Okay so start with getting the x by itself
tan46 = x/12
multiply both sides by 12
12tan46 = x
put that into a calculator and you get:
x=12.4
Answer:
C). Nonrigid transformation.
F). Stretch
Step-by-step explanation:
Transformation in mathematics is defined as the alteration or variation in the shape of an object without altering the lengths by using a flip, turn, slide, or resizing.
The transformation 'Hexagon ABCDEF → hexagon A'B'C'D'E'F'' would best be described as the 'non-rigid' and 'stretch' transformation. Non-rigid because it alters the shape or size of the figure both vertically as well as horizontally. It would be considered a stretch transformation as it is resized by a pull from both the vertical and horizontal angles. Thus, <u>options C and F</u> are the correct answers.
Answer:
g = 13
Step-by-step explanation:
Plug r = 4 into the equation
g = 25 - 12 = 13
Answer:
$300,000
Step-by-step explanation:
To find 8% of 100,000 all you need to do is multiply 100,000 by .08.
100,000 (.08) = 8,000
The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.
8,000 (25) = 200,000
Now add the initial amount to the additional 200,00 that will be paid to the retirement account.
100,000 + 200,000 = 300,000
The answer is $300,000.
The appropriate descriptors of geometric sequences are ...
... B) Geometric sequences have a common ratio between terms.
... D) Geometric sequences are restricted to the domain of natural numbers.
_____
The sequences may increase, decrease, or alternate between increasing and decreasing.
If the first term is zero, then all terms are zero—not a very interesting sequence. Since division by zero is undefined, the common ration of such a sequence would be undefined.
There are some sequences that have a common difference between particular pairs of terms. However, a sequence that has the same difference between all adjacent pairs of terms is called an <em>arithmetic sequence</em>, not a geometric sequence.
Any sequence has terms numbered by the counting numbers: term 1, term 2, term 3, and so on. Hence the domain is those natural numbers. The relation describing a geometric sequence is an exponential relation. It can be evaluated for values of the independent variable that are not natural numbers, but now we're talking exponential function, not geometric sequence.
