Answer:
<h2>3.6</h2>
Step-by-step explanation:
It can be seen from the diagram that ΔDAC and ΔABD are right angled triangle.
Using the SOH, CAH, TOA trigonometry identity on ΔDAC where;
AC is the hypotenuse = 5.1
CD is the opposite (since it faces the angle directly)
According to SOH;
Sin = opp/hyp
sin
∠DAC = ∠BAD = 38.9°
According to ΔABD, the opposite side is DB which is unknown and the hypotenuse id AB i.e 5.7
Using SOH;
BD ≈ 3.6 to one dp
Answer: 6 1/8
Step-by-step explanation:
1/8 x 2 = 1/8 x 2/1 = 2/8 = 1/4
1/4 x 3 = 1/4 x 3/1 = 3/4
3/8 x 4 = 3/8 x 4/1 = 12/8 = 1 4/8 = 1 1/2
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
5/8 x 1 = 5/8 x 1/1 = 5/8
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
Start with the big number first.
1 1/2 = 1 4/8
1 1/2 = 1 4/8
1 1/2 = 1 4/8
5/8 = 5/8
3/4 = 6/8
1/4 = 2/8
Add them all up.
1 4/8 + 1 4/8 = 2 8/8 = 3
3 + 1 4/8 = 4 4/8
4 4/8 + 5/8 = 4 9/8 = 5 1/8
5 1/8 + 6/8 = 5 7/8
5 7/8 + 2/8 = 5 9/8 = 6 1/8
The greatest value that the remainder may have when divided by 16 is 15.
Thus, your required answer is 15.
REGARDS, ARNAB ✌️
THANK YOU
The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.
Given :
- Principal amount = $21136.18
- Final amount = $75514.55
- Interest rate per annum = 27.54%
- Compounded quaterly.
The formula of the compound interest is given by:
where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.
Now, substitute the values of known terms in the above formula.
Now, take the log on both sides.
19.1237 = 4t
t = 4.781 years
Therefore, the correct option is B).
For more information, refer to the link given below:
brainly.com/question/14295570