We know that
the law of sines establish
a/sin A=b/sin B
problem N 1
50/sin K=53/sin 76-------> 50*sin 76=53*sin K-----> sin K=50*sin 76/53
sin K=0.9154
K=arc sin (0.9154)--------> K=66.25°------> K=66°
the answer problem N 1 is the option
<span>c.) 66°
</span>
Problem N 2
30/sin R=35/sin 69------> sin R=30*sin 69/35-----> sin R=0.8002
R=arc sin(0.8002)-------> R=53.15°-----> R=53°
the answer problem N 2 is the option
<span>b.) 53°</span>
1) Let's write out both expressions subtracting 4m²+2mn+8n² from 2m²+6mn+2n²
2) Note that when we subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 we need to swap the sign by placing -1 outside the parentheses and then combine like terms adding those terms algebraically.
The answer to this question would be: (6.5 , 8.5)
To answer this question, you need to determine the x and y distance of both point. From A point the distance would be:
X distance= 14-4= 10
Y distance= 10-8= 2
Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)
A. 18 feet in 20 minutes.
