • Front triangle = (6 x 4)/2 = 12
  • Back = (6 x 4)/2 = 12
  • Side = (6 x 4)/2 = 12
  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
5 0
2 years ago
Express the following in scientific notation:<br> 10,030,400,000
Stella [2.4K]

Answer:

1.00304 * 10^10

Step-by-step explanation:

The first one dark blue I think

6 0
3 years ago
If A and B represent integers, M+P = P+M is an example of which property?
Serggg [28]

Answer:

commutative propriety of addition

Step-by-step explanation:

M+P =P+M is an example of the commutative propriety of addition

when numbers or parentheses connected by addition or multiplication switch places (commute) we have commutative propriety of addition or multiplication

8 0
3 years ago
Read 2 more answers
Find the solution of this system of equations?<br><br> -8x-6y=60<br><br> 5x+6y=-69
zvonat [6]
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
7 0
3 years ago
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Rectangle w/area of 91 has dimensions of (x+2) and (2x+3). Solve for dimensions.
Leviafan [203]

Answer:

5unit

Step-by-step explanation: since area of rectangle = length*width

Here length is (x+2) and width is(2x+3)

(x+2)(2x+3)=91

On further solving

2x^2+75x-85=0

2x^2-10x+17x-85=0

2x(x-5)+17(x-5)=0

(2x+17)(x-5)=0

x=5unit

8 0
3 years ago
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