Answer: C) Contrapositive
The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table.
Answer:
(a)
Shortest Side of the trapezoid =6 yds
Longest Side =8 yds
(b)42 Square Yards
Step-by-step explanation:
<u>Part A</u>
In the Trapezoid, Width =6 yd
Since the shortest side of the playground and its width have the same dimension, then:
- Shortest Side of the trapezoid =6 yd
<u>Part B</u>
Area of the Playground
In the trapezoid
a=6 yd, b=8 yd, h=Width=6 yd
Area of a trapezoid
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The answer is <span>B. y = x^3 + 4x^2 + 2x - 2
A line that passes through all given point is the correct choice. Now, substitute x and y in all of the choices:
</span>B. y = x³ + 4x²<span> + 2x - 2
Point 1: </span><span>(-2, 2)
x = -2
y = 2
____
2 = (-2)</span>³ + 4 *(-2)² + 2 * (-2) - 2
2 = -8 + 4 * 4 + (-4) - 2
2 = -8 + 16 - 4 - 2
2 = 2
_____
Point 2: (-1, -1)
x = -1
y = -1
____
-1 = (-1)³ + 4 *(-1)² + 2 * (-1) - 2
-1 = -1 + 4 * 1 + (-2) - 2
-1 = -1 + 4 - 2 - 2
-1 = -1
____
Point 3: (1, 5)
x = 1
y = 5
____
5 = (1)³ + 4 *(1)² + 2 * 1 - 2
5 = 1 + 4 * 1 + 2 - 2
5 = 1 + 4 + 2 - 2
5 = 5
____
Point 4: (3, 67)
x = 3
y = 67
____
67 = (3)³ + 4 *(3)² + 2 * (3) - 2
67 = 27 + 4 * 9 + 6 - 2
67 = 27 + 36 + 6 - 2
67 = 67
So, line B passes through all choices.
Alright, lets get started.
We have given a circle which has 56 cm radius.
We are asked to find its circumference.
The formula for circumference of circle = 2 pi r
Putting the value of pi and r
So the circumference = 2 * 2.142 * 56
Simplifing
Hence the circumference of circle = 351.9 cms
Answer is 351.9 cm
Hope it will help :)
A. population in 1975 ........................
