Answer:
176 books
Step-by-step explanation:
Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:
eq1:

eq2:



Using the 'F' value from the first equation, we have:




The total number of books is:

Answer:
9
Step-by-step explanation:
the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.
so, both sides of the baseline must be equal :
3x = x + 6
2x = 6
x = 3
=> LK = x + 6 = 3 + 6 = 9
M<1 = 360 / 3 = 120
m<2 = 120/2 = 60
m<3 = 180 - 90 - 60
m<3 = 30
answer
30 (third choice)
Answer:
70
Step-by-step explanation:
Hey There!
To find the range you subtract the largest number from the smallest number. In this data plot it seems that the largest number is 85 and the lowest number is 15
85-15=70
Therefore the range is 70
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.