Answer:
3 3/8
Step-by-step explanation:
Correct me if I'm wrong
Answer:
They are perpendicular
Step-by-step explanation:
2/7 for the first
-7/2 for the second
![$\frac{(x+1)(x-3)}{x^{2}}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%28x%2B1%29%28x-3%29%7D%7Bx%5E%7B2%7D%7D)
Solution:
Given expression:
![$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%7D%7Bx%7D%7D%7B%5Cfrac%7B36%7D%7Bx-3%7D%7D)
To solve this expression:
![$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%7D%7Bx%7D%7D%7B%5Cfrac%7B36%7D%7Bx-3%7D%7D)
Apply the fraction rule: ![$\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}](https://tex.z-dn.net/?f=%24%5Cfrac%7Ba%7D%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Cfrac%7Ba%20%5Ccdot%20c%7D%7Bb%7D)
![$=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%5Cleft%28%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%7D%7Bx%7D%5Cright%29%28x-3%29%7D%7B36%7D)
Let us solve
.
Least common multiple of
is
.
Make the denominator same based on the LCM.
So that multiply and divide the 2nd term by x, we get
![$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}](https://tex.z-dn.net/?f=%24%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%7D%7Bx%7D%3D%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%20x%7D%7Bx%5E%7B2%7D%7D)
![$=\frac{36+36 x}{x^{2}}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B36%2B36%20x%7D%7Bx%5E%7B2%7D%7D)
Now, multiply by (x - 3).
![$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}](https://tex.z-dn.net/?f=%24%5Cfrac%7B36%2B36%20x%7D%7Bx%5E%7B2%7D%7D%28x-3%29%3D%20%5Cfrac%7B%2836%20x%2B36%29%28x-3%29%7D%7Bx%5E%7B2%7D%7D)
![$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Cleft%28%5Cfrac%7B36%7D%7Bx%5E%7B2%7D%7D%2B%5Cfrac%7B36%7D%7Bx%7D%5Cright%29%28x-3%29%7D%7B36%7D%3D%5Cfrac%7B%5Cfrac%7B%2836%20x%2B36%29%28x-3%29%7D%7Bx%5E%7B2%7D%7D%7D%7B36%7D)
Apply the fraction rule: ![\frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%7Ba%7D%3D%5Cfrac%7Bb%7D%7Bc%20%5Ccdot%20a%7D)
![$=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%2836x%2B36%29%28x-3%29%7D%7Bx%5E%7B2%7D%20%5Ccdot%2036%7D)
![$=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B36%28x%2B1%29%28x-3%29%7D%7Bx%5E%7B2%7D%20%5Ccdot%2036%7D)
Cancel the common factor 36.
![$=\frac{(x+1)(x-3)}{x^{2}}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%28x%2B1%29%28x-3%29%7D%7Bx%5E%7B2%7D%7D)
Hence the solution is
.
using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.
<h3>What is the Law of Sines?</h3>
The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.
Given the following:
- H = the length of the tree = ? (b)
- Let sin A = 30°
- a = 25
- Sin B = 65°
Apply the law of sines
sin 30/25 = sin 65/H
H = (sin 65 × 25)/sin 30
H ≈ 45 ft.
Learn more about the law of sines on:
brainly.com/question/2807639
#SPJ4
Multiply 1/5 and 26/1 across the top and bottom, and you get 26/5
From there, you can estimate that its a little more than 5 because you know that 25/5 is 5 and 26/5 should be a tiny bit greater.
Hope this helped!