Answer:
Opt. D.
Step-by-step explanation:
To solve this problem we need to focus our attention in the abs(x-1) function,
If x>1, then abs|x-1|= x-1, if x<1 then abs|x-1|= 1-x. And in the two intervals, the function opens upwards.
But our function has -3 multiplying abs|x-1|, This means that our function opens downward.
The vertex point can be found when x=1, since abs(x-1)=0. this gives f(1)=12
We have two similar triangles, the one as a whole and the one inside of it. To calculate the height of the flagpole we can set up a proportion. First calculate the length of the base of the smaller triangle.
16.60 - 12.45 = 4.15m
The height is 1.65m, set up a proportion:
Cross multiply:
Divide 4.15 to both sides:
So the height of the flagpole is 6.6 meters tall.
57.1 seconds = 57.1 seconds *
= 0.01057 hour
1 mile / 57.1 seconds = 1 mile / 0.01057 hour = 94.57 miles/hour
Answer:
64 cubic metres
Step-by-step explanation:
The triangular pyramid volume formula resembles the volume formula for any other pyramid or cone:
V = A * H / 3
where:
A is the area of the pyramid's base
H is the height from the base to the point
In other words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height.
8 x 6 / 2 to find area of base = 24
x 8 = 192
192 / 3 = 64
Hope this makes sense. If you would like, I can l1nk to a very useful website, or I can explain it further.
- profparis
