It is generally useful to use the formula. The procedure is to substitute the given values for the variables in the formula, then do the arithmetic.
... A = (1/2)r²·θ . . . . r is the radius, θ is the central angle in radians
Put the numbers in ...
... A = (1/2)(4 in)²·(π/3)
... A = 8π/3 in² ≈ 8.37758 in²
Answer:
p = -3
Step-by-step explanation:
-2 (p - 5) + 7p = -5
-2p + 10 + 7p = -5
5p = -15
p = -3
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>
Answer:
71 tadpoles
Step-by-step explanation:
Windstone rescued 54 on Friday.
Let the number rescued on Saturday =x
The number rescued on Friday is 17 less than the number he rescued on Saturday.
This is written as:
To solve for x, we add 17 to both sides of the equation
Windstone Rescued 71 tadpoles on Saturday
Binary number systems can be used in computer technology