3 years ago

The longest diagonal

1 answer:

8 0

The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y ⇒x=3y/2

(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6

x=3y/2=3*6/2=9

we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34

Answer: The longest diagonal is 36 units.

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A bag has red, green, and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a gree

mr_godi [17]

Answer:

4/15

Step-by-step explanation:

There are red, green and blue marbles in the bag. The total of all the probabilities of selecting red, green and blue marbles is 1.00, or just 1.

So, to find the probability of selecting a blue marble, we add together 1/3 and 2/5 and subtract the total from 1:

1 - (1/3 + 2/5)

or:

1 - (5/15 + 6/15)

or: