Answer:
26°
Step-by-step explanation:
<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)
You can also write;
<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)
By putting the value of those angles;
5y+3+(2y-5)=180
5y+3+2y-5=180
5y+2y-5+3 =180°
7y-2=180°
7y=180+2
7y=182
y=182/7
y=26°
Hence,
The value of y is 26°
Answer:
64%
Step-by-step explanation:
divide 80 by 125 and get .64
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
Answer:
0.07 and
Step-by-step explanation:
convert the fraction into a decimal by dividing the numerator by the denominator.
Answer:
The equation of the parabola is 
.
Step-by-step explanation:
Since the directrix is of the form 
, the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that 
and 
, then the coordinates of the vertex of the parabola:
The vertex factor (
) is the distance of the focus with respect to the vertex:
![p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}](https://tex.z-dn.net/?f=p%20%3D%20%5Csqrt%7B%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%5C%2C%5Cbullet%20%5C%2C%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%7D)
(2)
If we know that and , then the vertex factor is:
The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that 
and , then the equation of the parabola is .
