Answer:


Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is:

The order of the sides in the ratio above is
short leg : long leg : hypotenuse
The long leg is sqrt(3) times the length of the short leg.




The hypotenuse is twice the length of the short leg.


Answer:
Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.
Step-by-step explanation:
Given:
Number of boys = 72
number of girls = 90
We need to arrange students in rows with equal number of only boys and only girls.
To find the maximum number (x) of boys or girls in each row, we will find the GCF (Greatest Common Factor) of the numbers 72 and 90, such that 'x' divides both numbers evenly without a remainder.
Now to find GCF we will factorize both numbers.


from above we can say that;
GCF = 
Hence Mr. Johnson can arrange 18 students in each row, that is 4 rows of boys and 5 rows of girls.
I'm sorry but the solution you proposed was a bit hard to follow, so I'll just post my solution: we convert "2 and 1/2" to a single fraction:

So, we know that 5/2 gallons cost 60 dollars, which means

To find the cost of a single gallon, we have to solve the equation for g:

Answer:
94 cm.
Step-by-step explanation:
Perimeter = 25 + 2(10) + + 2(12) + 25
= 50 + 20 + 24
= 94 cm.