A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
2 answers:
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Answer:
Step-by-step explanation:
∵ The volume of the pyramid = 1/3 base area × height
∵ The base is equilateral Δ with side length 4
∴ The area of the bast = 1/4 × 4² × √3 = 4√3 units²
To get the height of the pyramid draw it from the vertex of the top of the pyramid ⊥ to the base on the centro-id of the base which divides the height of the triangle two ratio 2:1 from the vertex of the triangle
∵ The height of the base = √(4² - 2²) =√12 = 2√3
∴ 2/3 the height = 4√3/3 ⇒ (2:1 means 2/3 from the height)
∴ The height of the pyramid = √[4² - (4√3/3)²] = √[16 - 48/9]
∴ h = 4√2/√3 (4√6/3 in its simplest form)
∴ V = 1/3 × 4√3 × 4√2/√3 = 16√2/3 units³
∴
Answer: She has 40 nickels and 40 quarters .
Step-by-step explanation:
Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.
You know that she has a total of $12 in nickels and quarters. In cents, this is:
Then, based on this you can write the following expression:
Since , you can rewrite it as:
Solving for "n", you get:
Therefore she has 40 nickels and 40 quarters .