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sveta [45]
3 years ago
11

An arithmetic sequence a starts 2, 5, . .

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

Tn = 3n-1

T6 = 17

Step-by-step explanation:

Given the arithmetic sequence;

2, 5...

first term a = 2

Common difference d = 5-2 = 3

nth term of an AP is expressed as Tn = a + (n-1)d

Tn = 2 + (n-1)(3)

Tn = 2 + 3n-3

Tn = 3n-1

Get the 6th term

T6 = 3(6)-1

T6 = 18-1

T6 = 17

Hence the 6th term of the sequence is 17

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Determine the equation of the line with slope 3 that passes through the point (2, 0).
Hitman42 [59]

Answer:

m=2y-3

Step-by-step explanation:

8 0
3 years ago
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Give A={a,b,c},how many subsets does A have including 0?
Tems11 [23]
Answer: 8 subsets

----------------------------------------------------------------------
----------------------------------------------------------------------

There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below

{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }

The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as \varnothing
8 0
3 years ago
Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the b
almond37 [142]

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

7 0
3 years ago
A computer moniter is solid by the diagonal length of the screen a computer monitor has a 15 inch screen the screen has a width
n200080 [17]
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13^2 + b^2 = 15^2

B is the unknown variable in which we are trying to find.
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169 + b^2 = 225

Then, subtract 169 from both sides:

b^2 = 56

Finally, find the square root of both sides:

b = 7.483314774

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7 0
3 years ago
Sydney applied the steps below to find the product of (3.1)(–1.6).
postnew [5]

 to get the numbers in step 3

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then multiply -1.6 by 0.1

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answer is D) (–1.6)(3) + (–1.6)(0.1)

7 0
4 years ago
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