5x7=35 35/10=3.5
so 3.5 is the answer
Answer:
30
Step-by-step explanation:
2/9 and 5/6 have a lcm of 30.
The three numbers have to multiply to 48 in a ratio of 3:2:1
which would be 6:4:2
so 6 inches
Answer:
492.52
Step-by-step explanation:
The formula is P(t) = P(0) x (1+r/n)^nt so...
P(t) = 440 (1+0.058/1)^8
P(t) = 492.52
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²