If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z

9514 1404 393

Answer:

  486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

The area of a regular hexagon with side length s is ...

  A = (3√3)/2s²

For the side length of 18 ft, the area is ...

  A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

angle b = 71°

so, x + b = 180° ( linear pair )

x + 71° = 180°

x = 180° - 71°

x = 109°

Now, a + y = 180° ( linear pair )

93° + y = 180°

y = 180° - 93°

y = 87°

Hence, the value of x is 109° and y is 87°.

Answer:

Step-by-step explanation:

PEMDAS

Parentheses first:

15 - 7 + 3 (8) / 2^3

Exponent second:

15 - 7 + 3 (8) / 8

Multiplication:

15 - 7 + 24 / 8

Division:

15 - 7 + 3

Addition:

15 - 4

Subtraction:

11

Answer:

The answer is [tex]{\underline{\boxed{\sf{\purple{4}}}}}[/tex]

Step-by-step explanation:

Solution :

To solve the above equation we will follow the BODMAS rule.

It stands for :

[tex]\begin{gathered}\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}\end{gathered}[/tex]

Solving the question by bodmas rule :

[tex]\implies\tt{\dfrac{15 - 7 + 3(6 + 2)}{{2}^{3}}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3(8)}{2 \times 2 \times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3 \times 8}{4\times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 24}{8}}[/tex]

[tex]\implies\tt{\dfrac{39- 7}{8}}[/tex]

[tex]\implies\tt{\dfrac{32}{8}}[/tex]

[tex]\implies\tt{\cancel{\dfrac{32}{8}}}[/tex]

[tex]\implies\tt{\underline{\underline{\red{4}}}}[/tex]

Hence, the answer is 4.

Step-by-step explanation:

I dont know the answer put I know the steps so first find the area of a trapezoid by multiplying the sum of the bases ( the parallel side) by the height .(the perpendicular distance between the bases ) and the last thing you do is divide it by 2 . I hope that I helped and good luck.

Answer:

The first image is ∆XYZ and the second image is ∆XYZ and the composition of two 90° (180°) rotations about point x

Answer:

D) Factors of the polynomial

Step-by-step explanation:

Example: If the polynomial 10x² represents the area of the rectangle, then

2x and 5x will be the dimensions of the rectangle. Thus they will be factors of the polynomial.

So, dimensions of the rectangle represents the factors of the polynomial.

Answer:

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points is 18 units.

Step-by-step explanation:

The reflection of a point with respect to the x-axis is defined by the following operation:

[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:

[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]

[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]

[tex]d = \sqrt{0^{2}+18^{2}}[/tex]

[tex]d = 18[/tex]

The distance between the points is 18 units.

Answer:(3,9) Distance 18 units.

Step-by-step explanation:

Answer:

A.

irrational numbers

Step-by-step explanation:

Name the set(s) of numbers to which each number belongs.

1/33......the number is rational

7........Natural Number....whole number

-20/4=-5........integer

-7.34.........rational

[tex]\sqrt{5}[/tex]......... irrational number

all above numbers belong to the "REALS"

Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.

Irrational Numbers, Real Numbers

Answer: A. Irrational Numbers

Step-by-step explanation:

Gradpoint.

Answer:

10.03

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

basically you need to actually put something in the black photo there

Answer:

its black Ф_Ф

Step-by-step explanation:

Answer:

I will tell D or C but I'm not sure :-\

Answer:

the first choice

Step-by-step explanation:

the most talented ones are at the top of the list.

answer:

i believe the answer is "a"

good luck :) hopefully, this helps

have a great day !!

Answer:

Step-by-step explanation:

30

Answer:45

Step-by-step explanation:

Because 15% of 300 is 45

Answer:

292 feet

Step-by-step explanation:

If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.

the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together

Perimeter of a rectangle = 2 x ( length + breadth)

Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft

Perimeter of the second park = 2x (32 + 22) = 108 ft

Sum of the perimeters = 184 ft + 108 ft = 292 ft

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

Answer:

infinite solutions

Step-by-step explanation:

Answer:

infinite many solutions.

Step-by-step explanation:

I got it correct in edge

Answer:

6

Step-by-step explanation:

This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will always be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.

lmk if i made a mistake, hope this helps :)

The answer is Option A.

x + 1 - i ) (x + 1 + i)

Solution:

x (x+2) +2

(x+1)² + 1

= (x + 1 - i ) (x + 1 + i)

Answer:

Step-by-step explanation:

for the expression you wrote: x2 + 2x + 2 the answer is: none

the expression you have there is: x² + 2x + 2 and the answer is: a

by expanding a:

(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i  + 1

(x + 1 - i ) (x + 1 + i) = x² + x + x + 1 + 1

(x + 1 - i ) (x + 1 + i) = x² + 2x + 2

Answer:

x= -0.36

firstly you need to open the brackets

-3(3x +6) + 2=9

-9x -18 + 2=9

secondly join the like terms together

-9x = 9 + 18 - 2

-9x = 25

thirdly you divide both sides by 25

-9x ÷ 25 = -0.36

x= -0.36

Answer:

17 x 8 x 15 x 7 = 14280

Answer:

The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Verify with Pythagorean:

We see the squares are equal, so this is a right triangle.

Correct choice is C

Answer:

960

Step-by-step explanation:

We need to find 1/5 of 4800, we will do:

4800/5=960

So 960 is our answer.