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2 years ago

Can y’all help me with this plz

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

4 0

Answer:

Step-by-step explanation:

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cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

In the diagram, point X is the centroid. If<br> EX=8, what is the length of XC ?

Phoenix [80]

Answer:

Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

7 0

2 years ago

Any answers I need help

natulia [17]

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

$(5*21)=105\\105-15=90$

6 0

2 years ago

Read 2 more answers

How do i find the solution or can you help me find it please

Verizon [17]

remember, you can do anything to an equation as long as you do it to both sides

we can do a subsitution

y=x+6

y=-7x-10

since y=x+6, we can subsitute x+6 for y in the other equation

y=-7x-10

x+6=-7x-10

add 7x to both sides

8x+6=-10

minus 6 from both sides

8x=-16

divide both sides by 8

x=-16/8=-2

the valu eof x that satisfies both equations is x=-2

8 0

3 years ago

Read 2 more answers

Help.please ASAP will mark brainliest !!!

kupik [55]

The answer is D because if you continue the pattern the bottom number would have to be 8 and the top would have to be 7!!

8 0

3 years ago