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makkiz [27]
3 years ago
7

One of the corners of a cube is sliced off. The resulting cross section will have a minimum of how many sides?

Mathematics
2 answers:
MakcuM [25]3 years ago
4 0
3, because you cut a corner, you cut through where 3 sides meet.

3 sides
wel3 years ago
4 0

Answer:

The resulting cross-section will have a minimum of three sides.

i.e. a triangle will be formed.

Step-by-step explanation:

Because on cutting a cube along the corner we will obtain a triangle and thus a triangle has three sides.

Hence, the resulting cross section will have minimum of three sides.

( Also we can obtain many other figures on slicing a cube in different ways.

If we slice a cube parallel to the base we will obtain a square.

when we  will slice the cube to it's diagonal we will obtain a rectangle.

and in many other ways)

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Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that c
lutik1710 [3]

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

3.25+(5.99\times 0.04x)\leq 10

0.2396x\leq 10-3.25

0.2396x\leq 6.75

Divide both sides by 0.2396.

x\leq \dfrac{6.75}{0.2396}

x\leq 28.172

The maximum integer value of x is 28.

Therefore, the required inequity is 3.25+(5.99\times 0.04x)\leq 10 and 28 number of slices Paul can afford to buy.

6 0
3 years ago
List the 3-membered subsets of the set {1,2,3,4,5,6).
Alexxandr [17]
Look at the attachment. Hope it helps!

8 0
3 years ago
6. Find the product:<br> (x² + 8x - 3)(x + 1)
olga_2 [115]

Answer:

x^3+9x^2-3x^2-3

Step-by-step explanation:

You can use a various of methods but when you use the box method you multiply each separately.

Like you would multiply x² by x, 8x by x, -3 by x (thats the first row)

x² by 1, 8x by 1, -3 by 1 ( for the second row)

Then you get those final variables and combine like terms getting the answer above

8 0
3 years ago
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $
just olya [345]

Answer:

2.69≤x≤17.31

Step-by-step explanation:

Lety the amount in the other Piggy bank be x.

The difference in the amount of money between the two banks is no more than $10 is expressed as;

|x-7.31| ≤ 10

The value in the modulus sign can be positive or negative

If positive;

x-7.31 ≤ 10

x ≤ 10+7.31

x≤17.31

If negative

-(x-7.31) ≤ 10

-x+7.31 ≤ 10

-x ≤ 10-7.31

-x ≤ 2.69

Multiply both sides by -1

x ≥ -2.69

The compound inequality representing the amount of money in the other bank is -2.69≤x≤17.31

4 0
2 years ago
Help me now!! 16 points!!
stellarik [79]

Answer:

it's the fourth one

Step-by-step explanation:

Solve all the problems using exponent rules and the last one equals 632

6 0
2 years ago
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