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3 years ago

What is 1/3 of $449.55?

Mathematics

2 answers:

iris [78.8K]3 years ago

7 0

1/3 of $449.55 is $149.85

Nadusha1986 [10]3 years ago

4 0

1/3 of $44.955 is 149.85 US$

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An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it f

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Answer:

$0$

Step-by-step explanation:

We are given that,

The fall of the acorn is represented by the function,

$S(t) =-16t^2+25$

Equating S(t) to 0 gives,

$0=-16t^2+25$

i.e. $16^2=25$

i.e. $t^{2}=\frac{25}{16}$

i.e. $t=\pm \frac{5}{4}$

Since, time cannot be negative.

So, $t=\frac{5}{4}$ i.e. 1.25 seconds is the time when the acorn will reach the ground.

Thus, from the figure below, we see that,

The interval in which the acorn is in the moving air is $0$ .

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3 years ago

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An ice cream store sells 3drinks, in 4sizes, and 8 flavors. In how many ways can a customer order a drink?

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You would take 3 x 4 which equals 12. And then you would take 12 x8 which would equal 96

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What is the slope of the line that passes through the points (-3,2) and (-1,-5)

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Answer:

m = -7/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

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3 years ago

How many lines of symmetry does a regular octagon have?

Lesechka [4]

Answer:

Step-by-step explanation:

An Equilateral Triangle (3 sides) has 3 Lines of Symmetry
A Regular Pentagon (5 sides) has 5 Lines of Symmetry
A Regular Hexagon (6 sides) has 6 Lines of Symmetry
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3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

3 years ago