Answer:
-5/3
Step-by-step explanation:
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:
Jill make $18 on Wednesday
Step-by-step explanation:
Given :Jill is selling lemonade for $1.50 per cup on Tuesday.
To Find :On Wednesday she is selling the lemonade for the same price and sells 12 cups. How much money did she make on Wednesday?
Solution:
Jill is selling lemonade for $1.50 per cup on Tuesday.
Cost of 1 cup of lemonade = $1.5
Cost of 12 cups of lemonade = 
Hence She make $18 on Wednesday
Answer:
is the value of x. Step-by-step explanation: We have been given the two terms which are equivalent means they have equal value: and . So, by the given information: we have to solve for x: Firstly, we will cross multiply so, we will get: After simplification we will get the final result is the value of x.
Step-by-step explanation:
9514 1404 393
Answer:
1372π/3 cm^3 ≈ 1436.8 cm^3
Step-by-step explanation:
The diameter and height of the cylinder are both 14 cm. The resulting solid will be a 14 cm sphere. Its volume is ...
V = 4/3πr^3 = 4/3π(7 cm)^3 = 1372π/3 cm^3 ≈ 1436.8 cm^3
