lhyla02

Hey there,

Finding $VT$ and $UV$ is quite simple as it will just be half of $RT$ and $US$ respectively, so:

$VT=11units$ and $UV=9units$, (thus $RV=11units$ and $VS=9units$)

Finding $RS$ and $ST$ will require Pythagoras ($C=\sqrt{A^2 + B^2}$). See the working below:

$RS=\sqrt{(RV)^2+(VS)^2}=\sqrt{11^2 +9^2}\approx14.213units$
 

Since $RV=VT$, $RS=RT$

Hope this helped :)

Hey there,

Given the X rule (I don't know if this is what it is actually called), we know that the two given angles are equal to eachother so we can just use some rearranging to find what y is

11y-110=4y-5

7y=105

y=15

Thus PTS will be 11(15-10)=55 degrees

Hope this helped :)

Hey there!

Gabrielle will be $63$

Mikhail will be $50$

Since $63+50=113$ and $63-50=13$

Hope this helped :)

Hey there!

The formula for the area of a pentagon is as follows:

$Area=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2$

Since all sides are equal to 5cm, just sub this into "a" to get the area:
 

$Area=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*5^2\approx43.01194cm^2$

You want the nearest tenth so your answer will be: $43.0cm^2$

Hope this helped :)

here are the solutions for $x$

$x= \frac{\pi}{2}+2\pi n, x=\frac{3\pi}{2}+2\pi n, x=\frac{7\pi}{24}+\frac{\pi n}{2}, x=\frac{11\pi}{24}+\frac{\pi n}{2}$

where $n$ is any positive integer

found by moving $-5sin(5x)$ over and letting it equal $0$. After some moving around and trig identities, you just solve for each part seperately.

Hope this helps :)

Hey there, my Italian is very rusty...

are you asking what is 24^4? Or 17/2?

like this? 
 

24^4 = 24x24x24x24 = 331776

or

17/2 = 8.5?

Salve, il mio italiano non è molto buono, è ciò che ho mostrato al di sopra della correttezza?

Hey there.

Might need some confirmation on this, but because it is continuous, i think that means that at x=3, the top and bottom are equal to eachother.

so: 3x^2 + 2 = ax - 1

Using this just rearrange and you can find a with x = 3

3*9+2=3*a-1

29=3a-1

30=3a

10=a

Hope this helps, im pretty sure thats how it works :)

Using rise/run, it can be seen that the gradient of this line is 1/4.

The labelled y intercept is the value of b, thus 1

Therefore the equation of this line is equal to:

y=1/4x + 1

*Checked in online graphing tool*

How did you get 8/3 as the gradient here?

This is incorrect as the gradient is 1/4

I did notice that! Can't criticise you for that though I'm no better myself xD