Answer:
45 is the answer
Step-by-step explanation:
first you have to know the sum of interior angle of that pentagon (540)
then add the all angle.
148 + x + 112 + 90 + 3x + 10 = 540.
or, 360 + 4x = 540
or, 4x = 540 - 360
or, 4x = 180
or, x = 180/4
or, x = 45
hope it will help you☺✌
I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
The parent function is f(x) = x^3 with domain = all real numbers and range = all real numbers.
The given function is f(x) = x^3 - 2 with domain = all real numbers and range = all real numbers.
Answer:
13.6 g/ml
Step-by-step explanation:
Density is found by mass divided by volume
The mass is 306.0 and the volume is 22.5 ml
density = 306.0/22.5 =13.6 g/ml
We have 3 sig figs which is correct
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
