Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x 
= 3/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
Answer:
Option (C)
Step-by-step explanation:
Given:
In right triangles ΔAED and CEB,
m∠AED = m∠CEB = 90°
DE ≅ BE
AD ≅ BC
To prove:
ΔAED ≅ ΔCEB
Statements Reasons
1). m∠AED = m∠BC = 90° 1). Given
2). DE = BE 2). Given
3). AD = BC 3). Given
4). ΔAED ≅ ΔCEB 4). By HL theorem of congruence
Option (C) is the answer.
Volume of a cone = π r² h/3
I envisioned a cone inside a cube. I only identified the necessary value to compute for the exact volume of the largest cone.
Edges of the cube is 10 inches. When the circle part of the cone is placed in the circle, the diameter would be 10 inches also. I divided it by 2 to get the value of the radius, resulting to 5 inches.
The height of the cone is also the height of the cube. Thus, it is 10 inches.
Volume of the cone = 3.14 * (5in)² * 10in/3
V = 3.14 * 25in² * 3.33 in
V = 261.405 in³ or 261.41 in³ VOLUME OF THE LARGEST CONE THAT CAN FIT IN A 10 INCH CUBE
