Answer:
Hypotenuse = 37
Step-by-step explanation:
Let the base is 12 and height is 35.
We can use Pythagorean theorem to find the third side (hypotenuse or the longest side). The Pythagoras theorem can be given by :
Hence, the hypotenuse is 37 units.
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Answer:
53 teachers
Step-by-step explanation:
Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:
6,734 / 25 = 269.36
Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).
If we take 269 teachers and 25 students per class, we get:
269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.
That means that the number of teachers needed is 270.
It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.
Answer and Step-by-step explanation:
AB = DC = 2x
AD = BC = 4y - 6 = 3x
180 = 2x + 2x + 3x + 3x = 10x
18 = x
4y - 6 = 3(18)
4y = 54 + 6
4y = 60
y = 15
18 = x
15 = y
<u>2(18) + (4(15) - 6) + 3(18) + 2(18) = 36 + 36 + 54 + 54 = 180</u>
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