Answer: 100 - 24x
Step-by-step explanation:
The formula for calculating the perimeter of a square is given by :
P = 4l , where l is the length of the side.
Perimeter of square A will be
P = 4 ( 2x - 7 )
P = 8x - 28
Perimeter of square B will be ;
P = 4 ( -4x + 18 )
P = - 16x + 72
Perimeter of square B - Perimeter of square A implies
-16x + 72 - ( 8x - 28 )
-16x + 72 - 8x + 28
collecting the like terms
-16x - 8x + 72 + 28
-24x + 100
⇒ 100 - 24x
Answer:
Quadrant 1
Step-by-step explanation:
how I understood this is first understanding how a graph works. Once you understand that you can count 13 horizontal on the "X" Axis, then go 18 up on the "Y" axis. you should get a point in the upper left area and that area is called Quadrant 1. Say if 13 was negative instead of going horizontal east you would go horizontal west. And the point should end up in Quadrant 2. Any more questions feel free to ask me below.
There are a total of 8 balls
The probability of drawing a white ball is 4/8 on the first draw.
If you replace the ball then the probability will still be 4/8 for a white ball, since these events are independent of each other you multiply 4/8 x 4/8 = 16/64 or 1/4 then the probability of drawing at least 1 red ball with replacement is 1 - 1/4 = 3/4
Now without replacement:
the probability of drawing a white ball is 4/8 since you don't replace the ball then the probability of drawing a white ball the second time is 3/7 again multiply these two probabilities: 4/8 x 3/7 = 12/56 the the probability of drawing at least 1 red ball is 1- 12/56 = 44/56 or 11/14
Answer:
Distance of ladder top from ground = 9.2 meter (Approx.)
Step-by-step explanation:
Given:
Angle of elevation between ground and ladder = 43°
Length of ladder = 13.5 meter
Find:
Distance of ladder top from ground
Computation:
Length of ladder = Hypotenuse
Distance of ladder top from ground = Perpendicular
Sinθ = Perpendicular / Hypotenuse
Sin 43 = Distance of ladder top from ground / Length of ladder
0.6819 = Distance of ladder top from ground / 13.5
Distance of ladder top from ground = 9.20565
Distance of ladder top from ground = 9.2 meter (Approx.)
