4 points Untitled Question
Kimberly is asked to find mZM. What is her error?
N
sin M _ sin
16 10
sin M=
16.sin 33"
10
16
10
m2M = 0.8714
X Х
33
M
What is Kimberly's error?
A Kimberly did not find the inverse cosine of the value she calculated.
OB. Kimberly did not find the inverse sine of the value she calculated.
OC. Kimberly found the measure of angle N, not M.
D. Kimberly made a computational error.
E Kimberly did not apply the Law of Sines correctly
А

The error is;

B. Kimberly did not find the inverse sine of the value she calculated

Step-by-step explanation:

The given parameters of the triangle ΔLMN are;

= 16

= 10

∠L = 33°

By sine rule, we have;

Given that ∠L = 33°, we have;

Therefore, we have;

sin M ≈ 0.8714

Therefore, m∠M ≈ 60.62°

m∠M ≠ sin M ≈ 0.8714

Therefore;

Kimberly did not find the inverse sine (sin⁻¹) of the value she calculated

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

answer: add the !

step-by-step explanation: then we will answer