Answer:
The final price paid by Samantha is 55.25 $
Step-by-step explanation:
In order to find out the final price of the jacket for Samantha we need to calculate how much 35% of 85 $ is and subtract the original price by it. So we have:
price of discount = 85*(35%) = 85*(35/100) = 85*(0.35) = 29.75 $
Now we can compute the final price by subtracting the original price by the price of discount. So we have:
final price = original price - price of discount = 85 - 29.75 = 55.25 $
Answer:
Step-by-step explanation:
uhm sure
Answer:
x = 37.53
Step-by-step explanation:
Tan theta = opposite/adjacent
tan 47 = x /35
Multiply each side by 35
35 tan 47 = x/ 35 * 35
35 tan 47 = x
37.53290485=x
To two decimal places
x = 37.53
Answer:
<em>p = ± q / 5r + 8; Option D</em>
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
<em>Answer; p = ± q / 5r + 8; Option D</em>
