If r(x<span>) = 2 – </span>x2<span> and </span>w(x<span>) = </span>x<span> – 2, what is the range of </span><span>?</span>
I just answered this question. Here's my answer
Given:
Perimeter of KLMN = 42
h1 = 5
h2 = 6
Based on the given figure here are my assumptions.
1) KLMN is a parallelogram
2) h1 and h2 are long legs of right triangles.
3) the right triangles are similar but not congruent.
Perimeter of a parallelogram = 2(a+b)
a = KL ; b = LM
Area of a parallelogram = bh
b = LM ; h = h1
We need to find the values of a and b to solve for the Area of KLMN.
LM and KL are hypotenuse of its own right triangle. Similar triangle means that their proportion are equal.
P = 2(a+b)
42 = 2(a+b) → 42/2 = a+b → 21 = a + b → 21 - a = b
hypotenuse/long leg
a/5 = b/6 → a/5 = (21-a)/6 → a*6 = 5(21-a) → 6a = 105 - 5a
6a + 5a = 105 → 11a = 105 → a = 105/11 → a = 9.55
b = 21 - a → b = 21 - 9.55 → b = 11.45
Area of parallelogram = bh
A = 11.45 * 5
<span>A = 57.25 square units.</span>
For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
Answer:
2727
Step-by-step explanation:
The formula for finding the volume of a cone is
1/3πr²h
The radius would be 11.5 because, radius equals the diameter divided by two.
So, first you would plug your numbers into the equation
1/3(π)(11.5)²(19.7)
*use 3.14 for pi
Then multiply.
V = 2726.9 (2727 if you round to the nearest whole number)