How do you simplify6y-3-5y
1 answer:
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Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ <u>28.6 km</u>
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II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ <u>34.8 km</u>
Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): . <em>$2500 is the 10% raise.</em>
Next, to find your first new salary, add $25000 and $2500 together: . <u>$27500 is your new salary after the 10% raise.</u>
Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. . <em>$2750 is your 10% cut.</em>
Next, since this is a cut, subtract $2750 from $27500. . <u>$24750 is your new salary after the 10% cut.</u>
Next, to find the percentage change, firstly divide $24750 by $25000. . Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%:
. <u>Your current salary is 1% less than what you used to make.</u>