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3 years ago

Which explanation justifies how the area of a sector of a circle is derived?

Mathematics

1 answer:

givi [52]3 years ago

4 0

The answer would be D

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A number decreased by the sum of the number and seven. what is the algebraic expression?

Aleks04 [339]

The answer would be x-(7+x)

5 0

2 years ago

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A cyclist travels 3km in 10min what's his speed in km/h

denis-greek [22]

10minutes= 10/60 hours
= 1/6 hrs
speed = distance/ time
=3/ (1/6)
= 18 km/h

5 0

3 years ago

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Solve the equation : <img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%

Debora [2.8K]

Answer:

General solution is

$x = n \pi + \frac{\pi }{8}$

Step-by-step explanation:

Step(i):-

Given cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b) $cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }$

Step(ii):-

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

$cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x$

$cos (\frac{\pi }{4}+x ) = cos 3 x$

Step(iii):-

General solution of cos x = cos ∝ is x = 2 nπ+∝

we have $cos (\frac{\pi }{4}+x ) = cos 3 x$

The general solution of $cos (\frac{\pi }{4}+x ) = cos 3 x$ is

⇒ $3 x = 2 n \pi + (\frac{\pi }{4}+x )$

⇒ $3 x- x = 2 n \pi + \frac{\pi }{4}$

$2x = 2 n \pi + \frac{\pi }{4}$

final answer:-

General solution is

$x = n \pi + \frac{\pi }{8}$

8 0

3 years ago

The local water park has decreased its ticket prices every summer to get more people to come.

statuscvo [17]

Answer:$24 on 2016

Step-by-step explanation:

2012 = $30

2015 = $25.50

30.00-25.50=4.50

$4.50

so,3 years different, so that 4.50/3 years = $ 1.50

7 0

3 years ago

Find the slope of the line that passes through (4,-2) and (2,4) please

Lyrx [107]

The slope would be -3

5 0

3 years ago

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