A spherical ball of wax with a radius of 5 inches is melted and poured into a container shaped like a rectangular prism with a 1
2 answers:
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Answer:
1. Distributive property.
2. Combining like terms.
3. Addition property of equality.
4. Division property of equality.
Step-by-step explanation:
- The Distributive property states that:
- The Addition property of equality states that:
- The Subtraction property of equality states that:
- The Multiplication property of equality states that:
- The Division property of equality states that:
Given the following equation:
We can identify that the methods Maria used to solve it and the order, are:
1. Distributive property:
2. Combining (or adding) like terms:
3. Addition property of equality, because she added 36 to both sides of the equation:
4. Division property of equality, because she divided both sides of the equation by 12:
Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
