Solve for x please i give brainliest
1 answer:
You might be interested in
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations ( radians), the arc length traveled is
Now, what angle is swept by the larger circle when it travels ? Put in
and r is 7 to find
:
** Since radians is 180°, we plug in 180 into
and find the degree measure:
Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:
We know that the smaller circle makes 1 rotation and travels , so in
distance, it makes:
Rotations =
About 2.33 Rotations
<em>An adult ticket costs $205 and a child ticket costs $49.</em>
<h2>Explanation:</h2>Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:
<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>
To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:
- Two families are planning a trip to Disney.
- The Smith family bought tickets for 2 adults and 3 children for $557.
- The Jones family bought tickets for 2 adults and 1 child for $459.
Let:
For the Smith family:
Cost for the 2 adults:
Cost for the 3 children:
Total cost:
For the Jones family:
Cost for the 2 adults:
Cost for the 1 child:
Total cost:
So we have the following system of linear equations:
Subtracting (2) from (1):
Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>
<em></em>
<h2>Learn more:</h2>System of linear equations: brainly.com/question/13799715
#LearnWithBrainly