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3 years ago

6

Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141

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-429 = -684cos(z)

cos(z) = -429/-684

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z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]

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3 years ago

Read 2 more answers

Traza el grafico de la función y= ax+b,

Charra [1.4K]

Answer:

a) $y= 2x+1$

The graph is on the figure with the red line

b) $2= 3*2 +b$

$b= 2-6 =-4$

And the equation would be:

$y = 3x -4$

The graph is on the figure with the blue line

Step-by-step explanation:

Part a

We know that a=2 and b =1

The general expression is given by:

$y= 2x+1$

The graph is on the figure with the red line

Part b

For this case we know that a=3 and we know a point given (2,2). Then we can find the value of b like this:

$2= 3*2 +b$

$b= 2-6 =-4$

And the equation would be:

$y = 3x -4$

The graph is on the figure with the blue line

7 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

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2 years ago