¿Cual es la ecuación que corresponde ala siguiente expresión? : La mitad de la suma de 4.5 y otro número es igual 13.5 AYUDA

Given:

The expressions are

(c) [tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]

(d) [tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]

To find:

The simplified form of the given expression.

Solution:

(c)

We have,

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]

We know that, zero to the power of a non-zero number is always 1. So, [tex]\left(\dfrac{2^4\times 3^6}{12^2}\right)^0=1[/tex]

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=(1)^3[/tex]

[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=1[/tex]

Therefore, the value of the given expression is 1.

(d)

We have,

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]

It can be written as

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13^3\times 1}{(65\times 49)^2}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13\times 13\times 13}{(65\times 49)(65\times 49)}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{(5\times 49)(5\times 49)}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]

[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]

Therefore, the value of given expression is [tex]\dfrac{13}{60025}[/tex].

Answer:

52 units.

Step-by-step explanation:

If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.

Now CE = 6 and as the whole figure is symmetrical about the dashed line,

ED = (26 - 10)/2

= 8.

So by Pythagoras:

CD^2 = 6^2 + 8^2 = 100

CD = 10.

So, as AB = CD,

the perimeter = 10 + 26 + 2(8)

= 52.

The perimeter of the Quadrilateral ABCD is 56

Given that :

BC = 10

AD = 26

AM = ND = (26 - 10) / 2 = 16 / 2 = 8

Using Pythagoras:

AB² = AM² + BM²

AB² = 8² + 6²

AB² = 64 + 36

AB² = 100

AB = √100

AB = 10

AB = CD = 10

THE PERIMETER OF THE QUADRILATERAL WILL BE :

AB + BC + CD + AD

10 + 10 + 26 + 10 = 56

HENCE, The PERIMETER of the quadrilateral ABCD = 56

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Answer:

If they scored 8 touch downs then the answer would be 48 points.

Explanation: 8x6=48

Answer:

Step-by-step explanation:

Let the age of daughter be x

Then the age of father will be x + 28

In 6 years time:-

The age of father = x + 28 + 2 = 30 + x

The age of daughter = x + 6

According to the question,

Father will be three times the age of his daughter.

30 + x = 3(x + 6)

30 + x = 3x + 18

x - 3x = 18 - 30

-2x = - 12

x = - 12/-2

x = 6

So therfore,

Daughter's present age = 6 years

Father's present age = 34 years

Hope this helps :)

9514 1404 393

Answer:

  72.5° ≈ 73°

Step-by-step explanation:

The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.

The appropriate trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(angle) = 6/20

The inverse cosine function (arccos) is used to find the angle from its cosine.

  angle = arccos(6/20) ≈ 72.54°

The angle is 72.5° rounded to tenths, or 73° rounded to degrees.

Answer:

A. 1 foot

Step-by-step explanation:

Answer:

your answer will be A.1 foot

Step-by-step explanation:

hope it helps you

have a great day

Answer:

Let's assume we have a line segment AB and constructed a perpendicular bisector of this line segment.

Every point of the perpendicular bisector will be equidistant from both point A and point B.

To construct the isosceles triangle, we need to chose a point on the perpendicular bisector, name it C and draw line segments from C to point A and to point B.

We will get an isosceles triangle ABC.

Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

Answer: y = 1x+ -2 or y=x-2

Step-by-step explanation:

y=mx+b

-10=1(-8)+b

-10=-8+b

b=-2

Answer:

y=x-2

Step-by-step explanation:

y-(-10)=1(x-(-8)

y+10=1(x+8)

y+10=1x+8

y=1x+8-10

y=1x-2

Answer:

96

Step-by-step explanation:

48*2=96

32*3=96

GCF=96

The required greatest common factor for the values 48x² and 32x³ is 96x³.

Given that,
To determine the greatest common factor (GCF) of 48x² and 32x³.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

Here,
Factors of 48x² and 32x³,
= 48x², 32x³ = 2⁵ * 3 * x³
= 96x³

Thus, the required greatest common factor for the values 48x² and 32x³ is 96x³.

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Answer:

I believe this is a "trick" question. From the equations given, I can get 3 different solutions.

Step-by-step explanation:

WY = XZ because corresponding parts of congruent triangles are congruent.

(7p + 13) + 2p = 18 + 4

9p + 13 = 22

9p = 9

p = 1

∠ZXY = ∠WYX because corresponding angles of congruent triangles are congruent.

Because ∠ZXY = ∠WYX, ΔVXY is isosceles and XV = YV

2p = 4 because corresponding parts of congruent triangles are congruent.

p = 2

also, because of congruency,

WV = ZV

7p + 13 = 18

7p = 5

p = 5/7

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the value of the variable 'p' will be 1.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the ratio of the corresponding sides will be one. Then the equation is given as,

WX / XZ = 1

XW = XZ

WV + VY = XV + VZ

7p + 13 + 2p = 18 + 4

9p = 9

p = 1

The triangle ΔWXY and ΔZYX are compatible triangles with one another. Then the worth of the variable 'p' will be 1.

More about the triangle link is given below.

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Answer:

nope

Step-by-step explanation:

hope it helps <3

Answer: No sorry if its wrong

Step-by-step explanation: have a nice day

Answer:

Glass A holds the most, It holds more than glass B because of its cone shape.

Step-by-step explanation:

I hope I helped you, now have a good day and good luck!! ;)

Answer

well no

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

A quadrilateral must have four angles and four verticies. A pentagon does not have 4 verticies, but 5.

Answer:

its a pentagon-

oOooOOOooOOOooh gOooOOooOOnn

Step-by-step explanation:

$$3000-$1200=$1800

take $1800÷$40=45

Answer:

8

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{s}{8 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{s}{8 \sqrt{2} } \\ \\s = \frac{8 \sqrt{2} }{ \sqrt{2} } \\ \\ s = 8[/tex]

Answer: 12 balls i think

Answer:

answer is 12

Step-by-step explanation:

i took the quiz.

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

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Answer: $50.99

Step-by-step explanation:

Given

The computer game is Priced at [tex]\$59.99[/tex]

It is marked down by [tex]15\%[/tex]

Final price is

[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]

Answer:

x=12

Step-by-step explanation:

We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex].  To prove that x=12, we can subsitute x for 12.  This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)

Given:

The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).

To find:

The vertices of the image of quadrilateral vwxy after 180° about the origin.

Solution:

If a figure rotated 180° about the origin, then the rule of rotation is

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, we get

[tex]v(-2,-1)\to v'(2,1)[/tex]

[tex]w(-5,-2)\to w'(5,2)[/tex]

[tex]x(-8,-7)\to x'(8,7)[/tex]

[tex]y(1,-6)\to y'(-1,6)[/tex]

Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are  v'(2,1), w'(5,2), x'(8,7), y'(-1,6).

Answer:

Area = 220.8 units²

Step-by-step explanation:

Since, given regular hexagon is made up of 6 congruent triangles joined together.

Area of the given regular hexagon = 6(Area of ΔAOB)

Area of ΔAOB = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(AB)(OC)[/tex]

                        = [tex]\frac{1}{2}(9.2)(8)[/tex]

                        = 36.8 unit²

Therefore, area of regular hexagon = 6(36.8)

                                                 = 220.8 units²

Step-by-step explanation:

The two numbers having a sum of 19 and difference of 9 is

14 and 5

14 + 5 = 19

14 - 5 = 9

Hope it will help :)

Answer:

14 and 5

Step-by-step explanation:

-#--#--2-#--$--#6*363282873737282