Answer:
x=40
Step-by-step explanation:
The semicircle is 25pi or 78.54
The rectangle is 120 (12*10)
The triangle is 24 (.5*12*4)
So the total is 222.54 (78.54+120+24)
Answer:
Step-by-step explanation:
Raphael needs 9 packages of buns
first you need to multiply 14 by 5 to get 70 which is how many hamburgers will be made. then divide 70 by 8 to see how many packages will be needed. you get 8.75 by doing this so you have to round up to 9 to have enough.
Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
