3x + x = 1044
4x = 1044 - divide both sides by four
x = 261
coffee table - $261
couch - $783
(8+x)/2 is the exspression and x is the variable
Hope it helps ❤️
The factors of this mathematical term is (x-2)(x+1)^2
Answer:
<em>The helicopter is 27.38 m far off the ground</em>
Step-by-step explanation:
The drawing shown in the image below has all the measures and variables needed to solve the problem.
We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.
The angle X is the measure needed to complete 180°:
X = 180° - 54° - 62° = 64°
Solving for a:
Calculating:
a = 31.11 m
Now using the sine ratio in the right triangle to the left side:
Solving for R:
R=31.11*0.88
R = 27.38 m
The helicopter is 27.38 m far off the ground
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
<h3>What is the height of the triangle?</h3>
Height of the tree=AB+AD
Therefore the height of the triangle is 8root3.
To learn more about the height visit:
brainly.com/question/12903285
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