6 inches
6 1/14 inches
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So
51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6
51/4 / 21/10 = 51/4 * 10/21 = 510/84 = 85/14 = 6 1/14
ANSWER

EXPLANATION
We were given that,

This implies that,

We use the Pythagorean identity

to get,

We were also given that,

This means that,

This is because,


This angles are in the first quadrant so we pick the positive values.




The correct answer is D
The mode is 2.4 idk the rest
Answer:
D
Step-by-step explanation:
putting KL on an acute angle will make KM longer than KN or vice versa. moving KL horizontally with make the side it goes toward shorter.
Answer:
1. θ = 34.85°
2. x = 36.31°
3. x = 39.80°
Step-by-step explanation:
1. Determination of θ.
Adjacent = 11.9
Hypothenus = 14.5
Angle θ =?
Cos θ = Adjacent /Hypothenus
Cos θ = 11.9 / 14.5
Cos θ = 0.8207
Take the inverse of Cos
θ = Cos¯¹ 0.8207
θ = 34.85°
2. Determination of x
Opposite = 9 m
Hypothenus = 15.2 m
Angle x =?
Sine x = Opposite /Hypothenus
Sine x = 9 / 15.2
Sine x = 0.5921
Take the inverse of Sine
x = Sine¯¹ 0.5921
x = 36.31°
3. Determination of x
Opposite = 10 in
Adjacent = 12 in
Angle x =?
Tan x = Opposite / Adjacent
Tan x = 10 / 12
Tan x = 0.8333
Take the inverse of Tan
x = Tan¯¹ 0.8333
x = 39.80°