Answer:
?/????????
Step-by-step explanation:
Answer:
0.65
Step-by-step explanation:
To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.
5^2 - 6^2
is the difference of 2 squares
and = (5-6)(5+6) = -11
Answer:
r = 10 cm
Step-by-step explanation:
r² = 8² + 6²
r² = 64 + 36 = 100
r = 10 cm
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>
