Divide the irregular figure into rectangles
Area of rectangle = l * w
4 * 5 = 20 in^2
5 * 12 = 60 in^2
7 * 11 = 77 in^2
Add them together
20 + 60 + 77 = 157 in^2
(Sorry if the picture isn’t neat)
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
The second tree is 59.5 feet
tall. Given Two trees are growing
in a clearing. The first tree
Answer: 7
Step-by-step explanation:
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)
(b)
(c)
<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given
Solving (a):
B n C means common elements between B and C;
So:
So:
u means union (without repetition)
So:
Using the illustrations of u and n, we have:
Solve the bracket
Substitute the value of set C
Apply intersection rule
In above:
Solving A u C, we have:
Apply union rule
So:
<u>The equal sets</u>
We have:
So, the equal sets are:
and
They both equal to 
So:
Solving (b):
So, we have:
Solve the bracket
Apply intersection rule
Solve the bracket
Apply union rule
Solve each bracket
Apply union rule
<u>The equal set</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (c):
This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:
Solve the bracket
Similarly:
<em>They are not equal</em>
