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77julia77 [94]
2 years ago
14

Write a recursive formula for the sequence 1, 5, 9, 13

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0

Answer:

\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}

Explanation:

Sequence: 1, 5, 9, 13

  • Add(ing) 4 every time

\bold{a(1) \ = \ 1}

\bold{\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}}

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One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared
AfilCa [17]

Answer:

29119.66666...+14561.3333...=43681, 209ft^2, not square feet.

Step-by-step explanation:

<em>"One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared"</em>

Ok, so this is a tricky one- <em> 209 feet squared, </em>not 209 square feet, therefore the area is 209^2, or 43,681.

Next, let's define our variables-

<em>x= the "other side"</em>

<em>z= 3 feet shorter than twice side</em>

We can now make these (useful) equations

z=2x-3

43681= (2x-3)+x

We will focus on the latter for now-

Simplify

43681= (2x-3)+x

43681= 2x-3+x

43681= 3x-3

+3

43684=3x

/3

14561.3333...=x

z=2x-3

z=2*(14561.3333)-3

z=29119.66666....

29119.66666...+14561.3333...=43681

6 0
1 year ago
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la super
SIZIF [17.4K]

Answer:

La altura de la pirámide es de 8.14 unidades.

Step-by-step explanation:

Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?

Dado que el área de superficie lateral = 60

Tenemos

Área del triángulo equilátero = (√3 / 4) × a²

 (√3 / 4) × a² = 60

a² = 60 / (√3 / 4) = 80 · √3

a = √ (80 · √3) = 11.77 unidades

La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)

La altura inclinada = 11.77 × sin (60) = 10.194 unidades

La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)

La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.

La altura de la pirámide = 8.14 unidades.

8 0
2 years ago
Difference of squares gives which complex factors for the expression x^2+13
Serga [27]

The Given Expression is : → x² + 13

  =  x² + (√13)²

=  x² - ( i √13)²  As , i²= -1 because , i = √-1

= (x - i√13)(x +√13)   → Using the formula , A² - B² = (A-B)(A+B)

Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.

7 0
2 years ago
Read 2 more answers
A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. a total of 278 tickets we
sesenic [268]
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algebra :) sorry idk the answer i bet someone will help you in "ten minuttes' brainly says"
5 0
2 years ago
Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i
kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

6 0
1 year ago
Read 2 more answers
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