Answer:
4th option, 5 5/6
Step-by-step explanation:
8 1/2 - 2 2/3
= 17/2 - 8/3
= (51-16)/6
= 35/6
= 5 5/6
Answered by GAUTHMATH
Answer:
The probability is 1/5, or 20%
Step-by-step explanation:
There are 40 total items in the bag, and 8 of them are peanuts.
simplified is 
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:
brainly.com/question/24349828
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<h3>
Answer: 6</h3>
Explanation:
List list the multiples of each value
- multiples of 2 = {2, 4, 6, 8, 10, ...}
- multiples of 3 = {3, 6, 9, 12, 15, ...}
- multiples of 6 = {6, 12, 18, 24, ...}
In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
Answer:
1. 1,800
2. 500
3. 36,500.03
4. 86.3
Step-by-step explanation:
If you need me to show the work comment and I'll send it to you.