Answer:
Option B. 9.11
Step-by-step explanation:
To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.
The value of θ can be obtained as follow:
θ + 39° + 120° = 180° (sum of angles in a triangle)
θ + 159° = 180°
Collect like terms
θ = 180° – 159°
θ = 21°
Thus, we can obtain the length of line AB by using sine rule as illustrated below:
b/Sine B = c/Sine C
b = 16
Angle B = 39°
Sine C = 21°
c =?
b/Sine B = c/Sine C
16/Sine 39° = c/Sine 21°
Cross multiply
c × Sine 39° = 16 × Sine 21°
Divide both side by Sine 39°
c = (16 × Sine 21°) / Sine 39°
c = 9.11
Therefore, the length of line AB is 9.11
<u>Given </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
- To find the factorised form .
<u>Answer</u><u> </u><u>:</u><u>-</u><u> </u>
Taking the given expression,
→ 4x² - 8x + 4
→ 4x² - 4x -4x + 4
→ 4x ( x - 1 ) -4( x -1)
→ (4x - 4)(x-1)
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>)</u><u>(</u><u> </u><u>x </u><u>-</u><u> </u><u>1</u><u>)</u><u> </u><u>.</u>
8sr6 + 2sr2×2×3 +5sr3 - sr2×3×3×3
=8sr6 + 2(2)sr3 + 5sr3 - 3sr2×3
=8sr6 + 4sr3 + 5sr3 - 3sr6
=8sr6 - 3sr6 + 4sr3 +5sr3
=5sr6 + 9sr3 (ans)
They won 96 games because 160 divided by 5 is 32. now 32 times 3 equals to 96. :) Hope this helps
