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Rom4ik [11]
3 years ago
5

Rewrite the perimeter formula, P = 2/ + 2w, to solve for the length, I, and then

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

P = 2l + 2w

Subtract both sides by 2w

P - 2w = 2l

Divide both sides by 2

(P - 2w) / 2 = l

In our problem,

w = 7 in

P = 42 in

Let's plug our values into the formula above.

(42 in - 2(7 in) / 2 = l

(42 in - 14 in) / 2 = l

28 / 2 = l

14 in = length

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What is the arithmetic sequence of a1=228 n=28 sn=2982
Art [367]

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

3 0
3 years ago
Calebs family room has the dimensions shown.He needs to find the area of the room so that he knows how much carpet to buy.
Tom [10]
Hmmmmm just measure the room
4 0
2 years ago
72 is 45% of what number? Please give me a explanation with the answer asap
Juliette [100K]

Answer:

160

Step-by-step explanation:

72/45 = 1.6

1.6 * 45 = 72

Background information

160/100 = 1.6 (100 for percents)

160 fits the answer so it is right

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5 0
2 years ago
Jena bought $8 shirt and paid $8.48 with a sales tax. what is the percent of sales tax
guajiro [1.7K]

Answer:

48 cents

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c
Marrrta [24]

Given:

The number of seats in the first row is <em>a</em>₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}

The number of rows to be calculated is <em>n</em> = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack

On plugging the obtained values in the above equation,

\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}

Hence, the total number of seats in the first 12 rows is 276.

8 0
1 year ago
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