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3 years ago

What is the area of Georgia rounded to the nearest square mile, The is square mile as 59,424.77?

Mathematics

1 answer:

bazaltina [42]3 years ago

7 0

Answer:

59,425 sq mi

Step-by-step explanation:

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.

This gives you 59,424 +1 = 59,425.

_____

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.

... 59,424.3 ⇒ 59,424 . . . . . for example

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How many whole cans can the company make out of each sheet of metal?

klio [65]

Answer:

Step-by-step explanation:

Total Surface Area of the Metal Sheet = $1000\:in^2$

Given a cylinder with diameter 3 Inch and height $4\frac{1}{4} in$

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder = $2\pi r^2+2\pi rh$

Radius =3÷2=1.5 Inch

Height of the can = $4\frac{1}{4} in$

<u>Total Surface Area of each can </u>

$2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2$

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

$=1000 \div 17.25\pi\\=18.45$

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0

3 years ago

Which equation describes a line perpendicular to the line described by? y=3x-5

Nat2105 [25]

A line perpendicular means that the slope is the negative reciprocal of the slope given. Since m=3 in the given equation, the slope in the perpendicular line has to be m = -1/3. The y-intercept can be any number.

So a line perpendicular would be y = -1/3x + b

Since you can plug anything into b, you can get many different answers. For example, y = -1/3x + 7 or y = -1/3x - 2

4 0

3 years ago

line J passes through points (-6,1) and (-3,6) . Line m is parallel to line j and passes through point (15,-1).what is the equat

VMariaS [17]

Slope of the line J
(6-1) / (-3-(-6))
5 / 3

so
m = 5/3

If this line passes through (15,-1)
y = mx + c
-1 = (5/3)*15 + c
-1 = 25 + c
c = -26

equation is
y = (5/3)x - 26

7 0

3 years ago

Find the slope of the line containing the given points

Luden [163]

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

= (-3-6)/(9-1)