Answer:
There are three intersections on the graph, therefore there are three solutions to the system
Step-by-step explanation:
Answer:i Reallsjejejdhhrhrnnrr
Step-by-step explanation:
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
4.74 hours
Step-by-step explanation:
Given that both person have to place same number of rivets that is
11209
first person take 9 hours to complete the work
hence 1 hour work of 1st person is
of total work
second person takes 10 hours to complete the same work
hence 1 hour work of 2nd person is ![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
Now if both work together then
1 hour work of both person =
=![\frac{19}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B90%7D)
thus working together they need
hours = 4.74 hours to complete the whole work which is placing 11209 rivets
Answer: her call lasted for 44 minutes
Step-by-step explanation:
Linda purchase a prepaid phone card for $30. This means that the credit on her card is $30.
Long distance calls cost $0.17 each. Linda use her card only to make a long distance call. Assuming she made a total of x minutes of long distance calls, the cost would be $0.17x. The amount remaining on her card will be
30 - 0.17x
if the remaining credit on her card is $22.52, the number of minutes,x that the call lasted will be
22.52 = 30 - 0.17x
0.17x = 30 - 22.52
0.17x = 7.48
x = 7.48/0.17 = 44