Answer:
a) Approximate height of the statue: 144 feet
b) The approximate height is 1.7% greater that the actual height of the statue.
Explanation
1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:
statue's height student's height
________________________ = ______________________
length of the statue's right arm length of student's right arm
⇒ x / 54 feet = (5 + 1/3) feet / 2 feet
⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet
Answer: 144 feet
2) Compare the approximate heigth obtained with the actual height:
144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet
1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.
Hence, the approximate feet obtained is 1/4 feet larger than the actual height.
In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.
3z - 7 = 14 |add 7 to both sides
3z = 21 |divide both sides by 3
z = 7
Answer:
z = 1
Step-by-step explanation:
15z + 35 = 50
15z = 50 - 35
15z = 15
z = 15/15
z = 1
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
Answer:
2 is the absolute mean deviation
Step-by-step explanation:
absolute mean deviation is
the average of the differences of the data from the average
8, 8, 4, 12
1. take the average
8+8+4+12=32 -> 32/4 = 8
2. subtract each number from this average
8 - 8 = 0
8 - 8 = 0
4 - 8 = 4 (there are no negative answers)
12 - 8 = 4
3. take the average of these subtractions
0+0+4+4=8 -> 8/4 = 2
4. answer: 2 is the absolute mean deviation
