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ExtremeBDS [4]
3 years ago
6

Find an explicit rule for the nth term of the sequence.

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

a1 \times  {4}^{n - 1}

n > 1

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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches
vampirchik [111]

An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.

Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,

Rope left = 84 inches - 34.5 inches

Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,

The number of sections, n = Rope left/8.25 inches

                                             = (84 -34.5)inches /8.25 inches

                                              = 6

Hence, the number of sections that Mario can cut from the rope is 6.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

7 0
2 years ago
Answer the photo below thanks
Crazy boy [7]

Answer:

307cm²

Step-by-step explanation:

This is a composite firgue so we need to split the two shapes, then find the area of both.

find the area of the rectangle

A=b*h

A=18*10

A=180

then find the area of the semicircle

A=1/2Pi*r²

A=1/2Pi*81

A=127.75 (We need to find the radius of the semicircle then square it)

then add the two areas 180+127.75=307.75

find the closet unit its

307cm²

7 0
3 years ago
Work out the size of the angle marked t
tiny-mole [99]

Answer:

<h2>35°</h2>

Step-by-step explanation:

This is an isoceles triangle

And as we all know an isoceles triangle has two equal base angles.

And we also know that the sum of all interior angles of the triangle is 180°

So based on this we can form an algebraic equation of solve for angke t (Let's do it :))

110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t  =  \frac{70}{2}  \\ t = 35

So the base angle is 35°

3 0
3 years ago
Read 2 more answers
Write the coordinates of the vertices after a translation 4 units left.
DENIUS [597]

Answer:

Step-by-step explanation:

8 0
2 years ago
i am failing geometry and was wondering if my answers were right im really trying to get my grade up can someone please help tha
bagirrra123 [75]

Answer:

1)b

2)d)80/360×36π≈25.12cm²

4)d)32.5

5)c)135°

6)d)4π/3

Step-by-step explanation:

1) because as we know

Circle equation

=(x-a)²+(y-b)²=r²

=(x-5)²+(y+1)²=36 (given)

=(x-(+5))²+(y-(-1))²=6²

So

C(5,-1)and r=6

2)as we know area of sector

=Theta/360×πr²

=80/360×6²π

80/360×36×3.14

80/10×3.14

=25.12

4)to figure out 4 we have to separate the shape into 2 parts

First  semi-circul

Second rectangle

So the parameter of the shape

=Circumference of semi-circul + the parameter of the rectangle

=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)

=[15.7+26.8]-10

=32.5

5)3π/4

3×180/4

540/4

135

6)240°

240°×π/180°

4π/3

7 0
3 years ago
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