For the first three questions
5/12 = 35/N
Rearrange: N = 35 / (5/12) = ( 35 / 0.4167 ) = N = 83.99
7/18 = N / 9
Rearrange: N = (7/18)* 9 = 3.5
(2/5) * 240 = 96
He spent $96 on supplies
Answer:
AC ≈ 2.18
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan70° =
=
= 
Multiply both sides by AC
AC × tan70° = 6 ( divide both sides by tan70° )
AC =
≈ 2.18 ( to the nearest hundredth )
Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:

a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:

Recall the unit circle. Sin(150) is 1/2.


Answer:
d = √13
Step-by-step explanation:
d = √((x2 - x1)² + (y2 - y1)²)
points: (-3, 8) & (-1, 5)
d = √((-1 - -3)²+(5 - 8)²)
d = √(2)²+(-3)²
d =√(4 + 9)
d = √13