Answer:
6 more
Step-by-step explanation:
because 2 x 5 = 10 now 10 - 4 = 6
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
Vertically opposite angles are congruent to eachother so:
3Y+20=5Y-16
-5Y -20 -5Y -20
-2Y = -36
=-36/-2
Y= 18
B is the answer
To solve 47, you would add.
a² (33) + b²(44) = c²
33² = 1,089
44²= 1,936.
1,089 + 1,926= 3,024.
√3,024= 54.9
to solve 48, you would subtract.
9² - 5.4² =x²
9² = 81.
5.4²= 291,16.
81 - 29.16= 51.84.
√51.84=7.2
7.2 = x
hopefully this helps
Answer:
an=9+(n−1)3, an=3n+6
Step-by-step explanation:
Arithmetic Sequence:
d=3
This is the formula of an arithmetic sequence.
an=a1+d(n−1)
Step 1: Substitute in the values of
a1=9 and d=3.
an=9+(3)(n−1)
Step 2: Simplify each term.
an=9+3n−3
Step 3: Subtract 3 from 9.
an=3n+6