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3 years ago

What is the approximate surface area of a sphere with a circumference of 37.68

1 answer:

6 0

We must find the radius so we can plug this into the formula for surface area.

Circumference = $2 \pi r$
$37.68 = 2 \pi r \\ r = 37.68/2 \pi$

We are going to plug this in as our radius for the most accurate answer.

The surface area of a sphere is $4 \pi r^{2}$

Surface Area = $4 \pi ( \frac{37.68}{2 \pi }) ^{2}$ ≈ 451.93 units

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4 years ago

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Step-by-step explanation:

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3 years ago

Siri, who is not yet 22 years old, is five years older than Lily. Write and solve an

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3 years ago

Combine and Simplify: 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3 WRITE 2 WAYS!

Bezzdna [24]

Answer:

Combining and simplifying $48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$ we get $\mathbf{-4x-34y-32}$ or we can write as $\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}$

Step-by-step explanation:

We need to combine and simplify

$48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

Like terms: terms having same variable

$48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})$

Now we take LCM of like terms

$=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})$

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

$=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32$

So, Combining and simplifying $48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})$ we get $\mathbf{-4x-34y-32}$ or we can write as $\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}$

6 0

3 years ago

Use the distributive property to simplify the expression 11 (x-5)

olga_2 [115]

The distributive property, in this case, is to multiply the number outside the parenthesis by the numbers and characters inside the parenthesis:

11 (x - 5)
11x - 55 → Simplified expression.

Hope it helped,

Happy homework/ study/ exam!

4 0

4 years ago