Step-by-step explanation:
We are going to start by working out the interior angles so first of all to work out the interior angle we used the formula: num of sides - 2 * 180 for the sum of degrees in a shape.
Lets test this formula.
Lets say we have a square it has 4 sides 4-2 = 2 *180 = 360 this is correct,meaning we can trust this formula.
Now lets put it to use.
Octagon has 8 sides - 2 = 6.
6 * 180 = 1080
Pentagon has 5 sides - 2 = 3
3 * 180 = 540
Another Pentagon 5 sides - 2 = 3
3 * 180 = 540
We have to find out a single angle because it is one side that joins to the other, also if it is a perfect fit then all the single angles must add up to 360.
1080/8 sides = 135 degrees
540 / 5 sides = 108 degrees
540 / 5 sides = 108 degrees
We add these up,
135 + 108 + 108 = 351 which cannot be a possible fit because we need 360 degrees.
Hope this helps
Answer:Given : A triangle has sides of length 7 cm, 12 cm, and 15 cm .
To find :Angle opposite the side that is 7 cm long? Round to the nearest degree.
Solution : We have a triangle of sides a=7 cm, b= 12 cm, c=15 cm.
By using cosine rule : a² = b²+c²- 2 bc cos(A).
Where angle A is opposite to side a=7 cm.
Plugging the values in formula ,
(7)² = (12)²+ (15)²- 2(12)(15) cos(A).
49 = 144 + 225 - 360 cos(A).
49 = 369 - 360 cos(A) .
-320 = - 360 cos(A) .
On dividing by - 360 and switching side
A = cos^{-1}(0.89) = 27 \ degrees .
Therefore, angle opposite the side that is 7 cm is 27 degrees.
Answer:
18 seeds
Step-by-step explanation:
3 x 6 = 18 seeds
3/5 x 30 = 18 seeds
Hope that helps!
Julie bought (n) shirts. Each shirt cost $25. The total amount Julie spent on shirts was $125. How many shirts did Julie buy?
The perimeter for the rectangle is 64.5m.
