Area of Big Rectangle Area of Small Rectangle
A = L x w A = L x w
= (25 + 2w)(10 + 2w) = 25 x 10
= 250 + 50w + 20w + 4w² = 250
Big - Small
74 = 250 + 70w + 4w² - 250
74 = 4w² + 70w
0 = 4w² + 70w - 74
= 2(2w² + 35w - 37)
= 2[2w² -2w | +37w - 37]
= 2[2w(w - 1) | +1(w - 1)]
= 2(2w + 1)(w - 1)
0 = 2 0 = 2w + 1 0 = w - 1
FALSE so disregard w = -1/2 w = 1
NEGATIVE so disregard
Answer: 1 meter
Convert the percentages in decimals:
90/100 = 0.9, 20/100 = 0.2
Multiply the decimals:
0.9 times 0.2 is 0.18, or 18%
Greg has an 18% chance of being elected both positions.
Answer:
depends on what it is. like is it a dice or something you're pulling out of a bag.
Answer:
Yes
Step-by-step explanation:
the function that gives the alcohol level is:

where x is the number of hours.
we need to know if after 4 hours an average person is legally drunk, thus:

and we substitute this in the function:

solving these operations we obtain:


the alcohol level after 4 hours is 3.24.
Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.