Answer:
c. 7
Step-by-step explanation:
Let x represent the length of the missing side. The Pythagorean theorem tells you ...
x^2 + 24^2 = 25^2
x^2 + 576 = 625 . . simplify
x^2 = 49 . . . . . . . . . subtract 576
x = 7 . . . . . . . . . . . . take the square root
The length of the missing side is 7.
10(.5x + 6) = 8
.5 can also be exchanged for a 1/2
To solve this, you can distribute the 10 and then subtract and divide, like so:
5x + 60 = 8
5x = -52
x = -10.4
A right angled triangle can be formed from the given scenario as shown below in the figure:
We have a perpendicular(opposite side), the measure of angle and we are interested in finding the hypotenuse.
sine of the angle relates its perpendicular side to hypotenuse as:
sin(x) = perpendicular/hypotenuse
⇒
Hypotenuse = Perpendicular/sin(x) = 13/sin(70) = 13.8 feet
This means, the length of the ladder is 13.8 feet, rounded to nearest tenth.
Step-by-step explanation:
The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other
Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)
the slope, m= (y2 - y1)/(x2 - x1)
The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as
rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...