Answer:
10.2 inches
Step-by-step explanation:
we know that
In this problem we have two cases
First case
The given lengths are two legs of the right triangle
so

Applying the Pythagoras Theorem
Find the length of the hypotenuse

substitute



Second case
The given lengths are one leg and the hypotenuse
so

Applying the Pythagoras Theorem
Find the length of the other leg

substitute



Find the difference between the two possible lengths of the third side of the triangle
so

Answer:
x=9
Step-by-step explanation:
since the location of 4x+2 and 7x-25 is across from each other that means that they are equal to each other so you have to set them equal to each other by doing 4x+2=7x-25 then you add like terms you add 25 and 2 together which gives you 27 and the equation will look like 4x+27=7x and then you subtract 4x from 7x which gives you 3x and u get the equation 27=3x now you divide 27 by 3 and get 9 so the equation will be x=9
Answer:
Mechanical advantage = Effort distance/Resistance distance
Effort distance = D - Fulcrum = 0.5 m
Resistance distance = A - Fulcrum = 2.0 m
Then,
Mechanical advantage = 0.5/2 = 0.25
Hockey stick is an example of third class where mechanical advantage is less than one as the speed of the end of point A is critical.
Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
He paid $6.42 per bag. $25.81 - $6.55 = $19.26. $19.26/3 = $6.42