14/18-9/18=5/18 it can't be simplified anymore
Answer:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
Answer:
110kg
Step-by-step explanation:
You multiply 100 by 0.1 (because this is 10% as a decimal number) and you get 10. Add 10 to 100
Answer:
5
Step-by-step explanation:
...yeah
Answer:
2.84
Step-by-step explanation:
Recognize that 252 = 7*36
and so:
log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or
log base 7 of 36 + 1
So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.
Or, if you want to use the change of base formula, you could do the following:
log 36
log base 7 of 36 = -------------- = 1.84
log 7
and so log base 7 of 252 would come out to
1 + log base 7 of 36 = 1 + 1.84 = 2.84
Check: does 7^2.84 = 252? YES. So we know that:
1 + log base 7 of 36 = 2.84
