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cupoosta [38]
3 years ago
9

I know how to do this but I just want to spend some points. :)

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer:

confused........ can you do details

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Specify the set of all integers that are congruent to 5 (mod 7) using (a) the roster method and (b) set-builder notation
IrinaVladis [17]

Answer:

(a) A = {... -23, -16, -9, -2, 5, 12, 19, 26, ....}

(b) A = {x\in Z: x = 5 - 7t,\ t\in Z}

Solution:

For two integers x and y to be congruent, we know that:

If 't' divides y - x, we say that x is congruent to y modulo t, written x ≡ y mod t.

Now,

In roster form, we include each element in the representation of the set.

In set-builder form, we use mathematical notation and properties of the elements of the set.

Now,

As per the question;

(a) To represent all the integers congruent to  5 (mod 7) by roaster method of a set A (say):

where

x\in Z such that

x ≡ 5 (mod 7)

Then

A = {... -23, -16, -9, -2, 5, 12, 19, 26, ....}

(b) In set builder form,

A = {x\in Z: x = 5 - 7t,\ t\in Z}

4 0
3 years ago
Booker has 85 video games. He has 3 shelves to put the video games on. Each shelf can hold 40 games. How many more video games d
iris [78.8K]
Multiply 40 * 3 to find how many video games his shelves can hold (120).
Subtract 85 from 120 to find how many more video games he has room for.
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3 years ago
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Lan scores 5 out of 60 mark test.what is his score as a percentage to 1 decimal place
artcher [175]

Answer:

.1 approx.

Step-by-step explanation:

5/60 and x/100%

Cross multiplying...

5 x 100% = 5

5/60 ~= .1

( I dunno if I am right, so please check first.)

6 0
3 years ago
(I|HEEEEELP)At the city museum, child admission is
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3 years ago
Zamir needs to determine the height of the building
Svetach [21]

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = \frac{CD}{CE}

CD = CE × \frac{1}{2}

CD = \frac{29}{2}

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

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