Answer:The answer would be 43.75 so thank you :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hi
The length of the rectangle equals 80 cm, and the width equals 32 cm.
Divide the length to the width, we get the ratio between them :
80 : 32
Now, we simplify by dividing them both by the same number, in this case it's 16
=> 80 : 32 = (80 : 16) : (32 : 16) = 5:2
So, the ratio between the length and the width is 5:2
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.
This can be expressed as:
a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:
b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):
c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:
d) Expanded form for the area A:
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
