The answer is y = -5x/2 + 5
Answer:
length = 78 m , width = 27 m
Step-by-step explanation:
let w represent width then length l = 3w - 3
the perimeter (P) is calculated as
P = 2l + 2w = 210 , substitute values
2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side
6w - 6 + 2w = 210
8w - 6 = 210 ( add 6 to both sides )
8w = 216 ( divide both sides by 8 )
w = 27 and l = 3(27) - 3 = 81 - 3 = 78
Then length = 78 m and width = 27 m
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
![tan(30)=AB/BD\implies 8/\sqrt{3}](https://tex.z-dn.net/?f=tan%2830%29%3DAB%2FBD%5Cimplies%208%2F%5Csqrt%7B3%7D)
<h3>What is the height of the triangle?</h3>
Height of the tree=AB+AD
![=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16%7D%7B%5Csqrt%7B3%7D%20%7D%2B%5Cfrac%7B8%7D%7B%5Csqrt%7B3%7D%20%7D%20%7D)
![=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m](https://tex.z-dn.net/?f=%3D%5Cfrac%7B24%7D%7B%5Csqrt%7B3%7D%20%7D%20%5C%5C%3D8%5Csqrt%7B3%7Dm)
Therefore the height of the triangle is 8root3.
To learn more about the height visit:
brainly.com/question/12903285
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Answer:
7 ÷ 4/5 is 8.75 as a decimal or 8 3/4 as a fraction
We know that the 2 triangles are proportional and are similar so that means there must be a scale factor between the sides of the triangles. To find the D, we need to use the scale factor and multiply it by CD to find DE. The scale factor can be found by dividing 2 similar sides so: EF divided by DG is 5/1.25 which is 4. We can then multiply the scale factor which is 4 by CD so: 3.25 * 4 is 13. DE = 13