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3 years ago

A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

6 0

Answer:

Please show the table I cannot help with no info!

Step-by-step explanation:

Crank3 years ago

4 0

Answer:

and what are the numbers there bud

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

Plllllllease helpppppp

Anna007 [38]

Answer:

Step-by-step explanation:

b/c we know that these triangles both have equal sides... that is given that ab and be are the same length. and that be and cd are parallel , we know that they both are isosceles triangles and that the base angles are the same. The side on ad and ae have equal angles.

so we can make the equation

2a +56 = 180 (b/c we know that around a triangle it's 180°

2 a = 124

a = 62

so ∠ BAE = 62°

3 0

3 years ago

Raymond can paint 5/8 of a wall in 16 minutes. How long would it take to for him to paint 1/3 of a wall

Juliette [100K]

Answer: 128/15 min or 8.5 min

right

trust

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mama

this

correct

5 0

3 years ago

David hikes 2 ¼ miles in ½ an hour at this rate, how long will it take him to walk 18 miles?

8090 [49]

So in 30 min will hike 2 1/4 miles =9 of those 1/4 miles therefore in 10 min will hike 9/3 =3 of those 1/4 miles = 3/4 of a mile

3/4 mile in 10 min;
(3/4)• 4 = 3 miles in 40 min;
6 miles in 80 min;
9 miles in 120 min;
12 miles in 160 min;
15 miles in 200 min;
18 miles in 240 min or 4 hours

5 0

3 years ago

Being timed need help

andreyandreev [35.5K]

Answer:

it is the last option right isosceles

6 0

3 years ago

Read 2 more answers