Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h(
)/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
Let us assume the first number = x
Then the second number = 5x -2
The third number = x + 4
The total number that needs to be divided into three parts is 219
Then we can write the equation as
x + 5x - 2 + x + 4 = 219
7x + 2 = 219
7x = 219 - 2
7x = 217
x = 217/7
= 31
Then
First number = 31
Second number = 5x - 2
= (5 * 31) - 2
= 155 -2
= 153
Third number = x + 4
= 31 + 4
= 35
So the three numbers are 31, 153 and 35.
Answer:
The reasoning is a deductive.
The reason is because the pattern of thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the gold ) are used to support the conclusion.
Step-by-step explanation:
Gnerally the reasoning is a deductive.
The reason is because the pattern of thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the conclusion.
Answer:
Smallest
Vertical deviations
Step-by-step explanation:
If it can run 13 feet in one second, then multiply 13 times 3. He will run 39 feet in 3 seconds.
