Answer:
All men are mortal. Joe is a man. Therefore Joe is mortal. If the first two statements are true, then the conclusion must be true.[2]
Bachelors are unmarried men. Bill is unmarried. Therefore, Bill is a bachelor.[3]
To get a Bachelor’s degree at Utah Sate University, a student must have 120 credits. Sally has more than 130 credits. Therefore, Sally has a bachelor’s degree.
Two rectangles. Left: General Principle. Right: Special Case. An arrow pointing left to right above them is labeled "deductive reasoning." An arrow pointing right to left below them is labeled "inductive reasoning."
Step-by-step explanation:
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:
D : { -3, 3, 12}
Step-by-step explanation:
I would suggest substituting the range for the function and solving for x like so.
i.e -6 = 1x-3, -6 + 3 = 1x -3 + 3, -3 = x, <u>x = </u><u>-</u><u>3</u><u>.</u>
0 = 1x - 3, 0 + 3 = 1x - 3 + 3, 3 = x, <u>x = 3</u><u>.</u>
9 = 1x - 3, 9 + 3 = 1x -3 + 3, 12 = x, <u>x = 12</u>
1. X< 15
2. 8n+3n > 20
3. yz <= 10
4. X-9 < 18
5. B-6 < 12
