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Anestetic [448]
3 years ago
10

the area of a rectangle is 5 4/5 square meters. the width of the rectangle is 2 1/4 meter. which is the best estimate for the le

ngth of the rectangle?
Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0
Okay so divide the area by the width this will give you the length, 5.8/2.25=2.5777778 which is roughly 2 3/5
tester [92]3 years ago
6 0

Answer:

2\frac{26}{45}\text{ meters}

Step-by-step explanation:

Since the area of a rectangle is,

A=l\times b

Where,

l = length,

b = width,

Here, A = 5\frac{4}{5}\text{ square meters}

b = 2\frac{1}{4}\text{ meters}

By substituting the values,

5\frac{4}{5}=l\times 2\frac{1}{4}

\frac{29}{5}=l\times \frac{9}{4}

\implies \frac{29\times 4}{9\times 5}=\frac{116}{45} = 2\frac{26}{45}\text{ meters}

Hence, the length would be 2\frac{26}{45}\text{ meters}

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The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

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