Answer:
54 words
Step-by-step explanation:
162 ÷3 (number of minutes)
A Pythagorean triple is a triple that describes the three positive integer side lengths of a right triangle. It fits the rule a^2 + b^2 = c^2. From the given sets of numbers above, the following are the Pythagorean triples: Option C: 12, 16 and 20 (144 + 256 = 400); Option E: 8, 15 and 17 (64 + 225 = 289); and Option F 32, 60 and 68 (1,024 + 3600 = 4,624).
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per <em>n</em> seconds
- Need to solve for <em>n</em>
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
= 
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13
4. Solve for <em>n</em> by isolating the variable and dividing.
= 
<em>n</em> = 
<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)
Answer:
21 and 14
Step-by-step explanation:
The relationship between x and y is proportional thus the equation is
y = kx ← k is the constant of proportion
To find k use the ordered pair y = 84 when x = 28 , then
84 = 28k ( divide both sides by 28 )
k = 3
y = 3x ← equation of proportion
When x = 7 , then
y = 3 × 7 = 21 ← value required in top table
When y = 42 , then
42 = 3x ( divide both sides by 3 )
x = 14 ← value required in lower table