Response:
The width of the arch measures 105 meters
Detailed explanation:
The function that describes the width of the arch is
f(x) = -0.016(x - 52.5)² + 45
where x denotes the horizontal distance from the left end of the arch or the width at its base
f(x) indicates the vertical height of the arch
According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).
The vertex coordinates indicate that
the arch's height is 45 meters
and half the horizontal span from the left end is 52.5 meters
Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5
resulting in 105 meters
Consequently, the bridge's width is 105 meters.
Greetings:
<span>x² + y² + 8x + 22y + 37 = 0
(x² +8x) +(y² +22y) +37 = 0
</span>(x² +8x+4²)-4² +(y² +22y+11²) -11²+37 = 0
(x+4)² +(y+11)²-16-121+37 =0
(x+4)² +(y+11)² =10²...(<span>standard form )
</span><span>The circle's center is located at (-4, -11) and has a radius of 10</span>
Answer:
Two thirds of a straight angle is 120°
Explanation:
First, we define a straight angle:
A straight angle measures 180°
Now, we need to find two thirds of that straight angle
To compute the fraction, multiply the straight angle's measurement by 
Thus:
of a straight angle = 
degrees
Hope this helps:)
Response:
X+y=237Litres
Detailed explanation:
Let a be the mixture of milk and water.
Define x = milk
Define y = water
Let z = x+y
Total volume of mixture =63litres + z
5/12(3+z))+60=8/15(63-z)
Thus, z =x+y= 237litres
