I saw the image that should have been posted with this word problem.
The rolls of wrapping paper is cylindrical in shape.
Roll A : length = 30 inches ; diameter = 3 inches
Roll B : length = 24 inches ; diameter = unknown
Lateral surface area = 2 π r h
Lateral Surface area of Roll A = Lateral Surface area of Roll B
2 * 3.14 * 1.5in * 30in = 2 * 3.14 * r * 24 in
282.60 in² = 150.72 in * r
282.60 in² / 150.72 in = r
1.875 in = r
diameter is 2 times the radius = 1.875 in * 2 = 3.75 inches
The diameter of Roll B is 3.75 inches.
Answer:
x=123
Step-by-step explanation:
x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.
x=123
Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees
57*x=180
Subtract 57 from both sides to get x by itself.
x=123
Answer:
Inequality to represent given data is y ≥ 5.
No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
Step-by-step explanation:
Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.
i) therefore y + 1 ≥ 6
ii) therefore y ≥ 5
iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.
Option 3, definition of congruent segments is the answer I'm pretty sure
here (I need 20 characters in order to send this so don't mind this text)
