Answer:
Step-by-step explanation:
<u>Use the ratio to solve:</u>
<u>Cross multiply and solve for x:</u>
- 4.5x = 4.04*47.25
- 4.5x = 190.89
- x = 190.89/4.5
- x = 42.42
The answer is $42.42
The 4 is closer to the decimal point than the 7 is, so 0.0004 is a greater number.
If both of the two legs are the same length, the distance between the two endpoints of each line (leg) must be the same distance. This means that the hypotenuse MUST be the same length. Using SSS, since all 3 sides must be the same length, the triangles are congruent.
Substitute 3 to n in order to find the 3rd term
tn = 2(3)ⁿ⁻¹
t₃ = 2(3)³⁻¹
t₃ = 2(3)²
t₃ = 2(9)
t₃ = 18
The third term is 18
Answer:
2
Step-by-step explanation:
Expand the first and second pair of factors by multiplying each term in the first factor by each term in the second factor. Distribute the third factor by - 2m
(m² + m + 1)(m + 1) + (m² - m - 1)(m - 1) - 2m(m² + 1)
= m³ + m² + m + m² + m + 1 + m³ - m² - m - m² + m + 1 - 2m³ - 2m
Collect like terms
= (m³ + m³ - 2m³) + (m² + m² - m² - m²) + (m + m - m + m - 2m) + (1 + 1)
= 0 + 0 + 0 + 2
= 2