If the volume of a cylinder is x, then the volume of a cone with same height and diameter is x/3
so
if the cone is 72ft³ then the cone with same base and height is 72/3ft³=24ft³
answer is A
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Yes, the 3 feet are important.
<span>You can consider the datum (y=0) at 3' from the ground, and the ground is therefore at -3 feet. </span>
<span>The vertical initial velocity, vy, is u*sin(θ), so it gives </span>
<span>vy=55sin(44°)=38.21 approx. </span>
<span>The (vertical) distance travelled is given by: </span>
<span>S=vy*t-(1/2)gt² </span>
<span>where </span>
<span>S=-3 (ground) </span>
<span>vy=55sin(44°), and </span>
<span>g=32.2 ft/s² </span>
<span>Solve for t. </span>
<span>I get -0.08 and 2.45 s.</span>
True “If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are congruent”?
The answers would be 320ft. Squared
Answer:
+√[(2 - √3)/4]
Step-by-step explanation:
Here is the complete question
How do you find the exact values of cos(5pi/12) using the half angle formula?
Solution
The half-angle formula is
cos(θ/2) = ±√[(1 + cosθ)/2]
if cos(5π/12) = cos(θ/2) ⇒ θ/2 = 5π/12 ⇒ θ = 5π/6
So, θ = 5π/6 × 180/π = 150°
Cos150 = cos(180 - 30) = -cos30 = -cosπ/6 = -√3/2
So, cos(5π/12) = ±√[(1 + cos5π/6)/2]
= ±√[(1 + (-cosπ/6))/2]
= ±√[(1 - cosπ/6)/2]
= ±√[(1 - √3/2)/2]
= ±√[(2 - √3)/2 ÷ 2]
= ±√[(2 - √3)/4]
Since 5π/12 = 5π/12 × 180/π = 75° which is in the first quadrant, so
cos(5π/12) = +√[(2 - √3)/4]. We ignore the negative answer
