Answer:
x = 100
Step-by-step explanation:
The larger area is ...
A = LW
A = (300+x)(200+x) = x^2 +500x +60,000
The smaller area is ...
A = (200)(300) = 60,000
We want the larger area to be double the smaller area, so ...
x^2 +500x +60,000 = 2(60,000)
x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000
x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square
(x +250)^2 = 350^2
We're interested in the positive solution, so we can take the positive square root to find it:
x +250 = 350
x = 100 . . . . . . . . . subtract 250
_____
The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.
Answer:
h = 2,67 units of length
Step-by-step explanation:
Volume of a cone is
V(c) = 1/3*π*r²
Where π*r² is area of the base
we know V(c) = 40 cubit units, and area of the base 15 square units, then
V(c) = Area of the base * h (height of the cone )
V(c) = 15 * h
h = V(c) / 15 ⇒ h = 40 / 15 ⇒ h = 2,67 units of length
<span>It is important to know that the sum of the three angles inside a triangle add up to 180 degrees. So then we get the following by adding up all three provided angle measures:
3x + (2x + 20) + (4x - 20) = 180
Some algebraic manipulation follows:
3x + 2x + 20 + 4x - 20 = 180
9x = 180
x = 180/9 = 20
The value of x is 20 degrees.</span>
Answer:
It can not be simplified after 3/10 so it stays that way
Step-by-step explanation:
1/2=5/10
1/5=2/10
5/10-2/10=3/10
-8,-2
Step-by-step explanation:
