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Katen [24]
3 years ago
13

3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint

ed on each jar. store employees Jorge and SAM packed the jars into different boxes. Jorge packed the first 40 jars snugly into a rectangular box in rows of 4 jars each.the jars were not stacked on top of each other because in bot cases the jars were the same height as the boxes.the jars have a height of 6 inches and a diameter of 3 inches.
(a) What are the dimensions of each box in inches? show your work.
(b)Jorge and SAM bought packing foam to fill in the space between the jars and the box so that the jars will not move around. the packing foam comes in packets of 200 in^3. how many packets did each boy buy and how much packing foam did each boy need? use 3.14 for pi. round to the nearest hundredth if necessary explain your reasoning
Mathematics
1 answer:
denis23 [38]3 years ago
3 0
1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈  42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!
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ankoles [38]

Answer:

Option A. -(\frac{\sqrt{17}}{17})

Step-by-step explanation:

Equation of a given line is a + 4b = 0 or b = -\frac{1}{4}a

This in the form of y = mx + b, which is slope-intercept form.

Here slope of the line is (-\frac{1}{4}).

Or tanθ = \frac{(-1)}{4}

This line coincides with the terminal side of the angle in standard position where cosθ > 0

Since tanθ = \frac{\text{Height}}{\text{Base}}

and sinθ = \frac{\text{height}}{\txt{Hypotenuse}}

Hypotenuse = \sqrt{\text{height}^{2}+\text{Base}^{2}}

                     = \sqrt{(1^{2}+4^{2})}

                     = \sqrt{17}

Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.

Therefore, sinθ will be negative.

[ \frac{-sin\theta}{+cos\theta}=-tan\theta ]

sinθ = -\frac{1}{\sqrt{17}}

       = -\frac{1}{\sqrt{17}}\times \frac{\sqrt{17} }{\sqrt{17}} = -\frac{\sqrt{17}}{17}

Answer will be option A.

6 0
4 years ago
What is the volume of the toy car that has a density of 3 g/mL and a mass of 75 g.
GaryK [48]
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5 0
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emmasim [6.3K]

If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.

<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>

If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

The equation of unit circle is

(x-h)^2 + (y-k)^2 = 1\\\\x^2 + \dfrac{\sqrt{3} }{3}^2 = 1\\\\x^2 + \dfrac{1 }{3} = 1\\\\\\x^2 = 1 - \dfrac{1 }{3} \\\\x^2 = 2/3\\

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If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.

The correct option is D.

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4 0
2 years ago
2.
FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

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4 years ago
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zaharov [31]

Answer:

40% I believe Hope's it help

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