Here is your answer > >
Width of rectangle =15 inches
Length of rectangle =?
Diagonal of rectangle = 25 inches
We know that
(Diagonal of rectagle)^2=length^2+breadth^2
(25)^2=l^2+(15)^2
625=l^2+225
l^2=625-225
l^2=400
l=Root 400
l=20 inches
Hope it helps!
Thankyou ☆ ☆
Bebrainly
Answer:
48
Step-by-step explanation:
The ratio of professors to lecturers is ...
P : L = 6 : 11
Then the ratio of professors to total faculty is ...
P : (P+L) = 6 : (6+11) = 6 : 17
That is, professors make up 6/17 of the total faculty. Their number is ...
P = (6/17)·136 = 48
The Community College employs 48 professors.
We can create equations to solve this.
2.50p + 1.50m = 29.50
p + m = 15
Solve for a variable in the 2nd equation and use the substitution method to solve.
p + m = 15
Subtract p to both sides:
m = -p + 15
Plug in -p + 15 for m in the first equation.
2.50p + 1.50(-p + 15) = 29.50
Distribute:
2.50p - 1.50p + 22.50 = 29.50
Combine like terms:
p + 22.50 = 29.50
Subtract 22.50 to both sides:
p = 7
Now plug this into any of the two equations and solve for the other variable.
p + m = 15
7 + m = 15
Subtract 7 to both sides:
m = 8
So he purchased 7 pineapples and 8 mangos.
