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Vesna [10]
3 years ago
12

The extremes in the proportion 3/4=15/20 are

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0
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The wheel in the adjacent figure has a radius of 61 feet. The clearance between the wheel and the ground is 11 feet. The rectang
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What is the next term in this geometric sequence<br>5/6,5/9,10/27,20/81
Ghella [55]
a_1=\frac{5}{6};\ a_2=\frac{5}{9};\ a_3=\frac{10}{27};\ a_4=\frac{20}{81}\\\\\\q=a_2:a_1\\\\q=\frac{5}{9}:\frac{5}{6}=\frac{5}{9}\cdot\frac{6}{5}=\frac{2}{3}\\\\\\a_5=a_4\cdot q\\\\a_5=\frac{20}{81}\cdot\frac{2}{3}=\frac{40}{243}\to answer
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3 years ago
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A carpenter is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if they are to
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Solve this quadratic equation by completing the square <br> x^2+6x=18
cestrela7 [59]

Answer:

( x + 3 )² - 27

Step-by-step explanation:

x² + 6x = 18

→ Minus 18 from both sides to get a quadratic equation

x² + 6x - 18

⇒Completed square from is ( x + a )² + b

⇒The value of 'a' will always be half the 'b' value in the equation

ax² + bx + c

→( x + 3 )² + b

Expand out the equation to find 'b'

x² + 6x + 9

We have do something to get from 9 to - 18 which -27

So the answer is ( x + 3 )² -27

4 0
3 years ago
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Solve. Find all solutions in [0,2).5 secx cotx+5 secx+ cotx+1=0
Dmitrij [34]
\begin{gathered} 5sec(x)cot(x)+5sec(x)+cot(x)+1=0 \\ Factoring \\ (cot(x)+1)(5sec(x)+1)=0 \\ cot(x)+1=0 \\ cot(x)=-1 \\ x=cot^{-1}(1) \\ x=\frac{3\pi}{4} \\  \\ 5sec(x)+1=0 \\ 5sec(x)=-1 \\ sec(x)=\frac{-1}{5},\text{ there is no solution} \\ Hence \\ All\text{ solution are }\frac{3\pi}{4}+\pi n,\text{ where n=1,2,3...} \\  \\  \end{gathered}

5 0
1 year ago
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