Answer:
87.5%
Step-by-step explanation:
7/8
= 0.875
= 0.875 x 100%
= 87.5%
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.
Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.
Plugging in known values, we get:
6^2 + b^2 = 10^2
Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100
Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64
The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.
This means that <span>the ladder can reach 8 feet up the wall.</span></span>
Answer:
-17/3
Step-by-step explanation:
(-6) + (-4)/(3 *-4) = -17/3
Helps you learn mathematical concepts, such as the four basic arithmetical operations and finding divisors.
Answer:
#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C. 2; 0.5; #5) A. 0.05 seconds; 4.5.
Explanation:
#1) The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself. In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4. This means the period goes from t=0 to t=4, so it is 4.
#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2). Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.
#3) This function never repeats, so it is not periodic.
#4) This function repeats when it reaches t=2, so 2 is the period. The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak. The center line would be located at about y=0.5; the peaks are at y=-1. This means the amplitude is 0.5.
#5) This function repeats every 0.05 seconds. In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.
