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2 years ago

Triangle 1 is transformed as shown in the diagram, resulting in triangle 3. Describe the transformations.

Mathematics

2 answers:

beks73 [17]2 years ago

6 0

Answer:

D) translation, then reflection

Step-by-step explanation:

First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.

So, the correct answer is - translation, then reflection

In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.

Leokris [45]2 years ago

6 0

Triangle 1 - 2 shows a translation. A translation is when the triangle doesn't change shape, rotation, or size. It just slides. The 2- 3 shows a mirror image, which would be a reflection. Therefore, your answer is D.

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(2 − 4) − (3 + 5) + ( − 6) − (5 + 7)

Flauer [41]

Answer:

It is - 28

Step-by-step explanation:

8 0

2 years ago

Marika solved the equation (6x + 15)2 + 24 = 0. Her work is below. 1. (6x + 15)2 = –24 2. StartRoot (6 + 15) squared EndRoot = S

malfutka [58]

Answer:

There are no real solutions to this equation because the square root of a negative number is not real. So answer B

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

3 0

2 years ago

M= -3 b= -1 slope intercept form

Aliun [14]

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

5 0

2 years ago

The scale of a map is 1cm:12 km. find the actual distance for 12cm

anzhelika [568]

This is simply a question about ratios. This ratio means that for every 1 cm on the map, there are 12 km in actuality. You can set this problem up in fractions:

1 cm 12 cm
-------- = ----------
12 km x

To solve for x, we cross-multiply, for the moment ignoring units. Remember, your answer will be in km.

1*x=12*12

x=144

If x=144, then for 12 cm, there are 144 km.

6 0

3 years ago