A=#nickels, b=#quarters
5a + 25b = 410 total value
5(a + 5b) = 410
a + 5b = 82
a + b = 30 total no. of coins
subtracting . . . 4b = 52
thus b = 13 and a = 17
13 quarters and 17 nickels = 13*25 + 17*5 = 410 = $4.10
Answer:
A. 27 degrees, 63 degrees, 90 degrees.
Step-by-step explanation:
Let the angle of the triangle be x
<u>Given the following data;</u>
3 : 7 : 10 = 3x : 7x : 10x
We know that the sum of the sides of a triangle is equal to 180 degrees.
3x + 7x + 10x = 180
20x = 180
x = 180/20
x = 9
<u><em>For the first side;</em></u>
3x = 3 × 9 = 27°
<em><u>For the second side;</u></em>
7x = 7 × 9 = 63°
<em><u>For the third side;</u></em>
10x = 10 × 9 = 90°
Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.
Answer:
3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed
She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds
2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
Answer:
Height = 5
Minimum number of vertices in a binary tree
whose height is h.
So, there must be At least one node at each of first h levels.
Minimum number of vertices = h
So, Minimum number of vertices of height 5 is 5
The maximum number of nodes in a binary tree of height h = 
Substitute h = 5
The maximum number of nodes in a binary tree of height 5 = 
The maximum number of nodes in a binary tree of height 5 = 63
So, the maximum number of vertices in a binary tree with height 5 is 63
