X - 1 < = 9 or 2x > = 24
x < = 9 + 1 x > = 24/2
x < = 10 x > = 12
closed circle on 10, shaded to the left
closed circle on 12, shaded to the right
________10_______12__________
<====X X======>
the X represents closed circles
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
Answer:
Each person get less than 1 cup of cider.
Step-by-step explanation:
1. Calculate the amount of cider served to each person:
Total amount of cider is 48 fluid ounces
Gus serves 7 people
Let Q the amouunt of cider served to each person:
Then, each person recived 6.85 fluid ounces of spiced cider.
2. Calculate the number of cups served:
Considering that 1 cup=8 fluid ounces, then:
That means that each person recived 0.85 cups of spiced cider.
Each person get less than 1 cup of cider.
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50
