Answer:
The answer to your question is Triangle's area = 520 in², Square's area = 576 in²
Step-by-step explanation:
Process
1.- Calculate the area of the triangle
-Find the length of the base using the Pythagorean theorem
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 37² - 35²
-Simplification
b² = 1369 - 1225
b² = 144
b = 12 in
-Find the base
base = 2(12) = 24 in
-Find the area of the triangle
Area = base x height / 2
-Substitution
Area = 24 x 35 / 2
-Simplification
Area = 420 in²
2.- Find the area of the square
Area = side x side
-Substitution
Area = 24 x 24
-Result
Area = 576 in²
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.
Let d1= x. since total distance is 12, we can write d2 = 12 - x
for the fulcrum to balance:
60x = 50(12 - x)
60x = 600 - 50x
110x = 600
x = 5.45
Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55
d1 = 5.45
d2 = 6.55
Answer:
9(t+5)<6
t<-13/3
Step-by-step explanation:
The expression is 9(t+5)<6
Distributing the 9, we get
9t+45<6
9t<-39
t<-13/3
