3 years ago

What unit of time or volume is 1 equals 2?

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

What exactly are you asking?

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(cos A + cos b)^2 + (sin A + sin B)^2=?

emmasim [6.3K]

First, we expand the equation:

$cos^{2}A+2cosAcosB+ cos^{2}B+sin^{2}A+2sinAsinB+sin^{2}B$

Then, we combine certain terms in order to simplify them using trigonometry identities.

$cos^{2}A+sin^{2}A+cos^{2}B+sin^{2}B+2cosAcosB+2sinAsinB$

Note these identities:
Pythagoran relation: $cos^{2}A+sin^{2}A = cos^{2}B+sin^{2}B=1$
Sum and Difference Formula/Identities: $cos(A-B) = cosAcosB+sinAsinB$

Thus, if we apply these identities, the simplified equation would be:
$2(cos(A-B))+2$

Simplying further, the answer would be

$2[cos(A-B)+1]$

6 0

3 years ago

A circle has a radius of 8 ft.

Inessa05 [86]

The answer is 3.925 i believe that is the answer

8 0

3 years ago

Read 2 more answers

Can someone help me please :)

hram777 [196]

B. The fraction 4/9 is 4 times as large as 1/9

7 0

2 years ago

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4? 8 4 5 16 5 8 5

german

You can calculate the arc lenght by using this formula:
arc length = 2π*r*(A/360) , where A=angle of the arc.

So for you it would be:
arc length = 2π*4*(72/360) = 5.03

I hope that helped.

3 0

3 years ago

The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skatin

Zigmanuir [339]

$x-children\\\\y-adults\\\\ \left \{ {{x+y=44\ \ -->x=44-y} \atop {3*x+5*y=168}\ \ \ \ \ \ \ \ \ \ } \right. \\\\
Substitution\ method\ \\\\3(44-y)+5y=168\\\\132-3y+5y=168\\\\2y=168-132\\\\2y=36 \ \ |:2\\\y=18\\\x=44-y=44-18=26\\\\There \ were\ 26\ children.$

4 0

3 years ago