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3 years ago

Which of these numbers is conposite? 4,7,23,29,41

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

The composite is 4 .

I hope this helps and please mark as branilyest I need 4 more to level up in rank.

Turtle14526

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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

3 years ago

Which unit of measure would be appropriate for the volume of a sphere with a radius of 2 meters?

Goryan [66]

The volume of a figure is the quantity of three-dimensional space enclosed by a closed surface, or simpler the number of cubes required to fill it completely.

The basic unit of volume in the metric system is the liter (l).There are 1000 liters per cubic meter.

Howeever, the unit of measure that would be appropriate for the volume of a sphere with a radius of 2 meters is cubic meters. Correct answer: C

4 0

3 years ago

1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still ge

Oduvanchick [21]

can you type the decimals in the comments

7 0

3 years ago

The ratio to cats at an animal shelter 3:1. if there are 56 dogs and cats in all, how many more dogs than cats are there??

Black_prince [1.1K]

Answer:

There are 28 more dogs than cats at the animal shelter.

Step-by-step explanation:

If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.

The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.

After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.

So there are 42 dogs and 14 cats at the animal shelter.

However, it is asking for how many more dogs than cats there are, so you have to subtract 42 - 14 and the answer is 28 more dogs than cats.

6 0

3 years ago

Help me please, please

Elina [12.6K]

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.

Step-by-step explanation:

7 0

3 years ago