Answer:
18 x $2.35= $42.30
Step-by-step explanation:
multiply gallon by price of gas
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
Answer:
The area of the rectangle in terms of 'x' = 13x
Step-by-step explanation:
Using the perimeter formula to find the width w.
Dividing both sides by 2
as P = 30 cm
cm
Using the formula of the rectangle area
substitute w = 13 and l = x in the formula
Therefore, the area of the rectangle in terms of 'x' = 13x
Answer:
Radius = 1 in
then the volume of bubble = 4/3 π r^3
= (4/3 × 22/7 × 1) in^3 = 88/21 in^3
Hope it helps
