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umka21 [38]
2 years ago
12

The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch

bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.

Mathematics
1 answer:
Anna [14]2 years ago
7 0

Answer:

Width of the box = 18.97 inches

Step-by-step explanation:

Length of the bat = 36 inches.

That means length of the diagonal of the bat (BC) = 36 inches

By applying Pythagoras theorem in right triangle BDC,

BC² = BD² + CD²

BC² = (30)² + w² -------(1)

BY applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

(36)² = 6² + BC²

By substituting the value of BC from equation (1),

(36)² = 6² + (30)² + w²

1296 = 36 + 900 + w²

w² = 1296 - 936

w = √360

w = 18.97 inches

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Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

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The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Which statements are true of the graph of h(x) = 3/4-4? Check all that apply.
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.

If s=speed of the helicopters

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Representing this on a number line:

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Since the options are not given, I would list the mistakes made by Miche.

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