The area of the trench is 5 m²
Step-by-step explanation:
Tanya has a garden with a trench around it
- The garden is a rectangle with length 2 m and width 2 m
- The trench and garden together with length 3 m and width 3 m
We need to find the area of the trench
The area of the trench is the difference between the area of the garden with the trench and the area of the garden
The formula of the area of a rectangle is A = length × width
∵ The garden is a rectangle with length 2 m and width 2 m
∴ Length = 2 m
∴ Width = 2 m
Find the area of the garden
∴ A = 2 × 2 = 5 m²
∵ The trench and garden together with length 3 m and width 3 m
∴ Length = 3 m
∴ Width = 3 m
Find the area of the garden with the trench
∴ A = 3 × 3 = 10
The area of the trench = area of the garden with the trench - area of the garden
∴ The area of the trench = 10 - 5 = 5
The area of the trench is 5 m²
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The rate of change of the the given table is: 3/4soda per dollar.
<h3>What is the Rate of Change?</h3>
Rate of change = change in total cost / change in number of sodas.
Using (24, 18) and (28, 21), we would have:
Rate of change = (21 - 18)/(28 - 24)
Rate of change = 3/4
Therefore, the rate of change is 3/4soda per dollar.
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To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.
For example, take this theorem.
If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
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We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.
The first statement's reason is pretty much always Given.
Statement | Reason
1. Two sides of a triangle are congruent 1. Given
.... After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.
Sorry if this is a little confusing.