1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
Answer: 2600
Step-by-step explanation:
We want two digits that are not 0. These are the significant figures.
= 2600
Answer: D
Step-by-step explanation: go over 5 . Down 1 .
DIvide 11 by 2
11/2
5.5
Multiply that by 7
5.5x7
38.5 feet tall
The law of detachment is a set of three sentences, such that:
- Sentence 1 is a statement of the form If p, then q
- Sentence 2 is a statement of the form p
- Sentence 3 is a conclusion of the form q
Let's see which of the options follow the pattern indicated above:
Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.
Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.
Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Hence, option A and option D are examples of the Law of Detachment.
