Answer:
d = 
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = 
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = 
Answer: -6
Multiply 3 by -2 first =-6 inside brackets
Original 6 inside brackets plus -6 from performing multiplication problem inside the brackets equals 0, so you now have 0 minus the original -6 which equals -6 overall
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find the angles of any shape with all sides equal in length, we use the formula:
, where n is the number of sides
For a pentagon, we get the equation:


Thus the measure of each in a pentagon if the lengths of all five sides are equal is 108 degrees.
Hope that helps!
Answer:
x = -4
Step-by-step explanation:
-24 = 6x
________
Switch sides:
6x = -24
________
Divide both sides by 6:
6x/6 = -24/6
________
Simplify:
X = -4