Answer:
5.7in
Step-by-step explanation:
using Pythagorean theorem
c^2=a^2+b^2
c=9in ,a=7in,b=xin
9^2=7^2+x^2
81=49+x^2
x^2=81-49
x^2=32
x=√32
x=5.7in(to the nearest tenth)
Answer:
83
supplementary is two angles that add up to 180 so 180 - 97= 83
Answer:
a. x = 82 degrees
b. All angles less than 90 degrees are 65 degrees and 33 degrees and 82 degrees in an acute triangle.
Step-by-step explanation:
A triangle has to equal to 180 degrees, add 65 and 33 together to get 98 degrees, subtract 180 from 98 to get 82 degrees. Part B is self explanatory.
First of all, let's recall the area of a triangle, knowing its base (b) and height (h):

The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is

There are three of these triangles, so the area of the whole polygon is

In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is

Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is

Answer:
That is the simplest form.
Step-by-step explanation: