Answer:
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
Step-by-step explanation:
given,
sides of parallelogram is 20 cm and 30 cm
Angle between them is 80°. opposite angle of parallelogram are same the opposite angle is same.
other angle = 360° - 80° - 80° + 2 x = 200
x = 100°
Using cosine law
c² = a² + b² - 2ab cos γ
In ΔDAB
BD² = 30² + 20 ² - 2 × 30 × 20 cos 80°
BD = 33.039 cm
now in ΔADC
c² = a² + b² - 2ab cos γ
AC² = 20² + 30² - 2 × 30 × 20 cos 100°
AC = 38.84 cm
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
Answer: (y-3)^2= 52(x+7)
The focus is (-10, -7) and the directrix is x=16. The y-coordinate of the vertex should be same as the focus(k=-7). Then the x-coordinate of the vertex would be:
p + (-10)= 16 - p
2p= 16 + 10
p=26/2= 13
The x-coordinate of the vertex would be:
h= p+ (-10)
h= 13 - 10= 3
The vertex coordinate would be: (h, k)= (3, -7)
For a vertex (h, k), the formula for equation would be
(y-k)^2=4 p(x-h)
(y-3)^2= 4*13(x--7)
(y-3)^2= 52(x+7)
The value of x is 14 I think
Equation 1: x² + y = 7
Equation 2: 3x + 7 = 9
Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".
3x + 7 = 9
3x = 2
x = 
*********************************
x² + y = 7
(
)² + y = 7
+ y = 7
y = 7 -
y =
-
y =
Answer: (
,
)
The following formula is used to find the answer.
D = 50 mg (0.6^n)
D is the dosage
n is at any hour
Using this formula and solving the equation for it, the answer is 18.