I use a calculator and made sure it was in degrees
15 is 60 percent of 25. 15x100/60 and it should be 25.
Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r = 
= 
= - 3 , then
a₈ = 5 × 
= 5 × - 2187 = - 10935
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
<span>According to the Exterior Angle Theorem, the</span> measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
11x+2=5x+10 + 58
6x=66
x=11
