Answer:
The length of the case is 17 inches.
Step-by-step explanation:
A flute case is shaped like a rectangular prism with dimensions:
- height = 5 inches;
- width = 3 inches;
- length = x inches.
The volume of the case is 255 cubic inches.
Use formula for the volume of the rectangular prism:
Thus,
The length of the case is 17 inches.
Answer:s
Step-by-step explanation:
I = (P×R×T)/100
I = #5500, T = 5years, R = 2%
5500 = P(2×5)/100
5500 = P(10)/100
5500 = P/10
P = 5500×10
P = #55000
The temperature at 8 was higher at each location than it was at noon.
Subtract the temperature at noon from the temperature at 8 for each location:
Location 1: 55 - 50 = 5
Location 2: 46-41 =5
Both temperatures increased by 5 degrees.
This means the answer would be:
B.
The changes were in the same direction and of the same magnitude.
The answer questions to your question is 86
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)