The equation used to find the width of the garden in feet is 350 x w = 82520 Hence Option 1 is correct
<u>Solution:</u>
Given that area of rectangular park = 82,520 square feet
Length of rectangular park = 350 feet
Width of rectangular park in feet is represented by variable w.
Need to identify correct expression from given expressions which can be used to get value of variable w , width of park.
As area of rectangle = length x width
so area of rectangular park = length of the park x width of the park
On substituting the given values of area , length and width as variable w is above formula we get
82520 = 350 x w
=> 350 x w = 82520
Hence first expression that is 350 x w = 82520 can be use to find width w of the garden in feet.
Total of $33.53 with tax included without tax is $31.26
Answer:
Verify the following identity:
sec(x) sin(x) + csc(x) cos(x) = tan(x) + cot(x)
Write cotangent as cosine/sine, cosecant as 1/sine, secant as 1/cosine and tangent as sine/cosine:
1/cos(x) sin(x) + 1/sin(x) cos(x) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
(cos(x)^2 + sin(x)^2)/(cos(x) sin(x)) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
((cos(x)^2 + sin(x)^2)/sin(x))/cos(x) = ^?(cos(x)^2 + sin(x)^2)/(cos(x) sin(x))
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Step-by-step explanation:
Answer:
No, to be a function a relation must fulfill two requirements: existence and unicity.
Step-by-step explanation:
- Existence is a condition that establish that every element of te domain set must be related with some element in the range. Example: if the domain of the function is formed by the elements (1,2,3), and the range is formed by the elements (10,11), the condition is not respected if the element "3" for example, is not linked with 10 or 11 (the two elements of the range set).
- Unicity is a condition that establish that each element of the domain of a relation must be related with <u>only one</u> element of the range. Following the previous example, if the element "1" of the domain can be linked to both the elements of the range (10,11), the relation is not a function.