Answer:
60 toys
Step-by-step explanation:
In the given question,the given explicit formula is
Which is of the form
So the constant difference is 7 here.
Now for the recursive formula
To find the next term, we need to add 7 to the current term, that is
So the correct option is B
Quotient of 24 and 6 is :
and 4's cube is :
The answer is 64
One serving is 3/4 cups of rice. To find out how many serving there are in 12 cups of rice, you divide 12 by 3/4. (When dividing fractions, don't ask why. Flip the second one over and multiply).
12/(3/4) = 12 *(4/3) = 48/3 = 16
There are 16 servings of rices in 12 cups.
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
