Answer:
40 units
Step-by-step explanation:
An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.
Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points 
.
Hence:
Since all the sides of a regular octagon are equal, therefore:
Perimeter = 8 × length = 8 × 5 = 40 units
Answer:
We conclude that a function is defined as having only one corresponding y-value for each x-value.
Hence, option (C) is true.
Step-by-step explanation:
We know that A function is a certain relationship is defined as having only one corresponding y-value for each x-value.
Considering the function
Here,
- x is the input and f(x) or y is the output.
- 'x' is often called an independent value and y is called the 'dependent' value.
Considering the table
x y
1 2
2 3
3 4
4 5
The values in the table satisfy the function y = x+1.
It is clear from the table that the function has only one corresponding y-value for each x-value. In other words, there is no repetition of 'x' value.
Therefore, we conclude that a function is defined as having only one corresponding y-value for each x-value.
Hence, option (C) is true.
Answer:
B. could become equal to the population mean if proper sampling techniques are employed.
Step-by-step explanation:
If any similarities it does not mean equal.
Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard
Step-by-step explanation:
First, let's see what the problem is giving us:
-The variable X will represent the number of weeks it will take Damon to save the money he needs.
- Damon has $40
- Damon is going to safe $20 weekly
- The snowboard costs $160
Therefor:
Our equation will be: $40 + $20X = $160
Step 1
We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.
40 - 40 + 20X = 160 - 40
This will let us with 20X = 120
Step 2
We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.
20X/20 = 120/20
Therefore: X=6
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Answer:
7 feet and 24 feet
Step-by-step explanation:
In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.
Let x feet and y feet be the lengths of triangle's legs.
By the Pythagorean theorem,
The area of the right triangle is half the product of its legs, thus
Solve the system of two equations:
From the second equation:
Substitute it into the first equation:
The length of the leg cannot be negative, so
