Answer:
Y ≈ 54.998°
Step-by-step explanation:
Cos Y = .5736
=> Y = (.5736)
=> Y ≈ 54.998
Answer:
Step-by-step explanation:
Remark
The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.
Givens
a = 10
b = 8
c = ? This is the length of the diagonal.
Solution
a^2 + b^2 = c^2
10^2 + 8^ = c^2
100 + 64 = c^2
c^2 = 164
√c^2 = √164
c = 12.806
Using an infinite geometric sequence, it is found that the total distance that the ball travels is of 180 feet.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
Considering q < 1, the sum of an infinite sequence is given by:
In this problem, the first term and the common ratio are given by:
Hence the total distance traveled in feet is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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Multiply 3.25 by 1.6 and you get 5.2 which means it took Neal 5.2 hours to run the marathon
Answer:
x ≥ −4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x + 32 ≥ 16
Step 2: Subtract 32 from both sides.
4x + 32 − 32 ≥ 16 − 32
4x ≥ −16
Step 3: Divide both sides by 4.
4x/4 ≥ -16/4
so x ≥ −4 is your answer