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OlgaM077 [116]
3 years ago
12

Which figure shows a reflection of pre-image DEFG over the x-axis?

Mathematics
1 answer:
Sergio [31]3 years ago
3 0
The image that shows the reflection of DFEG over the x-axis is the FIRST option. The x-axis is the mirror line. The distance from the mirror line to the reflected shape equals to the distance from the original image to the mirror line.
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Can anyone explain how to find surface area? BRAINLIEST FOR BEST EXPLAINTION!
Wittaler [7]
Surface Area of a Cube = 6 a 2

(a is the length of the side of each edge of the cube)

In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.



Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
(a, b, and c are the lengths of the 3 sides)

In words, the surface area of a rectangular prism is the area of the six rectangles that cover it. But we don't have to figure out all six because we know that the top and bottom are the same, the front and back are the same, and the left and right sides are the same.

The area of the top and bottom (side lengths a and c) = a*c. Since there are two of them, you get 2ac. The front and back have side lengths of b and c. The area of one of them is b*c, and there are two of them, so the surface area of those two is 2bc. The left and right side have side lengths of a and b, so the surface area of one of them is a*b. Again, there are two of them, so their combined surface area is 2ab.


Surface Area of Any Prism

(b is the shape of the ends)

Surface Area = Lateral area + Area of two ends

(Lateral area) = (perimeter of shape b) * L

Surface Area = (perimeter of shape b) * L+ 2*(Area of shape b)


Surface Area of a Sphere = 4 pi r 2

(r is radius of circle)


Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h

(h is the height of the cylinder, r is the radius of the top)

Surface Area = Areas of top and bottom +Area of the side

Surface Area = 2(Area of top) + (perimeter of top)* height

Surface Area = 2(pi r 2) + (2 pi r)* h

In words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps around the middle.

You can find the area of the top (or the bottom). That's the formula for area of a circle (pi r2). Since there is both a top and a bottom, that gets multiplied by two.

The side is like the label of the can. If you peel it off and lay it flat it will be a rectangle. The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h.

Add those two parts together and you have the formula for the surface area of a cylinder.

Surface Area = 2(pi r 2) + (2 pi r)* h


6 0
3 years ago
7. Triangles CDE and RST are similar triangles. What is
andreyandreev [35.5K]

Answer:

CD = 25 ft

Step-by-step explanation:

\triangle CDE \sim \triangle RST

\therefore \frac{CD}{20}=\frac{40}{32}

(Corresponding sides of similar triangles are in proportion)

\therefore \frac{CD}{20}=\frac{5}{4}

\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}

\therefore CD = 5\times 5

\therefore CD = 25\: ft

6 0
3 years ago
Read 2 more answers
a landscaping company delivers soul and bags to its customers they deliver 4,000 pounds of soil if each bag holds 16 pounds of s
Murljashka [212]

Answer:

250 bags

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve for X! Please help
WARRIOR [948]

The two given angles are vertical angles which mean they are the same:

9x + 72 = 4x + 112

Subtract 72 from bot sides:

9x = 4x + 40

Subtract 4x from both sides:

5x = 40

Divide both sides by 5:

X = 8

4 0
3 years ago
A jar contains 1,200 M&M's and everyday your family eats 1/5th of the candies. After how many days will there be 314 M&M
mrs_skeptik [129]
The equation is 314 = 1,200 - 240x

1,200 is the number of M&M's it starts with
The problem said the family eats 1/5th of the candy every day
1/5 of 1,200 is 240
It is a -240 because the amount of m&m's is getting fewer each day
The x stands for the number of days

Sorry but I'm not sure if I could answer your problem exactly
The answer is 3.69 days
Because there isn't an exact day that there would exactly 314 M&M's left

7 0
3 years ago
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