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Darya [45]
3 years ago
9

These triangle are similar find the value of x A. 2 B.6 C.4 D.3

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

in similarity the ratio of the similar sides is the same i.e

10/5 =8/x

2x=8

x= 4

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Answer:

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Step-by-step explanation:

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3 years ago
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
I need help with this question? Please and thank you!!!!<br> #15
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Emil is itemizing deductions on his federal income tax return and had $1900 in non-reimbursed work expenses last year. If his AG
a_sh-v [17]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below are the choices that can be found from other source:

A.$340 
<span>B.$1560 </span>
<span>C.$38 </span>
<span>D.$1862</span>

Below is the solution:

78000 x .0.02=1560 
<span>1900 - 1560=340</span>
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Studentka2010 [4]
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