Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.
Is this correct on what you typed above ->
Here is the answer:
Expanded Form: 50 + 7 + 0.03 + 0.006
Word Form: Fifty plus seven plus zero point zero three plus zero point zero zero six
Answer:
a. The ratio of A to B is 2.92 : 1
b. The ratio of B to A is 1 : 2.92
c. A is 292% of B
Step-by-step explanation:
A = 52193
B = 17878
a. The ratio of A to B is: 52193 : 17878
To get the ratio in lower form, divide A with B (since it is the smallest of the two value) and the result is:
2.92 : 1
b. The ratio of B to A is: 17878 : 52193
1 : 2.92
c. The percentage of A to B is:
9514 1404 393
Answer:
2 1/2 feet
Step-by-step explanation:
The Pythagorean theorem is not useful in this problem.
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If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.
The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.
The base (short leg) of the triangle shown is 2 1/2 feet.
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Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)
