Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
The rectangular prism having a length of 1 feet, width of 2 feet and that
is 1 feet deep, gives the area Mila stained as<u> 8 square feet</u>.
<h3>How can the area that Mila stained be found?</h3>
The given dimensions of the rectangular prism bin are;
Length of the bin = 2 foot
Width of the bin = 1 feet
Depth of the bin = 2 feet
Required:
The surface area of the rectangular prism bin.
Solution:
The surface area, S. A., of the rectangular prism bin is given as follows;
S. A. = Length × Width + Depth × Width + Length × Depth
Which gives;
S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8
- The surface of area Mila stained, S. A. =<u> 8 ft.²</u>
Learn more about surface area of a rectangular prism here:
brainly.com/question/987829
Answer:
=5
Step-by-step explanation:
Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.
a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts
= b) Here pressure and temperature have no choice as lowest is selected.
no of methods = no of catalysts x 1 x1
= 5
Answer:
Step-by-step explanation:
Answers:
Reason 3: Definition of Parallelogram
Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
Reason 6: ASA Congruence Property
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Explanations:
Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments
Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD
Explanation for Reason 5: Any segment is congruent to itself; ie, the same length
Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.
