Answer:
(36π -72) cm²
Step-by-step explanation:
The area of a segment that subtends arc α (in radians) is given by ...
A = (1/2)r²·(α - sin(α))
Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...
A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²
Answer
Step-by-step explanation:
First we gave a name to the side that is common for both triangles, can be Y for example.
Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.
, Because sin(x)= op/hip
, Because con(x)=ad/hip
Having this equations, we can solve the system and find x
we equal Y and solve
Then we rationalize
Hope you like it!
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
now all we have to do is get x by itself
so..
then
now take the square root of each side
2.857 seconds (rounded to the third decimal)
the value of r of the geometric series n=11.3(0.8)n-1
General formula for nth term of any geometric series is
Here 'r' is the common ratio
a_1 is the first term of the series
Now we compare the given formula with general formula
Compare with
The value of r= 0.8
Answer:
35° (I may be wrong)
Step-by-step explanation:
An isosceles triangle has an interior angle sum of 180° (like all triangles).
So...
180°-40°= 140°
And because we know that isoceles triangles and two congruent sides, we just have to divide 140° by 2.
140°÷2=70°
But the picture says 2h and h is a side so...
70°÷2=35°