Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Answer: 10 and 11, also -11 and -10
Sqrt 100 is well known to be 10
Sqrt 121 is 11
Step-by-step explanation:
Positive Sqrt is monotone increasing
So Sqrt 105 is between sqrt 100 and sqrt 121
Second answer
Sqrt 100 is less well known to also be -10
Negative sqrt is monotone decreasing
Sqrt 121 is also -11
Sqrt 105 is also between -121 and -100
If the next digit, which in this case is in the tens place, is a 5 or above then we know to round up.
Your answer is 5,503,600.
Hope this helps!
Answer:
The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08
Step-by-step explanation:
First of all we would have to perform the following table:
Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0
A 500 0.15 0.21 75 105
B 50 1.60 1.80 80 90
C 100 4.50 4.20 450 420
D 40 12.00 13.40 480 536
Total 1085 1151
Therefore, using laspeyres index number, we calculate the following:
laspeyres index number=(∑P1×Q0/∑P0×Q0)×100
laspeyres index number=(1151/1085)×100
laspeyres index number=106.08
Answer:
282.7 in³
Step-by-step explanation:
The solid is a cylinder
Volume of the cylinder = πr²h
Where,
radius (r) = 3 in.
height (h) = 10 in
Volume = π*3²*10
= π*9*10
= π*90
= 282.743339 ≈ 282.7 in³ (nearest tenth)
