Answer:
First lets find the area of the bottom circle:
7.2 is your radius so:
7.2^2 = 51.84 the reason why you square your radius is because thats apart of the formula when finding the are of a circle.
lets continue:
51.84 x 3.14(pi) = 162.7776
Now we need to find the area of the round surface but first we need to find the circumference of one circle and multiply it by the height.
2 x 3.14 x 7.2 = 45.216
Now lets multiply it by the height:
45.216 x 17 = 768.672
Now lets add both areas:
768.672 + 162.7776 = 931.4496 dont forget to round to the nearest hundredths place! 931.4496 rounded up = 931.45 square meters is your answer.
250*0.62= 155
155 pounds is your answer.
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
Answer: 6.05 units
Step-by-step explanation:
<em>Correct question is:</em>
<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
Answer:
[- 4, ∞ )
Step-by-step explanation:
the expression inside the radical must be greater than or equal to zero
x +4 ≥ 0 ⇔ x ≥ - 4
domain: x ∈ [- 4, ∞ )
