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kati45 [8]
3 years ago
6

) a rectangular box has length 12 inches, width 20 inches, and a height of 7 inches. find the angle between the diagonal of the

box and the diagonal of its base. the angle should be measured in radians.
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

We assume the base is 12 in × 20 in, so its diagonal has length

... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches

Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:

... tan(α) = (7 in)/(4√34 in) ≈ 0.300123

The angle will be the arctangent of this value,

... α = arctan(7/√544) ≈ 0.291569 radians

You might be interested in
–34 = –2(g − 70) g = _____
olganol [36]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>g = 87</em>

▹ Step-by-Step Explanation

-34 = -2(g - 70)

<u>Divide both sides</u>

17 = g - 70

<u>Rearrange the terms</u>

-g + 17 = 70

<u>Calculate</u>

-g = -87

<u>Change the signs</u>

g = 87

<u>Final Answer</u>

g = 87

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

7 0
3 years ago
Read 2 more answers
Pleaseeeeee helppppp, ill give you brainley i promise
Dima020 [189]
Its the third one for the answer
8 0
2 years ago
Which of the following represents x = 1/3y written in general form?
DerKrebs [107]

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

5 0
3 years ago
Read 2 more answers
There are eleven people on a softball team and nine different positions. Work through the questions to determine how many ways a
jek_recluse [69]

Answer:

19958400

10

8

1814400

Step-by-step explanation:

* Lets explain how to solve the problem

- Permutation is the act of arranging the members into order

- The number of permutations of n members taken r at a time is

  denoted by nPr

- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1

* Lets solve the problem

- There are eleven people on a softball team

∴ n = 11

- There are nine different positions

∴ r = 9

∴ The number of ways can be made = 11P9

∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400

* The number of total arrangements of the player is 19958400

- If Amy does not want to play pitcher

∵ They are 11 players

∴ The number of players can be pitch = 11 - 1 = 10

* If Amy does not want to play pitcher, then there are now 10 people

 available to pitch

- Assuming the pitcher has already be chosen

∴ There are 10 remaining players

∵ The positions are 9

∴ The remaining positions = 9 - 1 = 8

* There are 8 remaining positions

- Lets find how many ways to arrange the remaining positions

∵ n = 10

∵ r = 8

∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400

* The number of ways to arrange the remaining players is 1814400

4 0
2 years ago
Read 2 more answers
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input w
vekshin1
You have the polygon MNOPQR which can be expressed as two rectangles pasted one next to each other.

To see the two rectangles in the picture, you can draw a line parallel to segment MR througn point N.

From the original picture you can state the dimensions of both rectangles.

Call S, the point where the line that you drew intercepts the segment RQ.

Then one rectangle is MNSR and the other rectangle is OPQS.

The measures of the sides of the rectangle MNSR are:

- the length of MN = length of SR = base

- the length of MR = the length of NS.= height

So its area is base * height, which you can all A1.

The measured of the rectangle OPQS are:

- segment OP = segment SQ = segment QR - segment SR = base

- segment PQ = segment OS = height

So its area is base * height, which you can call A2.

Then the area of the polygon MNOPQRS is A1 + A2. One of them is 9 u^2 and the other is what the answer is asking for, and that you have calculated above.

With this procedure you can tell the value needed.   

 
8 0
3 years ago
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