supermanaccz

cos 63°  = sin x

After switching sides:

\sin \left(x\right)=\cos \left(63^{\circ \:}\right)

Using \cos \left(x\right)=\sin \left(90^{\circ \:}-x\right)

We have:

\sin \left(x\right)=\sin \left(90^{\circ \:}-63^{\circ \:}\right)

So x = 180^{\circ \:}-27^{\circ \:}+360^{\circ \:}n,\:x=360^{\circ \:}n+27^{\circ \:}\(180^{\circ \:}-27^{\circ \:}+360^{\circ \:}n,\:x=360^{\circ \:}n+27^{\circ \:}\)

Since she buys x packs of currant buns and there are 6 buns in a pack. She must buy 6x buns. 

Since she buys y packs of iced buns, and there are 8 iced buns in a pack, She must buy 8y buns. 

I hope this helped,

Supermanaccz

A full revolution is 360 degrees and since the pulley turns 120 degrees a second, it can fully revolve in 3 seconds. There are 60 seconds in a minutes, so 60/3 = 20 

20 revolutions a minute. 

We can start by replacing b with (a-1).

\begin{align*} (a-1)^2\cdot a^0&=7\cdot a^1+1\cdot a^0
\\\Rightarrow\qquad a^2-2a+1&=7a+1
\\\Rightarrow\qquad a^2-9a&=0
\\\Rightarrow\qquad a(a-9)&=0
\end{align*}

So we can have 0 or 9.

But there is no base 0, so must be base 9. 

The first one is A

What’s the difference?

Just give me 15 minutes, I need a break

I can!

In this case pi is equal to 180 degrees, not 3.14159265358979323846...

2pi/3 is (2*180)/3 = 120. The center angle is 120 degrees which is 1/3 of the whole circle. 

All we need to do is find the length of the circumference. 

24 * 2 * pi = 48 pi 

48 pi / 3 = 16 pi 

16pi is the final answer. 

A: Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation fo Circle 2 with a scale factor of 1.6