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3 years ago

A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)

Mathematics

1 answer:

Leya [2.2K]3 years ago

6 0

Answer:

Area = 1808.64 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference = 150.72

π = 3.14

r = radius

150.72 = 2 x 3.14 x r

150.72 = 6.28 r

r = 150.72/6.28

r = 24cm

Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

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3 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

<em>Example</em>

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

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therefore

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6 0

3 years ago

Read 2 more answers

ella drew a rectangle that was 3 units wide and 4 units long. Draw a different rectangle that has the same perimeter but a diffe

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First we can find the perimeter of the given rectangle

P=2L+2W (L=length and W=width)
P=2*3+2*4
P=6+8
P=14

So now we want to come up with a different combination of numbers that would give up a perimeter of 14. We know that 14 is divisible by 2 so let's make out width 2. If we plug in 2 as the width and 14 as the perimeters, we can solve for length

14=2L+2*2
14=2L+4
10=2L (subtract 4 from both sides)
L=5

So the dimensions are 5 units and 2 units

Hope this helps!

5 0

3 years ago