Answer:
a = 2
Step-by-step explanation:
In an AP the difference between consecutive terms is common (equal), thus
t₂ - t₁ = t₃ - t₂ , that is
2a + 1 - (a + 1) = 4a - 1 - (2a + 1) ← distribute and simplify both sides
2a + 1 - a - 1 = 4a - 1 - 2a - 1
a = 2a - 2 ( subtract 2a from both sides )
- a = - 2 ( multiply both sides by - 1 )
a = 2
The height of the isosceles triangle is 8.49 inches.
<h3>
How to find the height of the triangle?</h3>
Here we have a triangle such that two of the sides measure 9 inches, and the base measures 6 inches.
So this is an isosceles triangle.
We can divide the isosceles triangle into two smaller right triangles, such that the side that measures 9 inches is the hypotenuse, the base is 3 inches, and the height of the isosceles triangle is the other cathetus.
By Pythagorean's theorem, we can write:
(9in)^2 = (3 in)^2 + h^2
Where h is the height that we are trying to find.
Solving that for h we get:
h = √( (9 in)^2 - (3in)^2) = 8.49 inches.
We conclude that the height of the isosceles triangle is 8.49 inches.
If you want to learn more about triangles:
brainly.com/question/2217700
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Answer:
I would reject the null hypothesis because it falls outside of the 95% confidence interval.
So,
Simply divide 12 by 18.
The experimental probability of tossing heads was 2 out of 3.