Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be plac
ed in the corner of a city park the garden to be placed in the corner of a city park. The garden is a right triangle with base 10m and height 15m. Draw the garden such that 1 unit on the grid below represents 2 m
1 answer:
Given:
The garden is a right triangle with base 10m and height 15m.
To draw:
The garden such that 1 unit on the grid below represents 2 m.
Solution:
We have,
1 unit = 2 m
So,
1 m = 0.5 units
Using this conversion, we get
10 m = 5 units
15 m = 7.5 units
Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.
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Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter , while the output, also known as dependent variable, is often indicated with the letter
.
With this notation, we write , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have , which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.