Use the Pythagorean Theorem
6 feet and 14 feet are the "legs" and the ladder length is the hypotenuse.
hypotenuse^2 = 6^2 + 14^2
hypotenuse^2 = 36 + 196
hypotenuse^2 = 232
<span><span><span>hypotenuse = 15.2315462117
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ladder length = 15 feet
Source:
http://www.1728.org/pythgorn.htm
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Answer:
x = 10
m<A = 132 degrees
m<B = 48 degrees
Step-by-step explanation:
Supplementary = angles that make up 180 degrees
We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.
8x + 100 = 180
8x = 80
x = 10
I input 10 into the equations to solve for the measures of the angles
Slope = (y₂- y₁) / (x₂- x₁)
Points C( 3, -5) and D (6, 0) compare to (x₁, y₁) and (x₂, y₂)
Slope = (0 - -5) / (6- 3) = (0+5) / (3) = 5/3
Slope = 5/3
Equation of line given a slope and point, y - y₁ = m(x - x₁)
m = 5/3, let point C( 3, -5) = (x₁, y₁)
y - - 5 = (5/3) (x - 3)
y + 5 = (5/3)(x - 3)
3(y + 5) = 5(x - 3)
3y + 15 = 5x - 15
3y = 5x - 15 - 15
3y = 5x - 30
Hence the equation of the line is 3y = 5x - 30
Answer:
Step-by-step explanation:
we would like to factor the following:
let a²+b²=x
thus substitute:
rewrite the middle term as 4x-22x:
factor out x:
factor out -22:
group:
substitute back:
and we are done!
Answer:
11.6929451 %
Step-by-step explanation:
Take the amount of the tip over the total amount to find the percent left
10.16/86.89 =
.116929451
Multiply by 100 to put in percent form
11.6929451 %
