795 x 6.52= 51.834
51.834 x 3= 155.502
Final answer 155.50
Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3
Imaginary numbers are taught in high school algebra, which I think imaginary numbers are taught in 10th or 11th grade.
Answer:
Option B.
Step-by-step explanation:
we know that
A <u>r</u><u><em>igid transformation</em></u> is a transformation that does not alter the size or shape of a figure.
The translation is a rigid transformation that produce congruent figures
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
therefore
The squares are congruent because translations are rigid transformations that preserve the length of the sides of the square
Answer:
B. m<3 = 100°
C. m<2 + m<4 = 80°
Step-by-step explanation:
Given that n is parallel to m, the following are the measure of each numbered angles:
m<1 = 60° (vertical angles are congruent)
m<2 = 20° (corresponding angles are congruent)
m<3 = 180 - (m<CAB + m<1) (sum of ∆)
m<3 = 180 - (20° + 60°)
m<3 = 100°
m<4 = 60° (corresponding angles are congruent)
Therefore, the following statements are TRUE:
B. m<3 = 100°
C. m<2 + m<4 = 80°
