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Goryan [66]
2 years ago
7

Simplify 2 +5 + (-4 +i)

Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

the answer is 4 because

2+5+(-4+1)

= 7+(-3)

=7-3

=4

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A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
What is -14+5k-3= simplifying​
andrew11 [14]

Answer:

5k-17

Step-by-step explanation:

-14+5k-3=5k-14-3=5k-17

8 0
3 years ago
Solve the matrix equation. The inverse of the coefficient matrix is given. EXPLAIN. The answer's D. (2/9,-4/3,-1/3)
Lerok [7]

Answer:

Right answer is D number

4 0
3 years ago
43 divided by 982 with remainder
Marina CMI [18]
The answer to this question is 22.83 but if you want it rounded its 22.84
4 0
2 years ago
|3x-7| + 7 = 9 What is the first solution?<br><br> Plzzz help
posledela

Answer:

  • 3 and 5/3

Step-by-step explanation:

<u>Solving in steps:</u>

  • |3x-7| + 7 = 9
  • |3x-7|  = 2

<u>1. If 3x - 7 > 0</u>

  • 3x - 7 = 2
  • 3x = 9
  • x = 3

<u>2.  If 3x - 7 < 0</u>

  • 3x - 7 = -2
  • 3x = 5
  • x = 5/3
5 0
3 years ago
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