Answer:
Step-by-step explanation:
y=a(x-0)(x-2)
=a(x^2-2x)
=a(x^2-2x+1-1)
or y=a(x-1)^2-a
(1,5) lies on it.
5=a(1-1)^2-a
5=0-a
or a=-5
so y=-5(x-1)^2+5
The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![{Area}=\frac{1}{2} b c \sin A](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%20b%20c%20%5Csin%20A)
where
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
Substituting these values in the above formula, we get,
![{Area}=\frac{1}{2}(19)(24) \sin 65^{\circ}](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%2819%29%2824%29%20%20%5Csin%2065%5E%7B%5Ccirc%7D)
Simplifying the values, we get,
![{Area}=\frac{1}{2}(456) (0.91)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28456%29%20%280.91%29)
![{Area}=\frac{1}{2}(414.96)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28414.96%29)
![{Area}=207.48](https://tex.z-dn.net/?f=%7BArea%7D%3D207.48)
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
78+24+11+56+23+117+1
=310
Answer:
for every 1 vote cast on candidate d there is 4 votes cast on candidate c.
Step-by-step explanation:
44 divided by 11 is 4