Answer: 38
Step-by-step explanation:
Penny built a wooden ramp that rose 9 inches over a horizontal distance of 29 inches, as shown below.
Ramp
Length
9 inches
29 inches
Answer:
x=10
Step-by-step explanation:
4x-18=3x-8
4x-3x=-8+18
x=10
B ∪ (C' ∩ A)
Starting from the inside, C' ∩ A is the intersection of not C, which is everything except the circle C, and A. That's the part I shaded in bright blue.
That's unioned with B, which is just all of the circle B. I shaded the parts of B that I didn't already shade with a grey-blue.
These should all be the same shade; I just made them slightly different for explanation.
let's bear in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
so, let's do away with the denominators by multiplying both sides by the LCD of all fractions, in this case 6.

Answer:
Each of the legs of isosceles right triangle is 5
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have

2) Let BC=a and CA=a as they both are equal
So,

=> 
=> 
=>
(since √6*√6 = (√6)²= 6)
=> 
3) Dividing both sides by 2, we get

4) Cancelling out the 2's on the left, we get
= 75
5) Taking the square root on both sides, we have

=> a = 5
So,
Each of the legs of isosceles right triangle is 5