Thirty-two million,five thousand,eight
2 answers:
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For the first one we will use the Law of Sines. First off, though, we need to find angle C's measure. By the Triangle Angle-Sum Theorem, the angles of a triangle all add up to equal 180. Therefore, angle C is 180-15-20 which is 145 degrees. Now we will set up the Law of Sines ratios. 
. Solving for BC, we have 
and on our calculators we find that BC is 4.5, last choice above. For the second one, the sin ratio is the side opposite the reference angle over the hypotenuse. The cos ratio is the side adjacent to the reference angle over the hypotenuse. The side opposite angle R is r, and the hypotenuse is q, so the sin R = r/q. For the cos P, the side adjacent to angle P is r, and the hypotenuse is q, so the cos P = r/q. Obviously, those 2 ratios are the same, so your choice is the very first one given.
The first thing is to define each one:
Polynomial: expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication. Exponents can only be natural numbers and the polynomial cannot have an infinite number of terms.
Example:
This is a:
Degree: It is the exponent with the highest degree. If a monomial of those that are forming the polynomial has two unknowns, each with its exponent, these add up since we would be doing a multiplication of monomials.
Example:
The degree of this polynomial is 3 because it is the largest exponent.
Linear term coefficient: is the number that multiplies the variable with the highest exponent
Example:
In this case it is 5 because is the variable with the highest exponent
Constant term coefficient: is one that is found in a polynomial alone, that is, without multiplying the x or another unknown.
Example:
In this case it is 20 because it is the one found without multiplying any linear term (x)
Attached image with example of this.
Answer:
148 in³
Step-by-step explanation:
The equation for the volume of a cube is
Here, .
So, the volume of each cube is in.
The prism is filled completely with 3996 of these cubes.
The volume of the prism is 148 in³.