9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.
Given expression is
. the given expression is for the nth level.
To simplify the expression for the
level, we plug in
in the place of 'n' in the given expression
(multiply the exponents)
Answer:
ur
Step-by-step explanation:
dotcom
Answer:
L = 2r + 3
Step-by-step explanation:
Given parameters:
Area of rectangle = 14r + 21
Width of the rectangle = 7ft
Unknown:
Length of the rectangle = ?
Solution:
If the length of the rectangle is designated as L;
Area of a rectangle = Length x width
Now insert the parameters:
14r + 21 = L x 7
L =
L = 2r + 3