Please help 10 points

Mathematics

2 answers:

m_a_m_a [10]3 years ago

5 0

Answer:

Step-by-step explanation:

A=πr2

= (3.14)(27)2

= 2289.06

aliina [53]3 years ago

3 0

Answer:

Radius or r = $\frac{diameter}{2}$ = $\frac{27}{2}$ = 13.5 m

Area of the circle = π r²

= 3.14 x 13.5²

= 3.14 x 182.25

= 572.265 m²

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Fiesta28 [93]

Answer: The maximum number of smoothies is 6 cups

Step-by-step explanation: The quantity of yogurt Kayla has is 1³/₇ cups and she needs to make smoothies that would require, 1/4 cup. The number of smoothies she can make from this available quantity can be mathematically expressed as follows;

Number of smoothies = Total Quantity/Quantity per cup

So if we represent Total quantity (1 ³/₇ cups) by x and the quantity per cup (1/4) by y, then the number of smoothies she can make from her available amount of yogurt can be expressed as follows;

Number of smoothies = x/y

The reason is simple, Kayla can determine how many cups of smoothies she can make provided she knows how much quantity each cup of smoothie would require. That means, if for example she has 10 cups of yogurt and each smoothie requires 5 cups, she simply needs to find out how many 5 cups she can get out of 10 cups, which now translates into 10 divided by 5. Similarly, she has 1 ³/₇ cups of yogurt and to determine how many ¹/₄ cups can come out of this she simply needs to divide the total quantity of yogurt by the amount each cup requires, which bring us back to the equation;

Number of smoothies = x/y

Where x = 1 ³/₇ cups of yogurt and y = ¹/₄ cup of yogurt

Number of smoothies = 1 ³/₇÷ ¹/₄

Number of smoothies = (¹⁰/₇) x (⁴/₁)

Number of smoothies = 40/7

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