Answer: c = \frac {d + ab} {a}
Step-by-step explanation:
For this case we have the following equation:
a (c - b) = d
We want to solve the equation for the letter c.
To do this, we apply the distributive property:
ac-ab = d
Then, applying addition property of equality we have:
ac = d + ab
Then applying division property of equality we have:
c = \frac {d + ab} {a}
The triangles in question 15 are proportional, so they are similar. Meaning that their angles are the same, so <B=<E, or <B=30 degrees.
For #17, the formula for the area of a circle is a=pi*r^2. The radius, in this instance, is 1/2 of 27, or 13.5. Plug it into the formula: a=pi*13.5^2. a=pi*182.25. If you want to simplify it further, a=572.265.
#19, same formula as #17. a=pi*r^2. a=pi*6^2. a=pi*36. a=113.04 or 113m^2.
#20, Wow this is a complicated one. Anyway, the area of the square in the middle is obviously 9m. The area of all of the circles is a=pi*1.5^2 DIVIDED BY TWO, since they're half circles. a=pi*2.25/2, a=7.065/2. a=3.5325. Since there are 4 of them, multiply that number by 4... 14.13. Add 9 to that to get the area of the whole figure: 23.13m(^2). Hope this helps.
Answer:
Step-by-step explanation:
Since, the surface area of a cylinder,
................(1)
Where,
r = radius,
h = height,
If 
( by middle term splitting )
By zero product property,
r = 3 or r = - 6 ( not possible )
Thus, radius, r = 3 meters,
Now, differentiating equation (1) with respect to t ( time ),
∵ h = constant, ⇒ dh/dt = 0,
We have, 
Now,
Volume of a cylinder,
Differentiating w. r. t. t,
