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Snowcat [4.5K]
2 years ago
15

How do I solve this arithmetic sequence?

Mathematics
1 answer:
Sveta_85 [38]2 years ago
5 0

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

<em>aₙ = a + (n - 1)d</em>

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

<u>-TheUnknownScientist</u>

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The area of a rectangle is 229.2 m2. If the length is 15 m, what is the perimeter of the rectangle
igor_vitrenko [27]

Answer:

\large\boxed{P=60.56\ m}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

l - length

w - width

We have

A=229.2\ m^2\\\l=15\ m

Substitute:

15w=229.2          <em>divide both sides by 15</em>

w=15.28\ m

The formula of a perimeter of a rectangle:

P=2(l+w)

Substitute:

P=2(15+15.28)=2(30.28)=60.56\ m

8 0
3 years ago
The intersection of the two lines, shown in the image below, creates special angle relationships between angles 1,2,3,
levacccp [35]

Answer:

3 and 4

1 and 3

Step-by-step explanation:

This is because these are vertical angles so anything on one side is the same on the other in these words Congruent. Good luck.

5 0
3 years ago
For each new desk that is purchased, by how much
Natasha2012 [34]

Answer:

is there more to the question?

Step-by-step explanation:

is there anything before that relating to the question or a picture? like “they got ___ desks for ___“ ? i’m not good without context ahaha

5 0
3 years ago
Estimate the annual wages for a clerk who works 50 weeks a year and earns $15 and hour
Pachacha [2.7K]

Let us assume that a person works for 8 hours a day.

Let us assume that the person works for 5 days a week.

Wage earned per hour = $15

So, wage earned in 8 hours = 15*8 = $120

Now, wage earned in 1 day = 120

So, wage earned in 5 days = 120*5 =$600

As the person works for 5 days in 1 week

So, in 50 weeks, he will work = 50*5 = 250 days

So, total number of hours he must have worked = 250*8 =2000 hours

Now, per hour wage = $15

wage in 2000 hours = 15*2000 = $30000

Hence, the estimated wage a person earns in 50 weeks = $30000



7 0
3 years ago
Please i need helpp ion get math at all
fiasKO [112]

Answer:

you have to use the Pythagorean theorem. a^2 + b^2= c^2

72^2 + b^2 = 75^2

5184 + b^2 = 5625 (subtract 5184 from both sides)

b^2= 441 (find the square root of each side)

b= 21

4 0
3 years ago
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