Answer:
missing side = 50
Step-by-step explanation:
using Pythagoras theorem,
30² + 40² = (missing side)²
900 + 1600 = (missing side)²
(missing side)² = 2500
missing side = √2500
missing side = 50
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>
Answer:
Mean
Step-by-step explanation:
Since 360 is such a greater amount of time than the previous ones, it will greatly affect the mean.
<span>From the choices above, the most likely to be a reasonable solution is C</span>.)40 batches of cookies and 20<span> batches of cupcakes.</span>
Answer:
12
Step-by-step explanation:
Use the Pythagorean theorem, a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
