Answer:
Below
Step-by-step explanation:
sin 32 = d / 500
Cross multiply:
d = 500 * sin 32 = 275.71 feet.
He went wrong by dividing by sin 32 instead of multiplying.
He should have cross multiplied.
Answer:
P₀ = 206 and difference d = 6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the arithmetic sequence
206,212,218,224,.....
P₀ = 206 and difference d = 212-206 = 6
The term of the sequence
<u><em>Step(ii):-</em></u>
The term of the sequence
Put n=20
Answer:
<u>The semi-trailer truck has the fastest average speed</u>
Step-by-step explanation:
Let's recall that the formula of the average speed is:
Average speed = Distance/Speed
Now, we can calculate the average speed for each class of vehicle, as follows:
Flatbed truck average speed = 144/5 = 28.8 miles per hour
<u>Semi-trailer truck average speed = 327/4 = 81.75 miles per hour</u>
Tanker truck average speed = 589/15 = 39.27 miles per hour
Which truck has the fastest average speed?
<u>The semi-trailer truck has the fastest average speed</u>
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.
But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;
f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20