Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
Finally
Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
Answer:
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Step-by-step explanation:
Answer:
The change in elevation is -134 ft
Step-by-step explanation:
Given;
initial depth of the submarine, d₁ = 235 ft
final depth of the submarine, d₂ = 101 ft
The change in the elevation of the submarine is given by;
Δd = d₂ - d₁
Δd = 101 ft - 235 ft
Δd = -134 ft
The change in elevation is negative because the submarine is moving closer to the surface.
Therefore, the change in elevation is -134 ft
