Dolls = d
trains = t
8d + 10t = 150
I believe we can express it like that.
We start with
Next, we can factor out the term on the right side
Now, we will substitute back
resulting in
So,
.............Response
Answer:
The result is 26.4
Step-by-step explanation:
By taking 51.82 and subtracting 26.37, you arrive at 26.45, and when rounding this value to one decimal place, it becomes 26.4.
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
For this scenario, we can visualize that all points form a triangle. The three vertices are at the pitcher's mound, home plate, and the location where the outfielder catches the ball. We know two sides of the triangle and the angle that lies between these two sides.
<span>Using the cosine law, we can find the unknown third side. The formula to apply is:</span>
c^2 = a^2 + b^2 - 2ab cos θ
Where:
a = 60.5 ft
b = 195 ft
θ = 32°
Substituting the provided values results in:
c^2 = (60.5)^2 + (195)^2 - 2(60.5)(195) cos(32)
c^2 = 3660.25 + 38025 - 20009.7
c^2 = 21,675.56
c = 147.23 ft
<span>Thus, the distance the outfielder throws the ball towards home plate is approximately 147.23 ft.</span>
