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anastassius [24]
1 year ago
11

What would step 3 look like after you have added the two equations?

Mathematics
1 answer:
Elenna [48]1 year ago
8 0
\begin{gathered} 8x-10y=20 \\ -8x-6y=-4 \\ -16y=16 \end{gathered}

Adding the two equations will be adding similar terms to both equations. That is:

8x + (-8x) = 0

-10y + (-6y) = -16y

20 + (-4) = 16

Therefore, adding the two equations will look like -16y = 16. (Option 3)

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nika2105 [10]

Answer:

3.

Surface Area = <u>66.4 square centimeters</u>

Volume =<u> 31.52 cubic centimeters</u>

<u></u>

4.

Surface Area = <u>113.1 square centimeters</u>

Volume = <u>113.1 cubic centimeters</u>

Step-by-step explanation:

3.

Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height

Where base is 4 and height is 6.3

Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4

And area of square which is base^2 = 4 ^ 2 = 16

<u>Surface Area = 50.4 + 16 = 66.4 square centimeters</u>

<u></u>

Volume of Pyramid is 1/3 * area of base * height

To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.

Now we can use pythagorean theorem to find height:

height ^ 2 + 2 ^ 2 = 6.3 ^ 2

height^2 + 4 = 39.69

height^2 = 39.69 - 4

height^2 = 35.69

height = 5.97

Now, <u>Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters</u>

<u></u>

4.

Surface area of sphere is given by:

Surface Area of Sphere = 4\pi r^2

radius, r, is given as 3, so

<u>Surface Area of Sphere = 4\pi(3)^2=113.1 square centimeter</u>

<u></u>

Volume of Sphere is given by  \frac{4}{3}\pi r^3

We know radius is 3, so

<u>Volume of Sphere = \frac{4}{3}\pi (3)^3= 113.1 cubic centimeters</u>

<u></u>

*they are the same

4 0
3 years ago
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