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labwork [276]
3 years ago
7

Three times a number increased by 8 is no more than the number decreased by 4. Find the number.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

  • (-oo, -6]

Step-by-step explanation:

Let the number be x

  • 3x + 8 ≤ x - 4
  • 3x - x ≤ -4 - 8
  • 2x ≤ -12
  • x ≤ -6
  • x = (-oo, -6]
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A ladder leans against the side of a house. The angle of elevation of the ladder is 71 degrees, and the top of the ladder is 13f
Oksana_A [137]

Answer:

4.47 feet

Step-by-step explanation:

Given that,

The angle of elevation of the ladder is 71 degrees.

The top of the ladder is 13ft above the ground.

We need to find the distance from the bottom of the ladder to the side of the house. Let the distance is x. We can find it using trigonometry as follows :

\tan\theta=\dfrac{P}{B}\\\\\tan(71)=\dfrac{13}{x}\\\\x=\dfrac{13}{\tan(71)}\\\\x=4.47\ ft

So, the distance from the bottom of the ladder to the side of the house is 4.47 feet.

8 0
3 years ago
When the following fraction is reduced, what will be the exponent on the m? 27mn^3/56m^6n
Oksi-84 [34.3K]
From my research the answer for this question is 5
5 0
3 years ago
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What are the coordinates of point c?
elixir [45]

Answer:

(-4,0)

Step-by-step explanation:

We start at the origin (where the lines cross)

We will go left 4 units.  That is the x coordinate (-4)

We go up 0.  That is the y coordinate

(x,y)

C = (-4,0)

5 0
3 years ago
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sergij07 [2.7K]

Answer:I believe the answer is 34

Step-by-step explanation:

7 0
3 years ago
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Um help! how do I do this?
valkas [14]
1/2 t-4(2+t)=20
1/2 t-8-4t=20
least common multiple=2
t-16-8t=40
-7t=40+16
-7t=56
t=56/-7=-8

Answer: t=-8

To check
-8/2 - 4(2-8)=-4-4(-6)=-4+24=20
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3 years ago
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