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Arlecino [84]
3 years ago
14

Is the following irrational or rational?

Mathematics
1 answer:
prisoha [69]3 years ago
4 0
  1. 6.4 is Rational. It ends in a decimal
  2. if the nine is the last number and it does not go on (indicated by ...) then the number is rational
  3. -2 is rational. It's an integer. All integers are rational.
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What is the value of the expression below? (-8)5/3
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a guy wire for a tree is 20 ft long, making a 21 angle with the ground. How far is the base of the tree from a stake anchoring t
evablogger [386]

Answer:

18.7 feet far

Step-by-step explanation:

Based on the information given we can conclude that our set up will be a Right triangle (i.e. one angle is 90°), where the hypotenuse will be denoted by the guy wire of 20ft  and angle of 21° is the angle formed between then hypotenuse and the base (i.e. ground).

Thus we want to find the base length (lets call it x ) of this triangle, so we can use trigonometry as we have one angle and the hypotenuse, as follow:

cos(21)=\frac{adjacent side}{hypotenuse}=\frac{baselength}{guywire}\\\\ cos(21)=\frac{x}{20} \\x=20cos(21)\\x=18.671\\x=18.7ft

So the base is approximately 18.7 feet far from the tree of the anchored wire.

8 0
4 years ago
Will give brainliest answer
tatuchka [14]

Answer:

tan x=O/A

X=tan-¹(O/A)

X=tan-¹(10.5/20.1)

X=27.6

8 0
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