Answer=5288
Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288
Answer:
6 miles
Step-by-step explanation:
60 miles : 5 inches
12 miles : 1 inch
6 miles : 1/2 inch
whatever you do to one side of the ratio you have to do to the other.
to get from 1 to a 1/2 you divide by 2, so you do 12 divided by 2 which is 6.
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 miles.
The denominator of the first term is a difference of squares, such that
4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)
So you can write the fractions as
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)
Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))
((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
Expand the numerator:
(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²
(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)
4<em>ab</em>
<em />
So the original expression reduces to
4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
or
4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)
upon condensing the denominator again.
Answer:
The kinetic energy of the sled is going to increase by 18.75%
Step-by-step explanation:
The work W realized by a Force F is given by:
Where x is the displacement and 
is the component of the force that is parallel to the displacement.
Additionally, the work is equal to the change in the kinetic energy
If your pulling force is in the same direction as the sled's displacement, we can said that: 
And if increases the kinetic energy of the sled by 27%, we can said that:
So, we can formulate the following equation:
(1)
On the other hand, if the pulling force acted at an angle of 46° above the horizontal, the work is:
(2)
Then, replacing (1) in (2), we get:
Finally, the kinetic energy increase by 18.75% because:
