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3 years ago

The scale on a drawing is 1 mm = 3 m. How many meters does 2 centimeters represent?

1 answer:

3 0

There are 10 millimeters in 1 centimeter. from that, we can calculate that one centimeter is equivalent to 30 meters. We are trying to find how many meters are in two centimeters so we multiply 30 meters by 2 and get the final answer of 60 meters.

2 Centimeters = 60 Meters

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Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

3 years ago

What type of shape will the reflected figure be?

julsineya [31]

How does your figure look like?

8 0

3 years ago

Read 2 more answers

Please help me! I REALLLY need my math grade to go up!!! PLEASE HELP!!!!

melomori [17]

Answer:

Hi I only know part be yes the figures are congruent

Step-by-step explanation:

There the same shape, same size so yes they are congruent

6 0

3 years ago

Read 2 more answers

What are all the exact solutions of -3tan^2x+1= 0? Give your answer in radians

lord [1]

Answer:

x = π(n - $\frac{1}{6}$ )

Step-by-step explanation:

Find attached Solution

6 0

3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

3 years ago