Answer:
24
Step-by-step explanation:
since c=4 and d=48, we can re-write this equation
48-6 x 4
48 - 24
24
Answer:
8:24, 24: 72, 16:48
Step-by-step explanation:
There's a lot just multiply them by the same number
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
![[tex]dV/dt = 2(12)(6)(-2)+ 12^2(1)](https://tex.z-dn.net/?f=%5Btex%5DdV%2Fdt%20%3D%202%2812%29%286%29%28-2%29%2B%2012%5E2%281%29)
[/tex]
So at that moment, the volume is decreasing at the rate of
Answer:
is there a picture?
Step-by-step explanation:
Answer:
angle: 44°
complementary angle: 46°
Step-by-step explanation:
Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.
__
<h3>setup</h3>
Let 'a' and 'c' represent the angle and its complement, respectively.
a = c -2 . . . . . an angle is 2° less than its complement
a +c = 90 . . . . complementary angles total 90°
<h3>solution</h3>
Using the first equation to substitute for 'a' in the second, we have ...
(c -2) +c = 90
2c = 92 . . . . . . add 2, collect terms
c = 46 . . . . . . . divide by 2
a = 46 -2 = 44 . . . . find 'a' using the first equation
The angle is 44°; its complement is 46°.
