1. 8b+40
2. -36n+16
3. -6y-3
4. 4k+32
5. 3n^2 (squared)
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
48 cm is the area because 12x4 is 48.
Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
__
b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
2/3 of the pie had been eaten, there is 1/3 left
