Hello !
Here are some rules for logarithms : log ₐ b = n ⇔ aⁿ = b
log ₐ aⁿ = n
log ₐ (b·c) = logₐ b + log ₐ c
log ₐ bⁿ = n· log ₐ b ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
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(log₅ 25 + log₅ 625) / log₅100 =
(log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
(log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
6/ (2+2·log₅2)=
6/2 + 6/ (2·log₅2) =
3+ 3/log₅2
log₅2 = 0.5
So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9
Answer : 9
The answer is;
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Answer:
The answer to your question is:
7.- y = 6 units
8.- a = 10.6 in
9.- 41.6 ft
Step-by-step explanation:
7.- That is a right triangle and the hypotenuse is y.
Use the pythagorean theorem to find y.
y² = (3√2)² + (3√2)²
y² = 9(2) + 9(2)
y² = 18 +18
y² = 36
y = 6 units
8.-
hypotenuse = 15 in
c² = a² + b²
a = b so
c² = a² + a²
c² = 2a²
c² / 2 = a²
a² = 15² / 2
a² = 112.5
a = 10.6 in
9.-
Use trygonometry to solve this triangle
height = 36 feet
sin Ф = 36 / hypotenuse
hypotenuse = 36 / sin Ф
hypotenuse = 36 / sin60
hypotenuse = 36 / 0.86
hypotenuse = 41.6 ft
Answer: B and E
Step-by-step explanation: Trust me, this is correct
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°.
