2. US$ 1.7135

Mathematics

1 answer:

Brrunno [24]3 years ago

4 0

Answer:

1577.8 US dollars are received for 1127 UK pounds.

5669.5 UK pounds are received for US$7937.3.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

How many US dollars are received for 1127 UK pounds?

1 UK pound = 1.4 US dollars

1127 UK pounds - x US dollars

Applying cross multiplication:

$x = 1127*1.4 = 1577.8$

1577.8 US dollars are received for 1127 UK pounds.

How many UK pounds are received for US$7937.3?

1 UK pound = 1.4 US dollars

x UK pounds - 7937.3 US dollars

$1.4x = 7937.3$

$x = \frac{7937.3}{1.4}$

$x = 5669.5
$

5669.5 UK pounds are received for US$7937.3.

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Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra

Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

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I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

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