Answer:
B. 57
Step-by-step explanation:
You can solve the triangle using the Law of Cosines, then find the required angle using the Law of Sines. Or, you can estimate it based on the fact that the angle shown is very nearly 90°.
If ∠B were 90°, then the value of ∠C would be ...
∠C ≈ arctan(21/14) ≈ arctan(1.5) ≈ 56.3°
Since ∠B is slightly smaller, ∠C will be slightly larger. The nearest value slightly larger than 56.3° is choice B, 57°.
_____
Doing this the long way, you get ...
b² = a² + c² - 2ac·cos(B) = 14² +21² -2(14)(21)cos(89°) ≈ 626.738
b ≈ √626.738 ≈ 25.035
Then angle C is given by the law of sines as ...
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) ≈ arcsin(0.838707) ≈ 57.004°
m∠C ≈ 57°
_____
Many graphing calculators can solve triangles, as can phone or tablet apps.
Answer:
the value of t that makes the equation true is 7x
Answer:
A collection of short stories.
Step-by-step explanation:
A classic novel is almost always fiction, which is not suitable for referencing. A commercial website publicly advertises its products or services. Again, not professionally referenceable. This leaves us with a collection of short stories. This option is correct because the stories come from realistic and personal accounts.
The answer is -28 if there is a negative then the answer is a negative
Answer:
option (c) $18,032
Step-by-step explanation:
Data provided in the question;
Amount deposited at the end of each day = $1
Interest paid = 8% compounded daily = 0.08
Daily interest rate = 
= 0.000219
Duration = 20 years = 20 × 365 days = 7300 days
Now,
the Future value is given as:
Future value = Part payment × 
here, r is the interest rate
n is the duration
thus,
Future value = $1 × 
or
Future value = $18033.56 ≈ $18,032
Hence, the correct answer is option (c) $18,032
