Step-by-step explanation:
1/a = 1/b + 1/c
Multiply both sides by a.
1 = a/b + a/c
Multiply both sides by b.
b = a + ab/c
Multiply both sides by c.
bc = ac + ab
Subtract ab from both sides.
bc − ab = ac
Factor b.
b (c − a) = ac
Divide both sides by c − a.
b = ac / (c − a)
3 and 8 are legs of a right triangle. we are looking for the hypotenuse. therefore a²+b²=c²
3²+8²=c²
9+64=c²
73=c²
c=✓73 or about 8.544
Answer:
1:2 or 25:50
Step-by-step explanation:
Just add 25+25 to get 50. Which gives you the total students and the 25 boys there are. To simplify, it can be 1:2
Answer:
the height is 9
Step-by-step explanation:
To find the answer, we first need to understand the formula to find the volume of a cone:
Volume = 1/3 x base area x height
In this case, we can put the given information into the formula.
The base area of the cone: pi(radius)^2 = pi(3)^2 = 9pi
We can then find the height:
27pi = 1/3 x 9pi x height
27pi/9pi = 1/3 x height
3 = 1/3 x height
height = 9
Therefore, the height is 9cm.
Hope it helps!
Answer: $248.68
Step-by-step explanation:
Given
Money compounded according to
Here, P=$127
r=4.2%
t=16 years
Value after 16 years is $248.68