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Eva8 [605]
2 years ago
12

If g(x)= x+1 /X-2 and h(x) = 4 - x, what is the value of (9.9)(-3)?

Mathematics
1 answer:
lukranit [14]2 years ago
6 0
The correct answer is -29.7
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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
Jordan’s baked 4 apple pies.She wants to share them equally among 3 of her neighbors.What fractional part of the pies will each
kodGreya [7K]

Answer:

they will each get 1 and 1/3 pie

Step-by-step explanation:

5 0
3 years ago
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value. two parabolas open up with f
IgorLugansk [536]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a
lesya [120]

Answer:

  • C. 0.7 yd³

Step-by-step explanation:

<u>Find the volume of cylinder:</u>

  • V = πr²h

<u>Convert the dimensions into yards:</u>

  • d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
  • h = 6 feet = 6/3 yards = 2 yards

<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0
2 years ago
What is the equation of the line that is parallel to the given line and has an x-intercept of –3?
balandron [24]
The slope would be the same as that of the given line, and when plugging in (-3,0) into the new equation, you’ll find the y-intercept. If you could give the original given line equation I’d be happy to show you!
6 0
3 years ago
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