The radius of a circle is 1 foot. What is the length of a 45 degree arc

1 answer:

7 0

Circumference = 2 x PI x r
circumference = 3.14 x 2 x 12 inches = 75.36 inches

45/360 = 0.125

75.36 * 0.125 = 9.42 inches

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Doug regularly mows his neighbor's lawn. Last month, Doug's neighbor paid him $55 for 6 hours of mowing. Is this situation most

nasty-shy [4]

Solution:

we are given that

Last month, Doug's neighbor paid him $55 for 6 hours of mowing.

we have been asked that

Is this situation most likely a proportional relationship?

yes..its as proportional relationship.

Because the amount that Doug get is $55 for 6 hours

It mean for each hour Doug get is $\frac{55}{6}$ $

It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given situation is most likely a proportional relationship.

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4 years ago

3x + 1 − 4x3 + 6x6 −2x2 standard form

Molodets [167]

6x6 - 4x3 - 2x2 + 3x + 1

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3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$