Answer:
The answer to your question is 1 = 69°
Step-by-step explanation:
To solve this problem remember that the sum of the internal angles in a triangle equals 180°.
Let the third angle of the triangle be x.
39° + 30° + x = 180
Solve for x
x = 180 - 39 - 30
x = 111°
Angle x and angle 1 are supplementary so their sum equals 180°.
111° + 1 = 180
1 = 180 - 111
1 = 69°
The answer to this question is 4/6 because of the ratio changes to a division sign
Answer:
a
Step-by-step explanation:
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Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) = ![\frac{\log(b)}{\log(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%28b%29%7D%7B%5Clog%28a%29%7D)
thus,
Therefore, applying the above property, we get
⇒
(here log = log base 10)
now,
3125 = 5⁵
thus,
⇒ ![\frac{\log(5^5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clog%285%5E5%29%7D%7B%5Clog%285%29%7D)
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒ ![\frac{5\log(5)}{\log(5)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Clog%285%29%7D%7B%5Clog%285%29%7D)
or
⇒ 5
Hence,
log₅(3125) = 5