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Doss [256]
3 years ago
12

How much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exa

ctly 2 inches?

Mathematics
1 answer:
nignag [31]3 years ago
5 0
Notice the picture below

so...  a cube has all sides equal, so is just a rectangular prism with equal sides
and a rectangular prism is just 6 rectangles stacked up to each other at the edges

now, notice in the graph at the bottom, one of the rectangles with a thickness of 2inches

so... just get the volume of each, and add them up, that's how much metal is needed

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A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
3 years ago
The line l passes through the point P = (1,-1,1) and has direction vector d = [2,3,1]. Determine whether l and the plane 4x-y+5z
suter [353]
Hello : 
the normal vector of the plane is : d' = [4,-1,5]...(vector  perpendicular to the plane)<span>
d </span><span>⊥ d' because : (4)(2)+(-1)(3)+(5)(1)=0
</span>the line is perpendicular to the plane .
3 0
3 years ago
Fatheya purchased a prepaid phone card for $25. Long distance calls cost 12 cents a minute using this card. Fatheya used her car
Pachacha [2.7K]

Answer:

22 minutes

Step-by-step explanation:

First you take away the original amount away from the remaining amount.

$25 - $22.36 = $2.64

Then you take that number and divide it by the cents per minute.

$2.64 ÷ 12 = 0.22

Then that's your answer!

Her call lasted 22 minutes.

7 0
3 years ago
The best definition for the following phrase: combining like terms
Inessa05 [86]
Combining like terms would be defined as multiplying each term in a set of parentheses by the number outside of the parentheses.
4 0
3 years ago
The 5 in 6.052 has 1/10 the value of the 5 in ? Please explain
zepelin [54]
The tenths place, starting from the right, it gets higher going to the left. so the tenths place is only ten times greater than it.
6 0
3 years ago
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