Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
Answer:
1.75
Step-by-step explanation:
h(t) = -16t² + 56t
h'(t) = -32t + 56
To find time at max height equate h' to 0
0 = -32t + 56
t = 56/32 = 1.75 s
It takes 1.75 s to reach max highest point
Yes, there is a type of triangle called a "3 4 5 triangle" with side lengths 3, 4, and 5.
F(x) would appear in linear and quadratic functions.
So the equation is 1.5(1.1) +7.6
1. Multiply 1.5* 1.1 = 1.65
2. Add 1.65 +7.6= 9.25
I would have to say the answer is 9.25
