Answer:
x=2.5&.5
Step-by-step explanation:
The quadratic formula is (-b+or-sqrt(b^2-4ac)/2a
12+or-sqrt((-12^2)-4(4)(5))
12+or-sqrt(144-80)
12+or-sqrt(64)
(12+8)/8 and (12-8)/8
x=2.5 and x=.5
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Answer:
area = 22,272
Step-by-step explanation:
area = length * width
to calculate the width, we need the first segment using the pythagorean theorem
length = 116 + 140 = 256
so
area = 87 * 256 = 22,272
Answer:
100
Step-by-step explanation:
both the percentage and the money have the same number, and there's always 100% so it'd be 100 before the tip
Answer:
I think the other angles are 40 degrees excpet the "x" which is 100 also
Step-by-step explanation:
