Answer:
2
Step-by-step explanation:
The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.
Answer:
20 sq in
Step-by-step explanation:
formula is (base * height)/2 so plug it in:
5*8=40
40/2=20
20 sq in
Answer:
the answer is 5.6
Step-by-step explanation:
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
- No, a length of 6 in, width 3/4 in. is not proportional.
- Yes, a length of 1/2 in, width 4 in. is not proportional.
- No, a length of 1 1/8 in, width 9 in. is not proportional.
- No, a length of 3 in, width 5 5/8 in. is not proportional.
<h3>What is a direct proportion?</h3>
Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
- y and x are the variables or dimensions.
- k represents the constant of proportionality.
For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
Read more on proportionality here: brainly.com/question/12866878
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
