Let
x----------> <span>the length of the room
y----------> </span><span>the width of the room
we know that
x*y=120---------> equation 1
y=(5/6)x--------> equation 2
substitute 2 in 1
x*[(5/6)x]=120------> (5/6)x</span>²=120-----> x²=120*6/5-----> x²=144
<span>x=12 ft
y=(5/6)*12-----> y=10 ft
the answer is
</span><span>the dimensions of Kamal’s bedroom are
</span>the length of the room is 12 ft
the width of the room is 10 ft<span>
</span>
Answer:
68 is 85% of 80
Step-by-step explanation:
Answer: (-∞,∞)
Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.
The length of the curve
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function

Evaluate

The length of the curve is calculated using:

This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand

This gives

Express as a perfect square

Evaluate the exponent

Differentiate

Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
#SPJ1
Answer:
11 units
Step-by-step explanation:
To calculate CD use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(- 4, 6) and (x₂, y₂ ) = D(- 4, - 5)
CD = 
= 
=
=
= 11