Answer:
A = 16 pi units^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi ( 4)^2
A = 16 pi units^2
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<h3>Answer :</h3>
The factor of (x + y)³- (x³ + y³) is <u>3xy</u>
<h3>Step By Step Solution :</h3>
→ (x + y)³- (x³ + y³)
→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]
→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]
→ (x + y) (3xy)
→ 3xy
∴ Option d. 3xy is correct!
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Answer:
that is invalid question
Step-by-step explanation:
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:

= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634
Answer:
Step-by-step explanation:
sinD = opposite/hypotenuse = 12/15 = 4/5
cosD = adjacent/ hypotenuse = 9/15 = 3/5
sinE = opposite/hypotenuse = 9/15 = 3/5
cosE = adjacent/ hypotenuse = 12/15 = 4/5