Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 <u>The width is 7</u>
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Answer:
The $1 coin is made of 92% copper, 6% aluminium and 2% nickel.
Step-by-step explanation:
which metal makes up 6% of the one dollar coin?
The $1 coin is made of 92% copper, 6% aluminium and 2% nickel.
Answer:
The integer is 56.
Step-by-step explanation:
The consecutive even integer after 56 is 58. 56+58 = 114.
The question above may be answered through the concept of ratio and proportion. The ratio between the population of a certain city and the radius of the circle used should be proportional. Mathematically,
19465000/5 = 37691000/x₁ = 25,675,000/x₂
The values of x₁ and x₂ are 9.7 cm and 6.6 cm, respectively.
