Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
and then grouping like terms next to each other:
(this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
The next one, after distributing the negative into the parenthesis:
and then grouping like terms next to each other (remember to move their signs with them!):
which simplifies to
Now for the last one:
and
which simplifies to
Answer:
He can make it with Max's audio goods
44.575 miles < 45 miles
Step-by-step explanation:
The angle of the truck driver = 180 - (60 + 69) = 51°
By using sin Rule:
40/sin51 = Max's auto goods/sin60 = Jimmy's car supply/sin69
∴ Max's auto goods = 40(sin60)/sin51 = 44.575 miles
∴ Jimmy's car supply = 40sin(69)/sin51 = 48.052 miles
∵ The truck driver can travel another 45 miles
∴ He can make it with Max's audio goods because 44.575 < 45
Hello!
The dimensions that maximize its area is when the width and the length are the same
The dimensions for the highest area is 40 x 40
The answer is 40 by 40
Hope this helps!
Answer:
1/12
Step-by-step explanation:
first we have to find all the possibilities of getting a sum of 3 or less: 1+1 or 1+2 and we count the second combination 2 times because the numbers can be on either of the dices so we have a total of 3 possibilities. all the possible pairimg of dice are 6*6=36 because each dice has 6 sides and we can get either of them. so the probability would be the chance of getting a sum of 3 or less divided by all the diff combination which equals 3/36 or 1/12 which is roughly around 8.3%
The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
A = 0.5(15 m + 19 m)(10 m)
A = 170 m²
The area of the garden is 170 m².
