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lorasvet [3.4K]
3 years ago
9

The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

The answer to your question is    Area = 9 3/8

Step-by-step explanation:

Data

length = 3 3/4 cm

width = 2 1/2 cm

Process

1.- Write the equation of the Area of a rectangle

   Area = length x width

2.- Convert the values to improper fractions

     3 3/4 = (12 + 3)/ 4 = 15/4

     2 1/2 = (4 + 1) / 2 = 5/2

3.- Substitution

      Area = (15/4)(5/2)

4.- Simplification

      Area = 75/8

5.- Convert to a mixed fraction

                       9

                8   75              

                        3

6.- Result

   Area = 9 3/8

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Answer:

A)2100 ml

Step-by-step explanation:

Given total vinegar is 3 1/2 liters and the used vinegar is  3/5 of the vinegar in the beaker:

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V_b=\frac{2}{3}V_t=\frac{2}{3}(3\frac{1}{2})=2\frac{1}{3}\\\\V_u=\frac{3}{5}V_b=\frac{3}{5}\times 2\frac{1}{3}=1\frac{2}{5}

#The unused vinegar is therefore calculated by subtracting the used vinegar from the total at the start of the experiment:

V_r=V_t-V_u\\\\=3\frac{1}{2}-1\frac{2}5}\\\\=2\frac{1}{10}\times 1000\ ml\\\\=2100\ ml

Hence, the unused vinegar is 2100 ml

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4 years ago
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The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4

<h3>What is an equation? </h3>

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Profit is the difference between revenue and cost. Given that:

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P(r) = R(r) - C(r)

P(r) = (2r⁴ - 3r³ + 2r - 1) - (r⁴ - r² + 2r + 3) = r⁴ - 3r³ - r² - 4

The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4

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Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

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But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

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