Answer:
add all the sides that you have and subtract it from 180
Step-by-step explanation:
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Using z-value table , Critical one-tailed test value for 0.06 significance level :

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life
Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:
∛1331 = ∛11³ = 11
& ∛729 = ∛9³ = 9
So the linear scale is 11/9 ==> then the ratio of their surface area will be:
11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
Answer
Find out the measure, in degrees, of angle ABC .
To prove
The relationship between inscribed angles and their arcs
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is

As given in the diagram
The measure of the intercepted arc A to B is 120°.
Put value in the formula

∠ABC = 60°
Therefore the measure of the ∠ABC is 60° .
<h3>Answer:</h3>
right triangle
<h3>
Step-by-step explanation:</h3>
The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.
hope it helps.