1. Add x on both sides of the equation.
2. Subtract 5 from both sides of the equation.
3. Divide both sides of the equation by 3.
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Answer:
.894
Step-by-step explanation:
First thing to do is to solve for the height of the triangle, BD. That's easy. We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8. Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest. For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB. First let's use geometric mean to find AD. The formula for that, now that we know the height, is

Filling that in with numbers we have
and
64 = 16(AD). Solve for AD to get that AD has a length of 4. Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.
and
so
c=√80 which simplifies to 4√5. That means that the sin ratio for x is

which divides out to .894
Answer:
y=3-2x
Step-by-step explanation:
Parallel to y = 3 − 2 x => y=c-2x
Through (3,1) => 1=c-2(1) <=> c=3
Line is y=3-2x
Tim will get £8
Sam will get £32
Answer: Let us assume that our income is $X.
In the first case:
1) We received a raise and our income increased to 135% of its previous amount.
"increased to" denotes that we will multiply our original income by the percentage given.
Therefore our income would be = $X * 1.35 = $1.35
X
In the second case:
2) We received a raise and our income increased by 135%.
"increased by" denotes that we have to add the given percentage of our income to our original income.
<em><u>Therefore our income would be $X + $X*1.35= $2.35X</u></em>