All categories

2 years ago

10. Which transformation will carry the rectangle shown

Mathematics

1 answer:

zubka84 [21]2 years ago

5 0

Answer:

D. A rotation 270º counterclockwise about the origin

Step-by-step explanation:

You might be interested in

Triangle 1 is a scale drawing of Triangle 2, as shown below.

Elan Coil [88]

You need to show us what the triangle is

4 0

2 years ago

Read 2 more answers

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

2 years ago

The diagram shows a right-angled triangle.

Ratling [72]

Where is the diagram?

4 0

2 years ago

What is 10 2/3 times 3?

svetlana [45]

That'd be 32 with no remainder.

5 0

3 years ago

Explain how Cavalieri’s principle can be used to find the volume of any solid.

Kruka [31]

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

Cavalier introduced parallel planes and area to describe the relationship between solids.
Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.

Suppose two regions are included between two parallel planes.
If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
The formula for the volume of a prism is the area of the base times the height.

8 0

2 years ago