Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
Please use * to denote mult. here, not "x." "x" is your variable and cannnot also be a symbol for mult.
f(x)g(x) = 3x^3 - 5x^2.
Now let x = 3:
(f*g)(3) = 3(3)^3 - 5(3)^2 = 81-45 = 36 (answer)
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
The electric currents and magnetic materials have an
effect called magnetic field. This magnetic field is specified with its
direction and magnitude. The magnitude is the strength of the field.
the magnetic field at a distance r from a
long straight wire carrying current I can be calculated with the
equation:
B = μ I / 2 pi R
where <span>μ is a constant, I is the current and R is the radius. </span>