Answer:
5 gallons for 97.45
Step-by-step explanation:
5x21.95=109.75 which is more
The sum of a and b will be the coefficient of the x term of the trinomial. This can be seen below.
(x + a)(x + b)
= x² + bx + ax + ab
= x² + (a+b)x + ab
x is being multiplied by both a and b individually and the products are being added, so sum of a and b appears as the coefficient of x term.
Thus the answer to this question is option C
A) The answers are:
the first frequency - 428.75 Hz
the second frequency - 1286.25 Hz
the third frequency - 2143.75 Hz
The frequency (when the pipe is closed) is: f = v(2n - 1)/4L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * (2 * 1 - 1) / 4 * 0.2 = 343 * 1 / 0.8 = 428.75 Hz
2. The second frequency (n = 2):
f = 343 * (2 * 2 - 1) / 4 * 0.2 = 343 * 3 / 0.8 = 1286.25 Hz
3. The third frequency (n = 3):
f = 343 * (2 * 3 - 1) / 4 * 0.2 = 343 * 5 / 0.8 = 2143.75 Hz
B) The answers are:
the first frequency - 857.5 Hz
the second frequency - 1715 Hz
the third frequency - 2572.5 Hz
The frequency (when the pipe is open) is: f = vn/2L
v - the speed of sound
n - the frequency order
L - the length of the organ pipe
We know:
v = 343 m/s
L = 20 cm = 0.2 m
1. The first frequency (n = 1):
f = 343 * 1 / 2 * 0.2 = 343 / 0.4 = 857.5 Hz
2. The second frequency (n = 2):
f = 343 * 2 / 2 * 0.2 = 686 / 0.4 = 1715 Hz
3. The third frequency (n = 3):
f = 343 * 3 / 2 * 0.2 = 1029 / 0.4 = 2572.5 Hz
Answer:
Therefore the correct option is 2. 35 degree.
Step-by-step explanation:
Consider an Isosceles Triangle, Δ ABC where,
∠BAC = 110°
TO Find:
∠ ABC = ∠ACB = ?
Solution:
For an Isosceles Triangle
Base Angles are equal
∴
Now,
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
Therefore,
