Answer:
Length of the base=10
Width of the base=50
Step-by-step explanation:
Length of the base=80/8=10
Width of the base= 6.25*8=50
Answer:At 95% confidence interval, the lower end is 64.306 and the upper end is 64.614
At 98% confidence interval, the lower end is 64.268 and the upper end is 64.652
Step-by-step explanation:
<h3>
Answer: y = (9/4)x - 2</h3>
=======================================================
Explanation:
Line K is 9x-4y=-5*4 which is the same as 9x-4y=-20
Rule: Anything parallel to Ax+By = C is of the form Ax+By = D.
The equation 9x-4y=-20 has A = 9, B = -4 and C = -20.
That means Ax+By = D becomes 9x-4y = D.
------------------------------
Plug in the coordinates (x,y) = (4,7) and compute the value of D.
9x-4y = D
D = 9x-4y
D = 9(4)-4(7)
D = 36 - 28
D = 8
So 9x-4y = D becomes 9x-4y = 8
----------------------------
The last step is to solve for y to get the equation in y = mx+b form.
9x-4y = 8
-4y = 8-9x
-4y = -9x+8
y = (-9x+8)/(-4)
y = (-9x)/(-4) + 8/(-4)
y = (9/4)x - 2 is the slope-intercept form of line L
The equation is in y = mx+b form where,
m = 9/4 = slope
b = -2 = y intercept
Answer:
The perimeter of the new pentagon is equal to times the perimeter of the original pentagon
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-------> the scale factor
x------> the perimeter of the new pentagon
y-----> the perimeter of the original pentagon
so
In this problem we have
substitute
therefore
The perimeter of the new pentagon is equal to times the perimeter of the original pentagon