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Luden [163]
3 years ago
14

How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= \pi r^{2}

= \pi (3x)^{2}

= 9\pi x^{2}

Total number of buttons = x

Fabric required to cover 1 button = 9\pi x^{2}  

Fabric required to cover x buttons = x(9\pi x^{2} )

=9\pi x^{3}

Hence, fabric required to cover x buttons =9\pi x^{3}  sq. units


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What is the measure of the smallest angle in the diagram?
Hunter-Best [27]

Answer:

The measure of the smallest angle is m\angle FLI=29^o

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

m\angle FLI=m\angle\ FLG+m\angle GLH+m\angle HLI ---> by Angle Addition Postulate

substitute the given values

106^o=(2x-1)^o+(x+17)^o+(4x-15)^o

solve for x

106^o=(7x+1)^o

7x=106-1\\7x=105\\x=15

Find the measure of each angle

substitute the value of x

m\angle FLI=(2(15)-1)=29^o\\m\angle GLH=(15+17)=32^o\\m\angle HLI=(4(15)-15)=45^o

therefore

The measure of the smallest angle is m\angle FLI

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3 years ago
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tatyana61 [14]
20 is your answer; the value of x
5 0
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What are the x- and y-intercepts of f(x) = x2 - 49?
LenaWriter [7]

Answer:

<h3>             x-intercepts:  (-7, 0) and (7, 0)</h3><h3>              y-intercept:  (0, -49)</h3>

Step-by-step explanation:

x-intercepts:  f(x) = 0

               x² - 49 = 0

                x² = 49

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Points:  (-7, 0)  and (7, 0)

y-intecept:   y = f(0)

f(0) = 0² - 49 = -49

Point:  (0, -49)

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3 0
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Answer:

75.2 °F

Step-by-step explanation:

(24°C × 9/5) + 32 = 75.2°F

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