Question
Tom, Sam, and Matt are counting drum beats.
Tom hits a drum every 2 beats.
Sam hits a drum every 5 beats.
Matt hits a drum every 8 beats.
Tom, Sam, and Matt start hitting their drums at the same time.
How many beats is it before Tom, Sam, and Matt hit their drums at the same time?
— Need help ASAP, with the explanation to the answer if possible. —
(is this the Question )
Answer:179
/20
(Decimal: 8.95)
Step-by-step explanation:
2+3+4−
5
/100
=5+4−
5
/100
=9−
5
/100
=9−
1
/20
=
179
/20
Answer:
Step-by-step explanation:
%change=100(final-initial)/(initial)
For just the ticket
%change=100(375-300)/300=25%
For the ticket and baggage fee of $50
%change=100(375+50-300)/300=42%
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
