The value of line AL is 21. 51cm
<h3>How to determine the length</h3>
To find line AL,
Using
Sin α = opposite/ hypotenuse to find line AB
Sin 90 = x/ 24
1 = x/24
Cross multiply
x = 24cm
Now, let's find line AC
Sin angle B = line AC/24
Note that to find angle B
angle A + angle B + angle C = 180
But angle B = 2 Angle A
x + 2x + 90 = 180
3x + 90 = 180
3x = 180-90
x = 30°
Angle B = 2 × 30 = 60°
Sin 60 = x/ 24
0. 8660 = x/24
Cross multiply
x = 24 × 0. 8660
x = 20. 78cm
We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°
To find line AL, we use
Cos = adjacent/ line AL
Cos 15 = 20. 78/ line AL
Line AL = 20. 78/ cos 15
Line AL = 20. 78 / 0. 9659
Line AL = 21. 51 cm
Thus, the value of line AL is 21. 51cm
Learn more about trigonometry ratio here:
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Answer:
0.163
Step-by-step explanation:
P = I (1 + r)ᵗ
450 = 56 (1 + r)⁶
8.036 = (1 + r)⁶
log₆ 8.036 = 1 + r
log 8.036 / log 6 = 1 + r
1.163 = 1 + r
r = 0.163
The answer
is 85 gallons
in a day
Hello:
an equation for the line is : y =mx +b (m: is a slope )
parallel to the liney=2x+2 ( same slope m =2)
the equation is : y =2x+b
through the point (-1,3) : 3 =2(-1)+b....... b=5
the equation is : y = 2x +5
4.0 seconds you just said the answer
