Answer:
Step-by-step explanation:
Number of vertices
3
Variable constraints
a>0 and b>0
Diagonal lengths
(data not available)
Height
b
Area
A = (a b)/2
Centroid
x^_ = (a/3, b/3)
Mechanical properties:
Area moment of inertia about the x-axis
J_x invisible comma x = (a b^3)/12
Area moment of inertia about the y-axis
J_y invisible comma y = (a^3 b)/12
Polar moment of inertia
J_zz = 1/12 a b (a^2 + b^2)
Product moment of inertia
J_x invisible comma y = -1/24 a^2 b^2
Radii of gyration about coordinate axes
r_x = b/sqrt(6)
r_y = a/sqrt(6)
Distance properties:
Side lengths
a | sqrt(a^2 + b^2) | b
Hypotenuse
sqrt(a^2 + b^2)
Perimeter
p = sqrt(a^2 + b^2) + a + b
Inradius
r = 1/2 (-sqrt(a^2 + b^2) + a + b)
Circumradius
R = 1/2 sqrt(a^2 + b^2)
Generalized diameter
sqrt(a^2 + b^2)
Convexity coefficient
χ = 1
Mean triangle area
A^_ = (a b)/24
Answer:
The utilization rate for Southeastern = 68.6%
Step-by-step explanation:
The utilization rate is the number of students taking the course divided by the highest enrollment possible.
In this problem, we have that:
1450 students taking the course.
Capacity to handle an enrollment of 2100 students
Utilization rate
1450/2100 = 0.686
The utilization rate for Southeastern = 68.6%
The expression as a power is x¹⁰.
Given, the expression is xx⁴x⁴x
In exponents we have the power rule while multiplying.
the rule is that when bases are same, powers are added.
Exponent multiplication is the process of multiplying two terms with exponents. Depending on the base and the power, specific rules apply when multiplying exponents.
⇒ xx⁴x⁴x
base is same, power should be added.
⇒ x¹⁺⁴⁺⁴⁺¹
= x¹⁰
Hence the expression as a power is x¹⁰.
Learn more about Exponents here:
brainly.com/question/11975096
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A.
0.5 and 1/3 is rational.
Rational times rational is rational.
