The smallest angle is an acute angle. You remember this by thinking "This is a cute and tiny angle"
Answer:
$1820
Step-by-step explanation:
35 x 52 = $1820
First simplify the equation of parabola
![y=-5x^2+15x-10](https://tex.z-dn.net/?f=y%3D-5x%5E2%2B15x-10)
in the following way:
![D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\ \sqrt{D}=5, \\ x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1 \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2)](https://tex.z-dn.net/?f=D%3D%2815%29%5E2-4%5Ccdot%20%28-5%29%20%5Ccdot%20%28-10%29%3D225-200%3D25%2C%20%5C%5C%20%20%5Csqrt%7BD%7D%3D5%2C%20%5C%5C%20%20x_%7B1%2C2%7D%20%3D%20%5Cdfrac%7B-15%5Cpm%205%7D%7B2%5Ccdot%28-5%29%7D%20%3D%202%2C%201%20%20%5C%5C%20-5x%5E2%2B15x-10%3D-5%28x-1%29%28x-2%29%2C%20%5C%5C%20y%3D-5%28x-1%29%28x-2%29)
.
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
Knowing the ratio for dogs to cats is 10:9
To get to 50 dogs they multiplied 10x5
So multiply 9x5 as well to get the number of cats
Cats = 45
:) hope this helps