Suppose the research team intends to build three new mountaintop research stations, R.S. A, B, and C, atop three adjacent mountains. The research team intends to build lifts between each research station. They are curious how much cable will be needed, and as such they need to know the direct distance between each mountaintop. Note that this question allows you to use trig functions that evaluate for angle measures in degrees. To remind yourself how to evaluate trig functions for angle measures in degrees in this program, click here. Note: the image is not necessarily drawn to scale. R.S. C R.S. B a R.S. A The research team knows that mZB = 49.8°, the direct distance from R.S. B to R.S. C is 95.7 kilometers, and the direct distance from R.S. B to R.S. A is 100.8 kilometers. The research team is curious about the missing distance from R.S A to R.S. C. a. Distance from R.S. A to R.S C = Preview kilometers

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.