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Answer:
Total number of orange trees = 77 trees
Step-by-step explanation:
Given:
Total number of rows = 15
Total number of cherry rows = 4
Number of trees in each rows = 7
Find:
Total number of orange trees
Computation:
Total number of orange trees = [Total number of rows - Total number of cherry rows][Number of trees in each rows]
Total number of orange trees = [15 - 4]7
Total number of orange trees = [11]7
Total number of orange trees = 77 trees
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
We Cannot conclude that triangles DEF and LNM are similar if DF = 8 and LM = 4.
<u>Solution:</u>
Given that for two triangle DEF and LNM, DE = 8 and LM = 4.
To say that two triangles are similar the provided information is not complete.
Two triangles DEF and LNM , will be similar if there corresponding sides are in ratio which means
But we have only information of 
But do not have any information regarding two remaining ratios that are 
Hence cannot conclude that triangles DEF and LNM similar if DF = 8 and LM = 4
Answer:
The answer is "
"
Step-by-step explanation:
Please find the graph file.
![h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\](https://tex.z-dn.net/?f=h%3D%20y%3D2x-x%5E2%5C%5C%5C%5Cr%3D%20x%5C%5C%5C%5CArea%3D2%5Cpi%5Ctimes%20r%5Ctimes%20h%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%20x%20%5Ctimes%20%282x-x%5E2%29%5C%5C%5C%5C%3D%202%20%5Cpi%20%5Ctimes%202x%5E2-x%5E3%5C%5C%5C%5Cvolume%20%5C%20V%28x%29%3D%5Cint%20%5C%20A%28x%29%5C%20dx%5C%5C%5C%5C%3D%20%5Cint%5E%7Bx%3D1%7D_%7Bx%3D0%7D%202%5Cpi%20%282x%5E2-x%5E3%29%5C%20dx%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2x%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E4%7D%7B4%7D%29%5D%5E%7B1%7D_%7B0%7D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5B%28%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%29-%280-0%29%5D%20%5C%5C%5C%5C%3D%202%5Cpi%20%5Ctimes%20%5Cfrac%7B5%7D%7B12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5Cpi%7D%7B6%7D%5C%5C%5C%5C)
