Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
The total length of a line segment is the sum of the lengths of its parts.
MQ = MK + KQ . . . . . . express the relationship between the segments
15 in = 7 in + KQ . . . . . fill in the given information
(15 - 7) in = KQ . . . . . . .subtract 7 in
KQ = 8 in . . . . . . . . . . . simplify
The measurement of KQ is 8 inches.
It's called the "dividend". A dividend is a number to be divided by another number. The 3 is the divisor, a number by which another number is to be divided.
Answer:
The answer to your question is Volume = 27.5 ft³
Step-by-step explanation:
Data
Volume = ?
height = 3.9 ft
Circumference = 16.3 ft
Process
1.- Calculate the radius of the Cone
Circumference = 2πr = 16.3 ft
-Solve for r
r = 16.3/2π
r = 16.3/6.28
r = 2.5955 ft
2.- Calculate the volume
Volume = 1/3πr²h
-Substitution
Volume = 1/3(3.14)(2.5955)²(3.9)
-Simplification
Volume = 1/3(82.4966)
-Result
Volume = 27.5 ft³
The Method is that you add 1 block horizontally to the 2nd row of the figure every time you make a new one.
