Answer:
a = 132 ft^2
Step-by-step explanation:
Area of triangle
a = (1/2)bh
---------------------------
Base
a = (1/2)(8)(6)
a = 24 ft^2
----------------------
Each side
a= (1/2)*(8)(9)
a = 36
All three sides
a = 36 * 3
a = 108 ft^2
-----------------------
Total area
a = 24 + 108
a = 132 ft^2
<span>The pair of integers that I chose are:
(a) sum is –3
5 + (-8) = -3
(b) difference is –5
2 - 7 = -5
(c) difference is 2
14 -12 = 2
(d) sum is 0
2 - 2 = 0</span>
Answer:
1+1=2
Step-by-step explanation:
Answer:
Answer is 79 and 28
Step-by-step explanation:
Let two numbers be x and y.
x + y = 107. --> 1
x - y = 51 -->2
solving above equations,
2x = 158
x =79
y = 28
Answer:
Logic with the use of Truth Table
Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R
b)i) Oleg is a math major or Oleg is an economic major:
P║ Q ║ P∨Q
T T T
T F T
F T T
F F F
ii) Oleg is a math major, then Oleg is required to take Math 362:
P║ R ║ P∧ R
T T T
T F F
F T F
F F F
iii) Oleg is an economic major or Oleg is not required to take Math 362:
Q║ ←R ║ Q ∨ ←R
T T T
T F T
F T T
F F F
c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.