Answer: 2.4 UNITS
Step-by-step explanation:
The sine rule :
Sine A / a = Sine B / b = Sine C / c
From the diagram attached :
QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?
We need to find the angle RQS
using Sine rule :
Sine R / r = Sine S / s
Sin 80° / 3.1 = sin S / 2.4
0.9848077 / 3.1 = sin S / 2.4
Sin S × 3.1 = 0.9848077 × 2.4
Sin S = 2.3635386 / 3.1
Sin S = 0.7624318
S = Sin^-1(0.7624318)
S = 49.67°
Therefore, form using ;
A + B + C = 180° ( SUM of angles in a triangle)
SQR = 180° - (QRS + QSR)
= 180° - ( 80 + 49.67)° = 50.33°
Q = 50.33°
THEREFORE,
Sine Q / q = Sin S / s
Sin 50.33° / q = Sin 49.67° / 2.4
0.7697339 / q = 0.7623295 / 2.4
0.7623295q = 0.7697339 × 2.4
q = 1.84736136 / 0.7623295
q = 2.4233108
q = Segment RS = 2.4units
Answer:
Step-by-step explanation:
hello :
y = 6x - 10 (*)
2x + 3y = 10...(**)
by (*) put this value of y into (**) : 2x+3(6x-10)=10
2x+18x-30 = 10
20x=40 so : x= 2 but y = 6x - 10 y = 6(2)-10 =2
one solutions (2,2)
8 degrees below 0 could be expressed as -8
Answer:
The answer is True.
Step-by-step explanation:
Scale factor = Larger figure dimensions ÷ Smaller figure dimensions
Answer:
trapezoid (U.S.A.)
trapezium (UK)
Step-by-step explanation:
On the right side, two sides are perpendicular to the same side. That makes those two sides parallel. A quadrilateral with 2 parallel sides is a trapezoid (in the U.S.) or trapezium (in the UK.)