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2 years ago

Which one is it and why? Please actual answers only

Mathematics

2 answers:

Andrej [43]2 years ago

7 0

Answer:

The first answer, 3(pi) km^2

Step-by-step explanation:

3 x pi squared determines the area

Bad White [126]2 years ago

4 0

Answer:

I believe that it is A

Step-by-step explanation:

I don't know how to explain it

I think it is just the formula for the area of a circle

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3 years ago

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Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

Andre45 [30]

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2 years ago

I need to get the left side to equal the right side. Keeping the right side alone and not changing it.

likoan [24]

<u>To prove the trigonometric equation:</u>

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

$RHS=(\sin x+\cos x)(1-\sin x \cos x)$

We know that $\sin^2x +\cos^2x=1$ , substitute this in place of 1.

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

Multiply each term of the first term with each term of the 2nd term.

$=\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x$

Group like terms together.

$=\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x$

$=\sin^3x +( 0)+(0) + \cos^3 x$

$=\sin^3x + \cos^3 x$

= LHS

RHS = LHS

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

Hence proved.

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3 years ago

Which statements are true regarding the rotational symmetry of the shape of a cross? Select three options.

Inga [223]

Answer:

The correct options are;

1) The shape maps unto itself after a rotation of 270 degrees

2) The smallest angle of rotational symmetry is 90 degrees

3) The shape maps unto itself after a rotation of 180 degrees

Step-by-step explanation:

We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;

After rotation by 90 degrees, the vertical member will become horizontal and vice versa

After rotation by 180 degrees, the vertical member will become horizontal and vice versa again

Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical

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2 years ago