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3 years ago

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

20 sides.

Step-by-step explanation:

The external angles of a polygon sum to 360 degrees.

So it's 360/18 = 20.

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(a²)³ × a5 tell me the answer step by step please

alexandr1967 [171]

Answer:

a^11

Step-by-step explanation:

a to the power of 2 to the power of 3 equals to a to the power of 6

then, multiplied to a to the fifth, you add 5 by 6, which is 11

4 0

3 years ago

Use logarithmic differentiation to find dy/dx if y=(cosx)sinx. Write the derivative in terms of x only. Show all your work.

gladu [14]

Step-by-step explanation:

y = (cos x)^(sin x)

Take log both sides.

ln y = ln ((cos x)^(sin x))

ln y = (sin x) ln (cos x)

Take derivative.

1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)

dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]

dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]

Your answer is correct.

7 0

3 years ago

Read 2 more answers

Solve 1 over 36 = 6x−3.

goblinko [34]

Actually it's none of the above .. x should be equal 0.50463 or 109/216..

7 0

3 years ago

What is an equation of the line that passes through the point ( 8 , − 4 ) and is parallel to the line x − 4 y = 12 x−4y=12?

Natasha2012 [34]

Answer:

as the line is parallel we do not change x-4y what we change is the result x = 8 & y = -4 so the result is 8 - 4 (-4) = 24 so the equation is 24

8 0

3 years ago

Enter your answer as a simplified fraction formatted like this: 42/53

expeople1 [14]

Answer:

$\displaystyle -0.\overline{37}=-\frac{37}{99}$

Step-by-step explanation:

<u>Convert a Repeating Decimal to a Fraction </u>

We need to convert the following decimal to a fraction:

$-0.\overline{37}$

Let's call x to the given number:

$x=-0.\overline{37}$

The number has two repeating (periodic) decimals, thus we multiply by 100:

$100x=-37.\overline{37}$

Note the decimals continue to repeat exactly like the original number.

Subtracting both expressións, the repeating decimals are simplified:

$100x - x = -37$

Operating:

99x=-37

Dividing by 99:

$\displaystyle x=-\frac{37}{99}$

The fraction cannot be simplified, thus:

$\mathbf{\displaystyle -0.\overline{37}=-\frac{37}{99}}$

8 0

3 years ago