Answer:
7 times during the first 15 minutes
Step-by-step explanation:
Remember that
so
Decompose the numbers 18 and 42 in prime factors
we know that
Find the least common multiple (LCM)
The LCM is
we need to find all multiples of 126 that are less than or equal 900.
therefore
7 times during the first 15 minutes
22.50-3.75= 18.75
18.75/1.25= 15
1.25 × X = total money left after purchases.
I think it’s c sorry if it’s wrong
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
I think the smallest sides correspond to the smallest angle measurement. So the smallest side would be UT and then VT and then UV.
