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FromTheMoon [43]
2 years ago
12

The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side

of the rectangle.
Mathematics
1 answer:
Daniel [21]2 years ago
8 0

9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

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I NEED HELP ASAP PLEASE!! I WILL AWARD BRAINLIEST
Irina-Kira [14]

9514 1404 393

Answer:

  • x ≥ 7
  • 54 -6m
  • y -x

Step-by-step explanation:

You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.

108. |x -7| = x -7 . . . . . true for x-7≥0

  x ≥ 7 . . . . makes the statement true

__

1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:

  54 -6m . . . . . simplified form for m < 9

__

1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive

6 0
3 years ago
( 5.6 - 1.2 ) times 1/3 =
vladimir1956 [14]

Answer:

4.4* 1/3

4.4= 4 and 4/10 so 44/10*1/3= 44/30= 22/15

22/15

Step-by-step explanation:

6 0
3 years ago
Solve this equation -k/5=7/10
liberstina [14]
-\dfrac{k}{5}=\dfrac{7}{10}\\&#10;-10k=35\\&#10;k=-3.5
4 0
3 years ago
A pair of parallel lines is cut by a transversal:
Ivenika [448]

Answer:


Step-by-step explanation:

By using the process of elimination you can immediately disclose C and D as being incorrect.

35+85=120

180-85= 95

95=35+x

95-35=60

60-10=50

I think that is the right answer, but I am may be wrong. I hope it helps! : )

3 0
3 years ago
Read 2 more answers
2w + 7 = 2(w + 5) - 8
BARSIC [14]

Answer:

no solution

Step-by-step explanation:

2w + 7 = 2(w + 5) - 8

Distribute

2w+7 = 2w+10-8

Combine like terms

2w+7 = 2w+2

Subtract 2w from each side

7 = 2

This is never true so there is no solution

7 0
3 years ago
Read 2 more answers
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