Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be
Since Aces are considered as the highest card in the deck.
So, remaining probability would be
Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be
Hence, the required expected value is $3.46.
Answer:
A
Step-by-step explanation:i took the test
Answer:
104.6 deg, 75.4 deg
Step-by-step explanation:
One angle measures x.
The other angle measures 29.2 deg less than x, so it measures x - 29.2.
They are supplementary angles, so the sum of their measures is 180 deg.
x + x - 29.2 = 180
2x - 29.2 = 180
2x = 209.2
x = 104.6
x - 29.2 = 75.4
Answer: 104.6 deg, 75.4 deg
Answer:
7:6
Step-by-step explanation:
yan ng sagot dont forget to heart
