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3 years ago

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Millie works 8 hours on Saturday and earns £6.50 an hour. Her bus fare to work costs £2.75 and she also spends £4.25 on her lunc

h. She allocates an equal amount of her remaining pay to the remaining six days of the week. How much does she have to spend each day?

1 answer:

hram777 [196]3 years ago

3 0

The answer is 14% or 0.14

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nikdorinn [45]

Answer:

$\angle ABC=20^{\circ}$

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

$\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}$

Add both equations to solve for $y$ :

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Now substitute $y=15$ into $3x+14y=180$ to solve for $x$ :

$3x+14(15)=180,\\3x=-30,\\x=-10$

Finish by substituting both variables to solve for $\angle ABC$ :

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3 years ago

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kobusy [5.1K]

Answer:

$\Huge\boxed{x=71.9}$

Step-by-step explanation:

Hello There!

Once again we are going to use trigonometry to solve for x

Here are the <u>Trigonometric Ratios</u>

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length (58) and the adjacent side length (19)

this corresponds with tangent so once again we will be using tangent to solve for x

Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation

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now we have

$tan(x)=3.052631579$

Once again we need to get rid of the tan

to do so we take the inverse of tan ( tan^-1) and apply it to each side

$arcsin^-^1(tan(x))=x\\arcsin^-^1(3.052631579)=71.86191784$

finally we round to the nearest tenth

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