Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
Answer:The amount of paint that was sold altogether is 173.36 litres
Step-by-step explanation:
The total amount of paint that the paint shop stocks is 1800 litres.
24% of the paint is white. It means that the amount of white paint would be
24/100 × 1800 = 0.24 × 1800 = 432 litres.
The amount of the remaining paint other than white would be
1800 - 432 = 1368 litres
The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be
18/100 × 432 = 0.18 × 432 = 77.6 litres.
The shops sells 7% of the rest of the paint.
This means that the amount of the rest paint sold by the shop will be
7/100 × 1368 = 0.07 × 1368 = 95.76 litres.
The amount of paint that was sold altogether would be
77.6 + 95.76 = 173.36 litres
Answer:
(1.35, 1.6)
Step-by-step explanation:
A screenshot of the graph is attached.
Once we graph the equations
and
, the solution to this system will be their intersection point.
Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).
The answer is C because the difference of 325,500 times 20 Percent and 325500 is the loan amount
Answer: The correct option is, The coefficient of the first term.
Step-by-step explanation:
The given function is,

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches
and
.
The end behavior of the graph depends on the leading coefficient and degree of the polynomial.
As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.
Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.
The graph is also shown below.