The board is 6 feet long, and there is 12 inches in a foot. This means the board is 72 inches long. Each piece she cuts is 1/4 (3) inches long. This means if we do 72/3, we see the number of pieces Joanna cuts is 24.
33 + 12 would be 45 centimeters square
Answer:
x = 4.52984
Step-by-step explanation:
Since the triangle has a right angle you need to use the the trigonometric function cos (theta which is the angle given that isn't 90°) = adjacent / hypotenuse (adjacent is the side close to the angle you're using which is 22° and the hypotenuse is the longest side of the triangle that is in the away from the right angle)
From there you plug in the numbers which now become cos (22°) = 4.2 / x
Then you isolate the x by multiplying it to both sides so it's on the left and divide both sides by cos (22°) which will end you up x = 4.2 / cos (22°)
Then you just divide and you 4.52984
To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
Answer:
$920
Step-by-step explanation:
The amounts added are the arithmetic sequence ...
1, 2, 3, ... 40
The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...
40·20.5 = 820
Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...
$100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now
