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:
sln
3b-2a=7
3b-7=2a(divide by 2 both sides)
a=3b-7/2
A=84 and r=1/5
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
Answer:
the answer is d.
Step-by-step explanation:
D} the independent variable is cows, and the dependent variable is milk.
The independent variable is cows, and the dependent variable is milk.
The value of the independent variable, often denoted by x, does not depend on the value of another variable. The value of the dependent variable, often denoted by y, depends on the value of the independent variable.
