Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to

where
(h,k) is the vertex
In this problem we have
(h,k)=(2,3)
p=4
substitute

Answer:
$252.5
Step-by-step explanation:
45(4.5)+50
202.5+50
=252.5
Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.


Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

Upon dividing both sides of our equation by 10 pi we will get,



Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
b= 0.9
Step-by-step explanation:
first you find angle B: 180-90-25=65
then you will do law of sine- sin A/a=sin B/b=sin C/c
sin(90)/1=sin 65/b
sin(90)*b=sin(65)*1
sin(90)*b=0.9
b=0.9/sin(90)
b= 0.9
Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12