<span>It is possible to have an obtuse triangle that also contains a 35° angle. Yes, this is true. That's because an obtuse angle just means it's more than 90 but less than 180 degrees.
</span><span>It is possible to have a right triangle that also contains a 110° angle. </span>No, this is false. That's because a right triangle already has 90. That means that the two remaining angles must add up to 90 and not more or less.
<span>It is possible to have an acute triangle that also contains a 70° angle. Yes, this is true. An acute triangle means that all of the angles are more than 0 but less than 90.
Cameron's current service charge of $0.95 per song, and the new service charge of $0.89 per song and $12 fee for joining, gives;
Formula for finding the number of songs that makes the cost of both services the same is; 0.95•s = 12 + 0.89•s
Computing the value of <em>s </em>that satisfies the above equation gives the number of songs at which the cost of both service is the same as 200 songs
The interpretation is the the cost of either service is the same when 200 songs are downloaded
<h3>How can the equation that gives the required number of songs be found?</h3>
To Formulate
The charges for songs on the current music service is, C1 = 0.95•s
The charges for the new download service is, C2 = 12 + 0.89•s
Where the $12 is the joining fee
When the cost is the same for both service, we have;
C1 = C2
Which gives;
0.95•s = 12 + 0.89•s
The equation to represent when the cost for both service is the same is therefore;
0.95•s = 12 + 0.89•s
Computing;
The number of songs that gives the same costs is therefore;
0.95•s = 12 + 0.89•s
12 = 0.95•s - 0.89•s = 0.06•s
s = 12 ÷ 0.06 = 200
The number of songs at which the cost of each option will be the same is <em>s </em>= 200 songs
Interpreting the solution;
The interpretation is, the cost of songs downloaded on both service will be the same, when 200 songs are downloaded.
It may be because the range isn't actually considered an average, it's shown using a box and whiskers diagram, Mode is the most common number. Mean is all the numbers added up and divided by the amount of values there are in the adding up process. so overall the range is less useful to show variability as it only shows the lowest and highest number in the data, and not the different individual numbers variety amongst the results
