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3 years ago

1. Find the perimeter of the figure. Each unit is 1 centimeter

Mathematics

1 answer:

Oxana [17]3 years ago

8 0

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

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What is the median of 60 57 53 78 44 51 please help and thank u

maksim [4K]

To find the median cancel out numbers on both sides, until one is left in the middle and if there are two in the middle add them up and divide by two.

So in this case the median is
53+78
131 / 2
65.5

8 0

3 years ago

Read 2 more answers

What is the greatest common factor of 12x 16x 8x

slega [8]

Answer:

Step-by-step explanation:

The Factors of 12

1,12, 2,6 3,4

1,16 2,8 4,4

1,8 ,2,4

The highest factor they share is 4 so it would be the GCF. Then you would have to add the x back into the GCF

Hope It helped

8 0

3 years ago

Please help ASAP!!!!!!!!!!!

Effectus [21]

Answer:

x = 3.76 ft

Step-by-step explanation:

To find the missing side, "x", solve using proportions.

In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the scale factor, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).

Therefore, if you divided the pairs of corresponding sides, they would be equal.

From the diagram, you can tell that the following sides correspond:

CB ~ GF

AB ~ EF

Use the proportion

$\frac{EF}{AB} = \frac{GF}{CB}$

$\frac{x}{6ft} = \frac{3.3ft}{5ft}$ Substitute values from diagram

$6ft*\frac{x}{6ft} = 6ft*\frac{3.3ft}{5ft}$ Multiply both sides by 6 ft

$x = \frac{6ft*3.3ft}{5ft}$ "x" is isolated. Multiply fraction by combining into numerator

$x = \frac{19.8ft}{5ft}$ Solved numerator. Divide for decimal answer.

$x = 3.76ft$

The value of 'x' is 3.76 ft.

4 0

2 years ago

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for h:

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for h.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

3 years ago

40 is 60% of what number?

11111nata11111 [884]

40(60/100) 4(6/10) =24/10 = 2.4

4 0

2 years ago

Read 2 more answers

1. Find the perimeter of the figure. Each unit is 1 centimeter​

1. Find the perimeter of the figure. Each unit is 1 centimeter