Answer:
165
Step-by-step explanation:
150 + Percentage increase =
<em>150 + (10% × 150) =
</em>
150 + 10% × 150 =
<em>(1 + 10%) × 150 =
</em>
(100% + 10%) × 150 =
<em>110% × 150 =
</em>
110 ÷ 100 × 150 =
<em>110 × 150 ÷ 100 =
</em>
16,500 ÷ 100 =
(165)
Answer:
(x + 10)^2 + (-186)
Step-by-step explanation:
x^2 + 20x - 86 =
Move the constant term to the right leaving a space between the x-term and the constant term.
= x^2 + 20x - 86
To complete the square, take half of the x-term coefficient and square it.
Half of 20 is 10. 10 squared is 100. This is the number that completes the square. Add it right after the x-term. Now you need to subtract the same amount at the end.
= x^2 + 20x + 100 - 86 - 100
Since 100 was added and subtracted, the expression has the same value. The first three terms are a perfect square trinomial, so we write it as the square of a binomial.
= (x + 10)^2 - 186
Since you have an addition sign, we write -186 as a sum:
= (x + 10)^2 + (-186)
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
Answer:
think it is c
Step-by-step explanation: