<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
The answer is y=3x-6!!!!!
Step-by-step explanation:
on applying ,
(a+b)²=a²+2ab+b²
So, c = 25 or (5)²
Answer:
Amount = $11025
Interest = $1025
Step-by-step explanation:
Amount in a compound interest is given by
where P is the principal, R is the rate and T is the time.
The interest is compunded quarterly i.e. 4 times a year. Hence its rate per quarter will be 20% ÷ 4 = 5%.
The principal is compunded for six months which is 2 quarters. Therefore, T = 2.
The interest is A - P = 11025 - 10000 = $1025