Answer:
693.6
Step-by-step explanation:
ANSWER
EXPLANATION
The sum of an arithmetic sequence whose first term and last terms are known is calculated using
From the given information, the first term of the series is
and the last term of the series is
The sum of the first 26 terms is
The measure of the supplementary angles are 34.3 and 145.7 degrees.
<h3>What are supplementary angles?</h3>
Supplementary angles are those angles that sum up to 180 degrees.
In other words, two angles are Supplementary when they add up to 180 degrees.
Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.
Hence,
let
x = measure of the other angle
x + x + 111.4 = 180
2x + 111.4 = 180
subtract 111.4 from both sides
2x + 111.4 - 111.4 = 180 - 111.4
2x = 68.6
divide both sides by 2
x = 68.6 / 2
x = 34.3
Other angle = 34.3 + 111.4 = 145.7°
Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.
learn more on supplementary angles here: brainly.com/question/15966137
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Answer:
Step-by-step explanation:
Given
Required
Determine the formula
An exponential function is of the form:
For point
For point
Substitute 7 for a
Divide both sides by 7
Take 4th root of both sides
![\sqrt[4]{81} =\sqrt[4]{b^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%5Csqrt%5B4%5D%7Bb%5E4%7D)
![\sqrt[4]{81} =b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3Db)
![b = \sqrt[4]{81}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B4%5D%7B81%7D)
Substitute 7 for a and 3 for b in
