Answer:
p=106
Step-by-step explanation:
p and 106 are corresponding so they are =
Answer:
Step-by-step explanation:
<h2>A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
</h2><h2>y=-16x^2+129x+119
</h2><h2>y=−16x </h2><h2>2
</h2>
+129x+119
Answer: 51 notes span 6 octaves.
Step-by-step explanation:
The word "octave" is a Latin word that means "eight".
In an instrument, Each octave is made up of 8 musical notes.
If we have 51 notes , the number of octaves can be made in it = 
![=6.375\approx6\ \ \ \ \ \text{[Rounded to the nearest whole number]}](https://tex.z-dn.net/?f=%3D6.375%5Capprox6%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5BRounded%20to%20the%20nearest%20whole%20number%5D%7D)
Hence, 51 notes span 6 octaves.
Answer:
36*sqrt(3)
Step-by-step explanation:
Remark
Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or
You can find the area of the trapezoid which requires only 1 step after you find the height.
Height
c = 8
b = 4
a = ?
a^2 + b^2 = c^2
a^2 + 4^2 = 8^2
a^2 + 16 = 64
a^2 = 64 - 16
a^2 = 48
a^2 = 16 * 3
sqrt(a^2) = sqrt(16*3)
a = 4 * sqrt(3)
That's the height
Trapezoid
b1 = 7
b2 = 7 + 4 = 11
h = 4*sqrt(3)
Area = (b1 + b2)*h / 2
Area = (7 + 11)* 4*sqrt(3)/2
Area = 18 * 2 sqrt(3)
Area = 36* sqrt(3)
