Answer:
Cone Volume = (PI * radius^2 * height) / 3
96 cc = (PI * radius^2 * 14) / 3
(96 * 3) / (PI * 14) = radius^2
radius ^ 2 = 6.5480890872
radius = 2.5589234235
diameter = radius *2 = 5.117846847 cm
diameter = 5.12 cm (rounded)
Step-by-step explanation:
Answer:
Students collected
pounds of paper;
pounds of cans;
pounds of paper and cans combined in September and October.
Step-by-step explanation:
In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.
In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.
Hence, in October they collected
pounds of paper;
pounds of cans.
In total, they collected
- pounds of paper;
- pounds of cans;
- pounds of paper and cans combined in September and October.
Perpendicular lines, slope is opposite and reciprocal
so slope of new line = - 4
passes through (-2, -6) in point-slope form
y + 6 = -4(x + 2)
Answer is C. y + 6 = -4 (x + 2)
Answer:
The table of Henry's family will be at (4, -4)
Step-by-step explanation:
The problem states that the initial coordinates of Henry's family is at the coordinates (-4, 4). Each 15 minutes the restaurant will rotate 90° every 15 minutes. If we follow the Cartesian plane and the center of the restaurant being at (0, 0) we know that the table will be situated at the (4, 4) coordinates of the restaurant after the first rotation. After the 30 minute mark, the restaurant rotates one more time and moves the table of Henry's family at the (4, -4) coordinates of the restaurant as the center of the restaurant will never move.
Step-by-step explanation:
