Answer:
58
Step-by-step explanation:
As there are 12 teams in the league and each teams plays every other team twice per season. so, the total number of matches in the league will be 132.
let the matches won by home team = 'x'
given,
number of matches drawn = 34
matches won by the away team = x - 18
Now, according to the question,
⇒ total matches = matches drawn + matches won by home team + matches won by away team
⇒ 132 = 34 + x + x -18
⇒ x = 58
Step-by-step explanation:
h(t) = -5t² + 20t + 18
this is a parabola (the curve an object follows when thrown up into the air and then falling back down).
and as such it will most likely have 2 solutions (one for when going up, and one for when falling back down again).
33 = -5t² + 20t + 18
15 = -5t² + 20t
-3 = t² - 4t
t² - 4t + 3 = 0
the solution of such a quadratic equation is
t = (-b ±sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = 3
t = (4 ±sqrt(16 - 4×1×3))/(2×1) = (4 ±sqrt(16-12))/2 =
= (4 ±sqrt(4))/2 = (4 ± 2)/2
t1 = (4+2)/2 = 6/2 = 3
t2 = (4-2)/2 = 2/2 = 1
the object reaches the height of 33 m first after 1 second (while going up), and then again after 3 seconds (while falling down again).
Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° = 
, thus
sin60° = 
= 
= 
= ( cross- multiply )
2BD = 12
( divide both sides by 2 )
BD = 6
-----------------------------------------------------------
Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° = 
, thus
tan30° = 
= 
= 
= ( cross- multiply )
AD = 6 ( divide both sides by )
AD = 6 → B
Answer:
<h2>124.1m</h2>
Step-by-step explanation:
29.4 per sec > Building 80m
Height = S = 4.9t^2 + 29.4t + 80
Solve for t:
t = 1.24 (approximately)
If t needed coordinates / solve using the quadratic formula:
t = (1.24 , -7.24)
<h3>The ball's maximum height is 124.1 meters.</h3>
40*52=2080 (hours per year)
$29640/2080h=$14.25h
Shea earns $14.25 per hour
