Answer:
A
Step-by-step explanation:
I'm pretty sure some smart guy in Greece noticed this but:
Since 4 + 8 = 12, thats the only option where 2 of the smaller sides add up to the big one. I don't know much of the reasoning behind this but my math teacher showed it to us by using Popsicle sticks to make triangles. You can try it if that helps you think about it. Apparently, if you add up the 2 smaller sides, then it HAS to be more than the biggest side.
Answer: The number is 192
Step-by-step explanation:
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
Step-by-step explanation:
Height = base + 10
Area = 100 square ft
Area of a triangle= (1/2) (b) (h)
100 = (1/2) (b) (b + 10)
200 = b(b) + 10b
b(b) + 10b - 200 = 0
b(b) + 20b - 10b - 200 = 0
b ( b + 20) -10(b + 20) = 0
(b-10) (b+20) =0
b = 10 (or) b = -20
Here b is the length and cannot be negative.
So, b = 10ft
h = b + 10
h = 10 + 10
h = 20 ft.
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
For this case, the main function is given by:
We can apply the following transformation:
Horizontal displacements:
Assume h> 0:
To graph f (x + h) move the graph of f (x) h units to the left.
For h = 1 we have:
Answer:
the graph y=6(x+1)^2 is the graph y=6x^2 moved 1 unit to the left.
Answer: it will take him 4.5 hours to cover same distance
Step-by-step explanation:
Marathon runner covered the whole distance in 4 hours running at a constant speed of 8.1 km per hour.
Speed = distance / time
Distance = speed×time
Therefore, distance covered by the marathon runner in in 4 hours, running at a speed of 8.1 km per hour is
8.1 × 4 = 32.4 kilometers
if he decreased the speed to 7.2 km per hour, the distance remains 32.4 kilometers. Therefore,
At 7.2 km per hour, the time it would take him to cover the same distance would be
Distance/ speed = 32.4/7.2 = 4.5 hours
