The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
57960ft
Answer:
1 1/2
Step-by-step explanation:
I would recommend using a mixed fraction calculator by calculator soup it really helps me with fractions.
Answer: b) 6
Step-by-step explanation:
Given : The illuminance of a surface varies inversely with the square of its distance from the light source.
i.e. for d distance and l luminance , we have
, where k is constant. (1)
If the illuminance of a surface is 120 lumens per square meter when its distance from a certain light source is 6 meters.
From (1), we have
(2)
For the distance (d) corresponds to the illuminance to 30 lumens per square meter , we have

Put value of k , we get

Then , the number of meters should the distance of the surface from the source be increased= 12 meters- 6 meters = 6 meters.
Answer:
Width=9.5, Length=32.5
Step-by-step explanation:
Let x be the width of the rectangle,
The length is 4 feet more than 3 times the width,
The length= 3x+4
The perimeter is
2(x)+2(3x+4)=84
2x+6x+8=84
8x=76
x=76/8
x=9.5
The Width=9.5
Length= 3(9.5)+4=32.5
ANSWER
B. A(x)=0.5 (f .g)(x)
EXPLANATION
The area of a triangle is calculated using the formula:
Area=0.5 Base × Height
The base is given by
g(x)=2x
and the height of the function is

This implies that:
A(x)=0.5f(x) × g(x)
A(x)=0.5 (f .g)(x)