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ira [324]
3 years ago
10

Triangle XYZ at X(–6,1), Y(4,0), Z(1,3) is reflected across the y-axis. What are the new coordinates of the triangle?

Mathematics
2 answers:
Anna11 [10]3 years ago
4 0

Answer:

(6,1) (-4,0) (-1,3)

Step-by-step explanation:

Over [174]3 years ago
3 0

Answer:

X(6, 1), Y(-4, 0), Z(-1, 3)

Step-by-step explanation:

When reflecting an image across the y-axis, (i.e, across a vertical line at the position x = 0), All you need to do is negate the x coordinate of each point, so:

(-6, 1) becomes (6, 1)

(4, 0) becomes (-4, 0)

(1, 3) becomes (-1, 3)

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3 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

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The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

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D

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