Answer:
Height = 21.78 ft
Step-by-step explanation:
Tan θ = opposite / Adjacent
tan 40 = opposite / 20
where opposite is the part of the traffic light
0.839 × 20 = opposite
opposite = 16.78 ft
Now the total height of traffic light = 16.78 ft +5 ft
Total Height = 21.78 ft
Step-by-step explanation:
Find the difference
3,621 - 1,836 = 1,785
They payed $1,785 dollars in the second installment.
Answer:
3, 4, and 5
Step-by-step explanation:
To put it simply, 3 + 4 + 5 = 12 and the numbers are consecutive, next to each other.
The method:
The three consecutive numbers could be called x, x + 1, and x + 2 and we know that x + x + 1 + x + 2 = 12
This can be simplified to 3x + 3 = 12. Next, subtract 3 from both sides to get 3x = 9. Now, divide both sides by 3 to get x = 3.
This means that the first number is 3 and the other numbers are 4 (3 + 1) and 5 (3 + 2).
Hope this helps!
Answer:
See below
Step-by-step explanation:
y = x^2 (x + 4) - 25(x + 4)
y = (x + 4)(x^2 - 25)
y = (x + 4)(x + 5)(x - 5)
- x - 5 is a yes
- x + 2 is a no
- x - 4 is a no
Answer:
a) The location of the turning point is approximately 
.
b) Roots are approximately 
and 
.
c) 
Step-by-step explanation:
a) The figure presents the graphic of a parabola, that is, a second order polynomial, with an absolute minimum (vertex). The turning point of the graphic, that is, the point in which behavior of the curve changes, is the vertex. Hence, the location of the turning point is approximately
b) According to the Quadratic Formula, second-order polynomials can have either two real roots or two conjugated complex roots. In this case, we have two real roots. A root corresponds with the point of the curve that passes through x-axis. In this case, roots are approximately and .
c) 
is the function evaluated at 
, that is, the value on y-axis associated with . Lastly, we conclude that .
