Answer:
6 miles(3 miles to your friend's + 3 miles back home) Step-by-step explanation:
a. What is the distance traveled by the skier during the three minutes of recreation? 360 mAdd the lengths of the three segments - 160 m + 120 m + 80 m. b. What is the net displacement of the skier during the three minutes of recreation? 120 m, EastMeasure from the starting point (A) to the ending point (D); include direction since displacement is a vector. c. What is the displacement during the second minute (from 1 min. to 2 min.)? 120 m, WestThe second minute corresponds to a movement from B to C. Measure from the starting point (B) to the ending point (C); include direction since displacement is a vector. d. What is the displacement during the third minute (from 2 min. to 3 min.)? 80 m, EastThe third minute corresponds to a movement from C to D. Measure from the starting point (C) to the ending point (D); include direction since displacement is a vector.
Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Step-by-step explanation:
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
20. (2) 14
A perfect square trinomial will factor into two expressions that are the same, for example: x^2 + 6x + 9 = (x + 3)(x + 3). Since this problem has a C value of 49, it will factor into (x + 7)(x + 7). 7 doubled is 14, therefore one possible value of B is 7.
21. (4) 2, -12
x^2 + 10x + 25 = 24 + 25
(x + 5)^2 = 49
x + 5 = +/- 7
x = 2, -12
22. (3) 3 + sqrt(17)
x^2 - 6x = 8
Complete the Square
x^2 - 6x + 9 = 8 + 9
(x - 3)^2 = 17
x - 3 = +/- sqrt(17)
x = 3 + sqrt(17), 3 - sqrt(17)
23. (1) 1, -5
x^2 + 4x - 5 = 0
x^2 + 4x = 5
x^2 + 4x + 4 = 5 + 4
(x + 2)^2 = 9
x + 2 = +/- 3
x = 1, -5
Hope this helps!
Answer:
162.1
Step-by-step explanation:
The surface area is just the areas of each of the sides of this prism. As the base of this triangular pyramid is an equilateral triangle, we know that the three lateral triangles are all congruent.
The area of an equilateral triangle is given by: 
, where s is the side length. Here, our base is an equilateral triangle with side length s = 8. Plug this in:
≈ 27.7
The area of a regular triangle is: 
, where b is the base and h is the height. Here, b = 8 and h = 11.2. Plug this in:
Since there are three of this kind of triangle, we need to multiply 44.8 by 3:
44.8 * 3 = 134.4
Add this to the value above:
134.4 + 27.7 = 162.1
Hope this helps!
The quotient of 425 and p is:
425/p
hope this helps
