Answer:
c = 24.34
Step-by-step explanation:
Here, we can use the cosine rule
Generally, we have this as:
a^2 = b^2 + c^2 - 2bcCos A
12^2 = 14^2 + c^2 - 2(14)Cos 19
144 = 196 + c^2 - 26.5c
c^2 - 26.5c + 196-144 = 0
c^2 - 26.5c + 52 = 0
We can use the quadratic formula here
and that is;
{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2
(26.5 + 22.23)/2 or (26.5 - 22.23)/2
24.37 or 2.135
By approximation c = 24.34 will be correct
In order to do this, all you have to do is divide the area by the width
9514 1404 393
Answer:
46
Step-by-step explanation:
The length of base CD is twice the length of midsegment FG, so you can write the equation ...
CD = 2×FG
-3x +52 = 2(13 +5x)
52 = 26 +13x . . . . . . . . add 3x, simplify
26 = 13x . . . . . . . . . subtract 26
2 = x . . . . . . . . . . divide by 13
Then the measure of CD is ...
CD = -3x +52 = -3(2) +52 = -6 +52
CD = 46
Answer:
128.57°
Step-by-step explanation:
A regular heptagon is a 7-sided polygon whose 7 interior angles all have the same measure. The measure of each of them in degrees can be computed from the formula
interior angle measure = 180(n-2)/n . . . where n = 7 is the number of sides
interior angle measure = 180(5/7) = 128 4/7 ≈ 128.57
The measure of one interior angle of a regular heptagon is about 128.57°.
_____
The polygon does not have to be regular to find an interior angle. It needs to be of such a nature that the interior angles are known from the description of the polygon. For example, an <em>isosceles right triangle</em> is not a regular polygon, but you know that the measure of one acute angle is 45°.
We need to expand and add the formula
from 3 to 6, inclusive.
which is equal to
The answer is D. 17 + 22 + 27 + 32