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MA_775_DIABLO [31]
3 years ago
6

The area of a rectangle is 3/5 square meter. The width is 2/5 meter. A. What is the length of the rectangle? Write your answer a

s a fraction in simplest form. The length of the rectangle is meters. B. How many times greater is the length than the width? Write your answer in simplest form. The length is times greater than the width.
Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Area of a rectangle is represented as;

A = length * width

Given

Area = 3/5 m²

Width = 2/5 m

Required

Length = x

Get the length;

From the formula

L = A/W

L = 3/5 ÷ 2/5

L = 3/5 × 5/2

L = 3/2 m

Hence the length of the rectangle is 3/2 m

Take the ratio of the length to the width as shown;

L/W = 3/2÷2/5

L/W = 3/2 * 5/2

L/W = 15/4

L = 15/4 W

Hence the length is 15/4 times greater than the width

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The number of bagels sold daily for two bakeries is shown in the table.
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The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.

<h3>What are Outliers?</h3>

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One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po
lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y

When x = 8, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0

When x = 7, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}

Where;

h = The height at which the laser meets the wall

h = \dfrac{9 \times  7}{8} =7.875

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

y = \dfrac{9 \times  7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0
3 years ago
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