117 and 413 have no common denominator, so 117/413 is it's simplest form
Answer:
Mass of gold bar = 13.896 kg
Step-by-step explanation:
Volume of gold bar = Area of trapezium x Length of bar
Length of bar = 16 cm
Area of trapezium = 2 x Area of triangle + Area of rectangle
Area of triangle = 0.5 x 5 x 3 = 7.5 cm²
2 x Area of triangle = 2 x 7.5 = 15 cm²
Area of rectangle = 6 x 5 = 30 cm²
Area of trapezium = 15 + 30 = 45 cm²
Volume of gold bar = 45 x 16 = 720 cm³
Density of gold = 19.3 g/cm³
Mass of gold bar = 720 x 19.3 = 13896 g = 13.896 kg
Mass of gold bar = 13.896 kg
Answer:
Kindly check explanation
Step-by-step explanation:
Experiment of tossing a coin twice :
A.) Experimental outcome:
Head = H ; Tail = T ;
Head and Head = HH
Tail and Tail = TT
Head and Tail = HT
Tail and Head = TH
Number of head(s) on toss = z
C)
Experimental outcome ___number of heads(z)
HH _____________________2
TT _____________________ 0
TH _____________________ 1
HT _____________________ 1
D) the random variables defined are discrete because they are only take up integer values within a specified range
Answer:
5.8m-11.6m
Step-by-step explanation:
Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.
2x=120-2y
x=60-y
2y=120-2x
y=60-x
Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)
