Answer:
93 cartons
Step-by-step explanation:
January-31
no of cartons-3 × 31=93
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
<h3>Regular polygon</h3>
Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
where
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
learn more on polygon here: brainly.com/question/12105506
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
You need to add a -1
We can find this by setting up the equation like so
x + (-6) + 12 + 15 / 4 = 5
x + 21 = 20
x = 20 -21
x = -1
Now if we insert -1 where x is located in the equation, you will get a means of 5