Answer:
k=9
Step-by-step explanation:
First find r=22/20=1.1
The sum of the first k terms formula is a1•(1-r^k)/(1-r)
a1=20 and the sum is 271.59
Now plug in these values in the formula and find k.
271.59=20(1-1.1^k)/(1-1.1)
When you simplify this equation, you will get k=ln(2.358)/ln(1.1)
k=9
Answer:
80 square units
Step-by-step explanation:
The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.
In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.
Putting these numbers into the formula, we find the area to be ...
A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units
The area of the triangle is about 80 square units.
From greatest to least it goes |-34| , |26| , -|-20| , -23 , -|28|
An arc is a segment of a circle. An arc measure is the measure of a angle that the arc creates in the center of a circle while an arc lenght is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians =180 degrees.
Answer:
the value of c= 25
Step-by-step explanation:
The algebra tiles represent the perfect square trinomial x^2 + 10x + c
To get perfect square trinomial we apply completing the square method
In completing the square method we take half of the coefficient of middle term and then square it
10/2= 5
5^2 = 25
25 make the expression a perfect square trinomial
x^2 + 10x+ 25
so , the value of c= 25
