A manufacturer designs a circular ornament with lines of glitter as shown. Identify m∠PSR.
1 answer:
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Options were not present in the question we are Stating below;
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?
Answer:
Step-by-step explanation:
Given:
Amount customer paid = $34
Initial fee = $10
Hourly rate = $4
We need to write the equation used to find how many hours, x, the customer rented the bike.
Solution:
Let the number of hours customer rented the bike be 'x'.
Now we can say that;
Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.
framing in equation form we get;
Hence The equation used to find number of hours customer rented the bike is .
Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and 
. Now lets apply the Pythagorean theorem: 
, to find our hypotenuse:
Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call
.
Remember that
, so:
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle
:
We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.
Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call
Remember that
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle
We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.