Answer:
V ≈ 1847.26
Step-by-step explanation:
<u>Circular Cone Formulas in terms of radius r and height h:</u>
The volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
The base surface area of a cone (a circle):
B = πr2
The total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Therefore, the solution
V = πr 2h
/ 3 = π·142·9/ 3 ≈ 1847.25648
8x-9y=19
4x+y=-7
Multiply all terms of the 2nd by (9)===> 36x + 9y= 63
add (36x 9y= 63) to the 1st ===> 44x+0y = -44 ===> x=-1
replace x by this value in any of the equation & you'll get y=-3
Answer: 681 square inch
Step-by-step explanation:
Hi, we have to apply the formula for the surface area:
A = 2wl + 2lh + 2hw
Where:
w: width
l: length
h: height
Replacing with the values given:
A = (2x12x18.25) + (2x12x3)+(2x18.25x3)
A= 438+72+109.25
A=619.5 in2
Since it has to be 10% more than the surface.
619.5 x (10/100) = 61.95 in2
Adding that value to the surface area
619.5+61.95 = 681.45in2 = 681 in2
Parallelogram so
CD = AB
18x - 5 = 15x + 4
3x = 9
x = 3
answer
x = 3
Answer:
Yes, the company can expect a profit in the long term
Step-by-step explanation:
In this question, we are to project if a company is expected to make a profit or loss given the information in the question.
Let’s use the scenario of 50 gadgets produced.
1 is expected to be faulty, while 49 is thus expected to work perfectly.
Now, on this 49 sold, there is an expectancy of $3 profit. Hence, this means that for a batch of 50 gadgets produced, the amount of expected profit will be 49 * 3 = $147
The amount that would be used to repair the faulty unit is $80. If we subtract this from the total expected profit, we have $147-$80 = $67
Hence, per 50 gadgets sold, a total of $67 in profit is to be expected
This means profit is expected in the long tey
