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Stells [14]
3 years ago
11

Find the area of the shaded sector of the circle

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

48pi or ~150.8

Step-by-step explanation:

ok so area = pi * r^2

r = 8

8^2 = 64pi

so 64/4 = 16

16*3 quarters shaded = 48

48pi is the answer

48pi or ~150.8

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What is (x+5)(x-4)=0 Expand and solve for x
Veronika [31]

step 1

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STEP

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A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

Solving a Single Variable Equation:

2.2 Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

Solving a Single Variable Equation:

2.3 Solve : x+5 = 0

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.Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.Assume all prices listed include tax.She buys
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Answer:

Writing the inequality, we have;

420.56+32.43x\leq680

the solution to the inequality is;

x\leq8

Explanation:

Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.

Total spending must not exceed $680

\text{total spending }\leq680

She buys a new bicycle for $383.33.

• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.

She plans to spend some or all of the money she has left to buy new biking outfits

for $32.43 each.

let x represent the number of biking outfits she can buy.

Total spending is;

\begin{gathered} 383.33+2(7.61)+22.01+32.43(x) \\ 420.56+32.43x \end{gathered}

Writing the inequality, we have;

420.56+32.43x\leq680

we can now solve the inequality;

\begin{gathered} 420.56+32.43x\leq680 \\ \text{subtract 420.56 from both sides;} \\ 420.56-420.56+32.43x\leq680-420.56 \\ 32.43x\leq259.44 \\ \text{divide both sides by 32.43} \\ \frac{32.43x}{32.43}\leq\frac{259.44}{32.43} \\ x\leq8 \end{gathered}

Therefore, the solution to the inequality is;

x\leq8

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1 year ago
A baby woolly mammoth that was discovered in 2007 died approximately 39,000 years ago. How many C-14 atoms
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Answer:

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