X(5x-2) thats how you factor
1/3 of a lap per 1 minute, 3 minutes per lap
Answer:
1. 5 cm
2. 7.07 cm
Step-by-step explanation:
According to your provided information, the area of a square is A = s^2. They also tell you that the area of the square in the picture is 25cm^2. That means that, to find the length of any side (s), you just need to plug 25 in as the area. So
25 = s^2 ... Take the square root of both sides to isolate s.
s = ±5 ... But since we're talking about length, we only take the value positive five. (Length can't be a negative value.)
Now we have the length of any side as 5 cm, and they want us to find the length of the diagonal. We can use the Pythagorean theorem, a^2 + b^2 = c^2, where c will be the diagonal we want. We can do this because we know that ANY side of this square is s = 5, so if we plug that into a^2 + b^2 = c^2, we get
5^2 + 5^2 = c^2 ... 5 times 5 is 25
25 + 25 = c^2 ... Add
50 = c^2 ... Take the square root of both sides
c = √50 ... Use a calculator
c ≈ 7.07
Answer:
a. $12,600
b. $21
c. $19
Step-by-step explanation:
a) The cost is $3000 plus $16 per book
For 600 books, we have
3000 + 16(600)
= 3000 + 9600 = $12,600
b) Cost per book will be;
12,690/600 = $21
c) for 1000
= 3000 + 16(1000)
= 3000 + 16,000 = 19,000
cost per book is 19,000/1000 = $19