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bezimeni [28]
3 years ago
6

A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

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What’s Distribute -x(5x+2)
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Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

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3 years ago
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There are 5,426 people seated at tables. Each table seats 8 people.
ddd [48]

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

  • Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

  • 0.25 table= 8*0.25= 2 people are sitting at a table that is not full

or

  • 5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?​

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6 0
3 years ago
kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying t
aksik [14]
Kaitlin bought 4 pounds of coffee.

70-39.24=30.76
30.76 ÷ 7.69= 4
8 0
2 years ago
Solve the following equation by first writing the equation in the form ax² = c
alexandr1967 [171]

The solution to the given equation is x = ±7. The correct option is d. x = ±7

<h3>Solving quadratic equations </h3>

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

Learn more on Solving quadratic equations here: brainly.com/question/24334139

#SPJ1

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2 years ago
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xxTIMURxx [149]

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

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