Answer: A, D, F
Step-by-step explanation: Angle BAC is angle A in triangle ABC. Use the definitions of the trigonometric functions:
\cos \angle A=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{AC}{AB}=\dfrac{6.9}{12}\\ \\\sin \angle A=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{BC}{AB}=\dfrac{9.8}{12}\\ \\\tan \angle A=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{BC}{AC}=\dfrac{9.8}{6.9}\\ \\\cot \angle A=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{AC}{BC}=\dfrac{6.9}{9.8}
Now
\angle A=\cos^{-1}\left(\dfrac{6.9}{12}\right)\\ \\\angle A=\sin^{-1}\left(\dfrac{9.8}{12}\right)\\ \\\angle A=\tan^{-1}\left(\dfrac{9.8}{6.9}\right)\\ \\\angle A=\cot^{-1}\left(\dfrac{6.9}{9.8}\right)
So, correct options are A, D and F
You can multiply the digits or the place value. Either way, you will get the same result.
(2 thousands, 7 tens) × 10 =
... (20 thousands, 70 tens)
or
... (2 ten-thousands, 7 hundreds)
A tenth is the number that occurs after the decimal
If the number after the tenth is five or higher, then you round up
If the number after the tenth if four or lower, then the tenth stays the same value as it is
In this case, the Ume after the tenth is exactly four, so the value of the tenth stays the same
So your answer is 478.5
The distance is given by
y = 58t - 1.86t²
The velocity is the derivative of y with respect to t. It is
v = 58 - 3.72t
In an interval [t₁, t₂], the average velocity is
![\bar{v} = \frac{1}{t_{2}-t_{1}}[58t-1.86t^{2}]_{t1}^{t2}](https://tex.z-dn.net/?f=%5Cbar%7Bv%7D%20%3D%20%5Cfrac%7B1%7D%7Bt_%7B2%7D-t_%7B1%7D%7D%5B58t-1.86t%5E%7B2%7D%5D_%7Bt1%7D%5E%7Bt2%7D)
Evaluate the results (Use v to denote the average velocity).
i. t = [1,2]
v = (108.56 - 56.14)/1 = 52.42
Answer: 52.42 m/s
ii. t=[1,1.5]
v = (82.815 - 56.14)/0.5 = 53.35
Answer: 53.35 m/s
iii. t=[1,1.1]
v = (61.5494 - 56.14)/0.1 = 54.094
Answer: 54.094 m/s
iv. t=[1,1.01]
v = (56.6826 - 56.14)/0.01 = 54.26
Answer: 54.26 m/s
Note:
As the time interval approaches zero, we obtain the derivative of y at t=1, which is 58-3.72 = 54.28 m/s
Answer: C. 
Step-by-step explanation:
Given : The principal amount : P=$10,000
Rate of interest (in percent ) : x
Time period : n years
The formula to calculate the simple interest is given by :-


it can also be written as 
Hence, C is the right option.