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balandron [24]
3 years ago
9

6 is greater than w, and 2 is less than w

Mathematics
1 answer:
nordsb [41]3 years ago
3 0
Just combine everything
6>w>2
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What is 1 38/40 simplified
sesenic [268]
Your answer will be 1 19/20

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3 years ago
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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
3 years ago
If 13m=156 then m=12
zheka24 [161]
Take 156, divide by 13 and the multiply by 12. It is 144
4 0
3 years ago
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The equation y=0.28x+3.74 can be used to predict the price of olive oil per quart,
AveGali [126]

Answer:

44.59 divided by 5.25= 8.49

Hope this helps!!

4 0
2 years ago
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What is the slope of the line that contains the points <br> (-1,2) and(3,3)
erastova [34]

Answer:

1/4

Step-by-step explanation:

slope = change in y-values / change in x-values

m = (3-2) / 3-(-1)

m = 1/4

7 0
2 years ago
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