Answer:
m∡A = 41.4°
m∡B = 48.6°
m∡C = 90°
a = 3
b = 9
c = 12
Step-by-step explanation:
to find the length of side 'a' I used the Pythagorean Theorem to get:
a² + 9² = 12²
a² + 81 = 144
a² = 63
a = 
which equals 
which is 3
to find m∡B I found the arcsin(B) = 9/12 to get 48.6
to find m∡A I subtracted the sum of 90 + 48.6 from 180°
Answer:
Step-by-step explanation:
19*19=361.
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
The radius of the balloon given the information in the question is 8.98cm.
<h3>What is the radius of the balloon?</h3>
The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: brainly.com/question/13705125
