Answer:
It's Option A.
Step-by-step explanation:
Using the Cosine Rule:
cos < K = (3.9^2 - 1.9^2 - 2.8^2) / (-2 *1.9*2.8)
= 3.76 / -10.64
= - 0.3534.
m < K = 110.7 degrees.
Using the Sine Rule:
3.9 / sin 110.7 = 2.8 / sin <J
sin J = 2.8 sin 110.7/ 3.9 = 0.6716
m < J = 42.2 degrees
So m < L = 180 - (110.7 + 42.2)
= 180 - 152.9
= 27.1 degrees
Answer: d = 10
Step-by-step explanation:
Step-by-step explanation:
The formula for calculating distance between two points is given by :
d = 
= -3
= 5
= 11
= 5
substituting the values , we have
d = 
d = 
d = 
d = 
d = 
d = 10
Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
The inequality form is −3 ≤ x ≤ −1