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lorasvet [3.4K]
3 years ago
9

The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D

is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Mathematics
2 answers:
Drupady [299]3 years ago
6 0

Answer:

A.The elevation of city D=\frac{1}{2}(-16) feet  

B.The elevation of city D=-8 feet

because it is 8 feet below the sea level therefore, it takes  negative.

Step-by-step explanation:

We are given that

The elevation of city A=-80 feet

The elevation of city C=-16

The elevation of city D=1 over 2 of the city C

A.We have to find an expression to represent the elevation in feet of city D.

The elevation of city D=\frac{1}{2}(-16) feet  

B.We have to solve the expression and explain .

The elevation of city D=\frac{1}{2}\times (-16)=-8 feet

The answer is negative because the elevation is below the sea level.

The sea level is like as origin and the elevation measured on the negative y- axis below the origin means sea level.

So, the elevation of city D is 8 feet below the sea level and taken -8.

Ipatiy [6.2K]3 years ago
5 0
Part A: -16 divided by 1/2 =D
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The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

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<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

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