Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (
, 
) We can interpret the statement mathematically by means of the following expression:
Where 
, 
, 
.
This system is reduced to a single equation and solved afterwards:
Now we evaluate and to obtain the natural numbers:
262 and 263 are consecutive natural numbers whose sum is 525.
Answer:
486 mm
Step-by-step explanation:
solve each side on it's own first
First 2 rectangles: 288 mm all together
2 rectangle: 144 mm
Triangles: 54 mm
Then add rectangles and triangles:
288 mm + 144 mm + 54 mm = 486 mm
1. 73
2.40
3.78
werent too hard
Answer: 178.31
Step-by-step explanation: subtract 574.54 by 396.23
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
