Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
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This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
Answer: #4 C Domain is x such that x is greater than -1 (all real numbers greater than -1)
#5 B Points C, F & G
Step-by-step explanation: Look at the coordinate of the vertex. It is at (-1, 1) so the -1 is the lowest number in the Domain (running left to right). The attows at the right ends mean that the lines go to infinity. The symbol ∈ means "belongs to" the R (special font not available here) means "all real numbers.
The y-value, 1 is not relevant here, as the Range (up and down, like a mountain range) is infinity, and the arrows keep going forever. ∈R means all real numbers.
For the Triangle: First ,imagine a box with the boundaries matching the domain and range given, so the left side is at -2, the right side is at 6 [Domain] and the top and bottom are at 5 and -1 [Range]
Pick the points that are on the boundary lines. C is at (6,3) on the right boundary, F is at (2,-1) on the bottom boundary and G is at (-2,5) at the corner where the top and left sides meet.
See the attachment below
Answer:
44n
Step-by-step explanation:
because 11 x 4 = 44
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
7 years.
Step-by-step explanation:
To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.