Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
1 answer:
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Answer:
Step-by-step explanation:
some rules of logarithmic function
vice-versa
If ㏑(a) = ㏑(b), then a = b
∴
Use the 2nd rule to simplify it
2㏑(2x) - ㏑(10x) = ㏑(30)
Use the 3rd rule in the 1st term
∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)
∴ ㏑(4x²) - ㏑(10x) = ㏑(30)
- Use the 1st rule with the left hand side
Use the 4th rule
Multiply both sides by 5
∴ 2 x = 150
- Divide both sides by 2
∴ x = 75
The value of x = 75
Calculate the hypotenuse( h ) using Pythagoras' identity
h =√(4² + 7²) = √(16 + 49) = √65
sinΘ = 4 / √65 ⇒ cscθ = √65 / 4
cosθ = 7/ √65 ⇒ secθ = √65 / 7
tanθ = ⇒ cotθ =
Answer:
Hello, There!
<h2>Question</h2>There is a special relationship between the lengths of the legs of a right triangle and the length of its hypotenuse. This relationship is known as the
<h2>Answer</h2>Pythagorean Theorem.
Step-by-step explanation:
The Pythagorean Theorem states that the square of one leg (a) plus the square of the other leg (b) is equal to the square of the hypotenuse (c). This can be written as +
=
.