price after discount- $44-$11=$33
amount of tip- $4.95
bill after discount and tip- $37.95
amount of tax- $2.83
total bill- $40.78
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:
The result - 1225π shows that the cylinder can be filled fully with that given amount.
Since the price is increasing by percentage, rather than a constant rate, we will be using the exponential equation format, which is y=ab^x (a = initial value, b = growth/decay)
Since the value was $590 in the year 2000, 590 will be our a variable.
Since the value is *increasing* by 35%, add 1 and 0.35 (35% in decimal form) together to get 1.35. 1.35 is going to be your b variable.
Putting our equation together, our equation is f(x) = 590(1.35)^x
Answer:
X= -0.1290 (bar line on top of the 90)
Hope this helps!
Step-by-step explanation:
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3
