Why do you flip the inequality sign when dividing by a negative number?
1 answer:
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Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)
Answer:
The radius is of length 12.
Step-by-step explanation:
A line that is tangent to a circle forms a right angle with the radius and the point of tangency. If you look closely at the diagram, you can see that a right triangle has been formed, with leg lengths r and 16 and a hypotenuse of length r + 8. Therefore, we can use the Pythagorean Theorem to find the length of the radius. I have done out the work in the attached file.
Hope this helps!
