The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
Let x = price of the bike before a sales tax.
The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars
Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50
Answer: 158.50
Answer:
Latoya:
cran : lem = 2 1/5 : 1 4/5
= 11/5 : 9/5
= 11 : 9
Lem : total = 9 : 20
Parker:
cran : lem = 2 1/2 : 3 1/2
= 5/2 : 7/2
= 5 : 7
Lem : total = 7 : 12
Step-by-step explanation:
Answer:
x = 7, y = 30 and x = 3, y = 10
Step-by-step explanation:
5x - y = 5, then y = 5x - 5
2y - x^2 = 11
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
-x^2 + 10x -10 = 11
-x^2 + 10x -21 = 0
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0
x = 7, y = 30
x = 3, y = 10
Rule: look at the sequence. It has the last number as 4 then 9 then for. 4 for odd numbers(odd term numbers like number 3,5 so on) so the last number of the 100 term is 9. It’s 509.
