If a wheel makes a full turn, it will have traveled the entire distance around that wheel. After 3 revolutions, it should have traveled 3 times its circumfrence.
The circumfrence of a circle is equal to the diameter times pi. (about 3.14)
21 × 3.14 = 65.94 = circumfrence = 1 revolution
3 revolutions = = 65.94 × 3 = D. 197.82 in.
9514 1404 393
Answer:
Part A: 2 f2
Part B: draw a diagonal (AC, for example); 1 f12
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the
formula
A=bh
where "b' is the length of the base, and 'h' is the
perpendicular distance between the bases.
Using the numbers shown on the diagram, the
area is
A = (3 ft)(2/3 ft) = 3-2/3 f12
A =2 ft2..... area of the parallelogram
Part B:
Typically, a polygon is partitioned into triangles
by drawing diagonals from one of the vertices. It
does not matter which one. (In a quadrilateral,
only one diagonal can be drawn from any given
vertex.) Here, the "base" of each triangle is the
same as the base of the parallelogram: 3 feet.
The "height" of each triangle is the same as the
height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula
Answer:
x = 0 or 1/2
Step-by-step explanation:
Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.
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<em>Additional comment</em>
A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.
Make 1 1/5 into improper fraction which is 6/5 and then find the common denominator 6/5 and 5/8.
Common denominator is 40. Multiply 8 by 6 and 8 by 5 so it would become 48/40. Do the same with 5/8 except multiply by 5 which would be 25/40. Subtract 48/40 and 25/40 which is.....
23/40
Answer:
The correct option is D
D) The graph of function f(x) is shifted right 3 units and up 4 units
Step-by-step explanation:
Lets the function be y = f(x)
To shift the graph 3 units to the right, we add -3 to the x term of the function:
Function becomes y' = f(x-3)
Then to shift the graph up by 4 units, we add -4 to the y term of the function:
Function becomes:
y - 4 = f(x-3)
y = f(x-3) +4
g(x) = f(x-3) +4
Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units
