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Grace [21]
3 years ago
10

The area of a rectangle is 18 m² if the length is 6 m less than five times the width then find the dimensions of the rectangle r

ound off your answer to the nearest hundredth
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

width = w

L = 5w - 6

w(5w - 6) = 18

5w^2 - 6w = 18

5w^2 - 6w - 18 = 0

Using the quadratic equation formula

x = 2.58997 and

x = -1.38997   This root cannot be. (No rectangle has a minus length.

w = 2.58997

L = 5*2.58997 - 6

L = 6.94985

w = 2.59

L = 6.95

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2 years ago
find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc
Leokris [45]

Answer:

<u>There are 17 terms in the sequence</u>

Step-by-step explanation:

<u>Arithmetic Sequence </u>

An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

a_n=a_1+(n-1)r

Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

\displaystyle n=1+\frac{a_n-a_1}{r}

We need to express r as an improper or proper fraction:

\displaystyle r=-2\frac{1}{4}=-2-\frac{1}{4}=-\frac{9}{4}

Substituting:

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n=17

There are 17 terms in the sequence

5 0
3 years ago
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