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3 years ago

-b+ 3x = C + 5b Solve for x in terms of b and c I NEED HELP

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x

Add b to both sides: 3x = c + 6b
Divide 3 on both sides: x = (c + 6b)/3

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3 years ago

Read 2 more answers

A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.

VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

$A = \frac{\theta}{360} * \pi r^2$

This gives

$A = \frac{135}{360} * 3.14 * 65^2$

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters