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Nat2105 [25]
3 years ago
7

Will GIVE 200 Points!!! NEED HELP ASAP!!!! PLEASE HURRY AND HELP!!! For the given statement, write the converse, inverse, and co

ntrapositive.
If a figure is a cube, then it has eight vertices.
Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let

  • statement p be "A figure is cube.";
  • statement q be "A figure has 8 vertices."

Then the statement  "If a figure is a cube, then it has eight vertices"  can be written as

p\Rightarrow q

Converse (q\Rightarrow p): If a figure has eight vertices, then it is a cube.

Inverse (\neg p\Rightarrow \neg q): If a figure is not a cube, then it has not eight vertices.

Contrapositive (\neg q\Rightarrow \neg p): If a figure has not eight vertices, then it is not a cube.

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A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the
Eddi Din [679]

Answer:

10 ft²

Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

Volume = Base Area x Height

In our case we are given

Volume = 15 ft³ and Base Area = 1.5 ft

Substituting these known values into the formula gives:

Volume = Base Area x Height

15 = Base Area x 1.5

Base Area = 15 / 1.5

Base Area = 10 ft²

7 0
3 years ago
Factor 4k^2-49 and m^3+3m^2-4m-12
NNADVOKAT [17]
<span> m = 3 m = 2 m = -2 </span><span>Factor 4k^2-49 and m^3+3m^2-4m-12</span>
7 0
3 years ago
8,000 of 2ounces how many make 16 ounces
yan [13]
1,000 I guess I don't really understand the question
HAPPY THANKSGIVING!
7 0
3 years ago
Read 2 more answers
Help me with this please
alina1380 [7]
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40 
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y 
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x. 
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair. 
6 0
3 years ago
Help me solve this problem
eduard

Answer:

b.   (-1, 5)

Step-by-step explanation:

Since the first equation is already solved for y, we can use substitution.

Substitute y in the second equation with 3x + 8.

5x + 2y = 5

5x + 2(3x + 8) = 5

5x + 6x + 16 = 5

11x = -11

x = -11/11

x = -1

Now substitute x in the first original equation by -1 and solve for y.

y = 3x + 8

y = 3(-1) + 8

y = -3 + 8

y = 5

Answer: (-1, 5)

8 0
1 year ago
Read 2 more answers
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