White paint cost £2.80 a litre.

1 answer:

riadik2000 [5.3K]3 years ago

8 0

There are five parts to the ratio:
18 ÷ 5 is 3.6.
Therefore you need 10.8l of white paint and 7.2l of blue paint.

10.8l * 2.80 = £30.24
7.2l * 3.50 = £25.20

The total is <span>£55.44</span>

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What is the focus of the parabola<br> (y-3)^2=8(x-5)?

tino4ka555 [31]

Hello,

Let's suppose y'=y-3
and x'=x-5
Parabola become y'²=8x' whose focus is (8/4,0)=(2,0)

y=y'+3==>y=0+3=3
x=x'+5==>x=2+5=7
Focus is (7,3)
Rem for parabola y²=kx focus is (k/4,0)

7 0

3 years ago

Nathan ordered one cheeseburger and one bag of chips for 3.75 jack ordered two cheeseburgers and three bags of chips for 8.25 kn

Elan Coil [88]

Answer:

cheeseburger is $3 and chips is $0.75

Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

2x+3y=8.25

2(3.75-y)+3y=8.25

7.5-2y+3y=8.25

y=8.25-7.5=0.75

x=3.75-y=3.75-0.75=3

Therefore, price of cheeseburger is $3 and chips is $0.75

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3 years ago

Find A and B if sin2xcos3x = A sin 5x + B sin x

patriot [66]

Recall that

$\sin(x+y)=\sin x\cos y+\cos x\sin y$
$\sin(x-y)=\sin x\cos y-\cos x\sin y$

Adding these together, you have

$\sin(x+y)+\sin(x-y)=2\sin x\cos y$
$\dfrac12\sin(x+y)+\dfrac12\sin(x-y)=\sin x\cos y$

Replace $x$ with $2x$ and $y$ with $3x$ . You end up with

$\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x$
$\sin2x\cos3x=\dfrac12\sin5x+\dfrac12\sin(-x)=\dfrac12\sin5x-\dfrac12\sin x$

and so $A=\dfrac12$ and $B=-\dfrac12$ .