Answer:
The length of the rectangular park is 
and the width of the rectangular park is 
Step-by-step explanation:
Let
x ----> the length of the rectangular park
y ---> the width of the rectangular park
we know that
The perimeter is equal to
so
-----> equation A
----> equation B
substitute equation B in equation A and solve for y
Find the value of x
therefore
The length of the rectangular park is and the width of the rectangular park is
Answer:
Step-by-step explanation:
you know ; for all reals a ; cos(π/2 - a) = sin(a)
so : sin(5x+15) = cos(π/2-(5x+15) ) = cos(π/2-5x-15)
sin(5x+15)=cos(4x−6) eqivaut : cos(π/2-5x-15) = cos(4x−6)
note : cos(a)=cos(b) : a= b +2kπ or a= - b +2kπ ....k in Z
π/2-5x-15 = 4x−6 + 2kπ or π/2-5x-15 = - (4x−6) + 2kπ....k in Z
continue calculate : x .......
<h3>Given</h3>
1 (female) pharmacist counting prescriptions at the end of the day
(prescriptions for antibiotics) = (7/4)×(prescriptions for tranquilizers)
33 = (prescriptions for tranquilizers) + (prescriptions for antibiotics)
<h3>Find</h3>
The number of (prescriptions for tranquilizers)
<h3>Solution</h3>
Let <em>x</em> represent the number of <em>prescriptions for tranquilizers</em>. Then the number of prescriptions for antibiotics is (7/4)x, and the total number of prescriptions is
... 33 = x + (7/4)x . . . . . . . . . . put the given information in the given relation
... 33 = (4/4)x + (7/4)x . . . . . . rewrite 1 as 4/4 so we can add to 7/4
... 33 = ((4+7)/4)x = (11/4)x . . . simplify
... 33×(4/11) = (4/11)×(11/4)x . . . multiply by the reciprocal of the coefficient of x
... 12 = x . . . . . . . . . . . . . . . . . simplify
The pharmacist had 12 prescriptions for tranquilizers.
The pharmacist had 33-12 = 21 prescriptions for antibiotics.
There was 1 pharmacist and 33 prescriptions.
Given the following points:
Point P: (-4, 3)
Point Q: (9, 14)
To be able to find the midpoint of the line segment, we will be using the following formula:
We get,
Therefore, the midpoint of the line segment is 5/2, 17/2.
