1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lesechka [4]
3 years ago
13

List the elements of the set, then indicate the cardinality of the set. HINT [See Example 2.] (Enter your answers as a comma-sep

arated list. Enter your answers from smallest to largest.) A = {k | k is a positive integer and 8 < k < 16}.
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

Elements of the set: 9,10,11,12,13,14,15

Cardinality of the set: 7

Step-by-step explanation:

Firstly the set describes that A contains the values of k which are positive integers only.

Secondly it limits the values of k to be between 8 and 16, exclusive of both upper and lower limits.

Therefore we list all positive integers between 8 and 16 i.e. 9,10,11,12,13,14,15

Finally, we count the numbers of elements in the set which is also known as cardinality of the set i.e. 7 for our given set.

You might be interested in
Whats the answer &amp; how do I solve it ?
Veseljchak [2.6K]

Answer:

Area of rectangle = 225/2 or 112.5

Step-by-step explanation:

Given,

Consider a rectangle ABCD.

Let AC be a diagonal of rectangle of length   = 15

In triangle  ABC.

Sin 45° =height/hypotenuse   {SinФ = height / hypotenuse}

Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)

And height is AB

Therefore, sin 45° = AB/AC

or sin 45° = AB / 15

or 1/√2 = AB /15

AB = 15/√2

Similarly we can find Base (i.e BC) using cosine.

Cos 45° = Base/Hypotenuse

Cos 45° = BC / AC

or  1/√2 = BC/15

BC = 15/√2

Hence we got length of rectangle , AB= 15/√2

And width of rectangle , BC = 15/√2

Therefore, area of rectangle = Length × Width

Area of rectangle = 15/√2  ×   15/√2  = 225/2

Hence, area of rectangle = 225/2 = 112.5

6 0
3 years ago
Greg have 24 more stickers than Wayne and Ronald have twice as much stickers than Wayne together they have 124 stick how much ea
lukranit [14]
G=24+w
r=2w
g+w+r=124
Substitute the values to get 24+w+w+2w=124
Simplifies to 4w=100. Therefore, Wayne has 25. Greg has 24 more than Wayne, so he has 49. Ronald would have 50.
4 0
3 years ago
Help pleaseeee???!!!
jolli1 [7]

Answer:

h=8

Step-by-step explanation:\frac{-7}{8} h= -7\\\\(\frac{8}{-7} )(\frac{-7}{8} h)= -7 (\frac{8}{-7} )\\\\\frac{-56}{-56}h = \frac{56}{7}\\\\ h=\frac{56}{7}\\\\h=8

the goal is to isolate the variable, get it all by itself. to do that in this problem, we have to move the -7/8 away from the h. we do this by multiplying by the reciprocal (the opposite of the fraction). The reciprocal of -7/8 is 8/-7. So multiply both sides by this and you will get h=8

8 0
3 years ago
Can you guys please do both with the work please and thank you if you actually do it
salantis [7]

Answer:

  7.  29 cm

  8.  equation: 61 = (x) +(2x -7) +(3x +2); sides 11, 15, 35

Step-by-step explanation:

7. Let w represent the width. The length is 3 less than twice the width, so the length is 2w-3. The perimeter is given by the formula ...

  P = 2(L+W)

Substituting the known values, we have ...

  90 = 2((2w-3) +w)

  45 = 3w -3 . . . . . . . . divide by 2

  15 = w - 1 . . . . . . . . . .divide by 3

  16 = w . . . . . . . . . . . . add 1

  L = 2w -3 = 2(16) -3 = 29

The length of the rectangle is 29 cm.

__

8. The equation that should be used is the one that relates the side lengths to the perimeter.

  P = a + b + c . . . . for sides a, b, c

  61 = (x) +(2x -7) +(3x +2)

  61 = 6x -5 . . . . . . collect terms

  66 = 6x . . . . . . . . add 5

  11 = x . . . . . . . . . . divide by 6

Then the side lengths are ...

  a = x = 11

  b = 2x -7 = 2(11) -7 = 15

  c = 3x +2 = 3(11) +2 = 35

_____

<em>Comment on problem 8</em>

You will notice that the side lengths do not satisfy the triangle inequality: the sum of the short sides is not greater than the long side. <em>These side lengths cannot form a triangle</em>. Cute algebra, but <em>bad geometry</em>.

4 0
3 years ago
WILL MARK BRAINLIEST !!!<br> find the indicated value for each of the figures shown or described
timama [110]

Answer:

10. 9

In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.

Therefore,

15^2 = 12^2+x^2

225=144+x^2

81=x^2

x=9

__________________________________________________________

11. x=12

In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:

11+a+b=21

a+b=10

5+5=10

b=5

a=5

The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:

c^2 = a^2+b^2

13^2=5^2+x^2

169=25+x^2

144=x^2

144= 12 x 12

x=12

__________________________________________________________

12.

The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.

c^2 = a^2+b^2

2^2 = (square root of 3)^2+b^2

4=3+b^2

1=b^2

b=1

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Peter leaves his house and walks 15 meters south, then turns east and walks another 15 meters. How far is he from his house? Rou
    14·1 answer
  • A quadrilateral has side lengths of 2x, (3x - 4), (2x - 3), and (x + 5). Find the<br> perimeter.
    11·2 answers
  • Do you have a balance of -4 dollars in a savings account after making a deposit yet $25 in his account what is the overall chang
    6·1 answer
  • A 747 airplane is 762 inches tall.how tall is it in feet
    7·1 answer
  • Jack said “5 times my age in 2 years is 100.” How old is jack now.
    11·1 answer
  • A packet of sweets contains only blue and red sweets the ratio of blue to red sweets in a packet is 2:1 if there are 12 sweets i
    6·2 answers
  • Select the correct answer
    9·1 answer
  • What sides are the triangles and the last box says can be proven or cannot
    15·1 answer
  • It’s geometry, help plz
    8·1 answer
  • Mr. Wright has 25 students in his class. More than half of the students
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!