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Softa [21]
3 years ago
10

Choose the correct solution in roster form.

Mathematics
2 answers:
Digiron [165]3 years ago
5 0
The first one is d and the second one is b
Sav [38]3 years ago
4 0

Mathematically speaking, roster form of a set is a list of elements that are in the set.

Basically, to represent a set in roster form, we simply list the elements of the set, separated by commas, within braces.

as per the question, consider the set, S, described verbally:

   S = {all prime numbers less than 15}

To write this in roster form, we would first identify all the elements in the set. Let's see. . . the integers that are strictly greater than 0 and less than or equal to 4 would be the integers that are between 0 and 4, not including 0, but including 4, so 1, 2, 3, and 4.

Now we just write these integers, separated by commas, within braces.

S = {2, 3, 5, 7, 11, 13}. So answer is option A

Set notation is a representation of a set of the form {element | properties of that element}.

To represent the inequality in set builder notation, we will first have to solve for the inequality as follows:

9t - 4 >32

Step 1: Add 4 on LHS(Left hand side) and RHS(right hand side) of the inequality.

9t > 36

Step 2: Divide LHS and RHS by 9

t > 4

This means that the inequality holds for all values of t greater than 4 i.e.

{ t | t > 4 }. so answer is option A


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olchik [2.2K]

As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.

In order to solve for x we can set up the proportion between the horizontal and vertical sides:

28\div 11.2 = 27+x \div x

Solving this proportion for x implies x=18

Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

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Then, we know that the hypothenuse of the big triangle is m+p, so we have

m+p=\sqrt{(18+27)^2+28^2} = 53

which implies

p = 53-p = 53-21.2=31.8

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Answer:

B

Step-by-step explanation:

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Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27

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