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ivann1987 [24]
2 years ago
11

What is the slope of a line perpendicular to the line y = 2x + 5? Type a numerical answer in the space provided. Do not type spa

ces in your answer. If necessary, use the / key to represent a fraction bar.
Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer:

  -1/2

Step-by-step explanation:

The slope of the given line is the coefficient of x, which is 2.

The slope of the perpendicular line is the negative reciprocal of that:

  -1/2

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When pascal built a dog house, he knew he wanted the floor of the house to have an area of 24 square feet. He also wanted the wi
castortr0y [4]
The length would be 6 and the width would be 4 to get 24 as the area.
5 0
3 years ago
Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0
eduard
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2787701

_______________


\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}


Square both sides:

\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}

\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}


Since \mathsf{sin\,\theta} is positive, you can discard the negative sign. So,

\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}


Substitute this value back into \mathsf{(i)} to find \mathsf{cos\,\theta:}

\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}


I hope this helps. =)


Tags:   <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0
2 years ago
A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% ch
Viktor [21]

A small company plans to invest in a new advertising campaign.

There is a 20% chance that the company will lose $5,000 ,

50% chance of a break even, and a 30% chance of a $10,000 profit


So the expected value from the advertisement campaign is calculated as - 20% of 5000 + 0% of 5000 + 30% of 10,000

= -1000 + 0 + 3000

= 2000


The expected value from the advertisement campaign is $2000.

So the Company must go ahead with the campaign.


Answer : Option A


Hope it helps.


Thank you ..!!

3 0
3 years ago
What is 1/2 times 5/2
Elena L [17]

Answer:

1/2 x 1/5 is .1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 64. the width is 3 less than the length. the equation for the scenario is 2x 2(x â€"" 3) = 64. wh
DerKrebs [107]

The  variable x represent the length of rectangle.

<h3>What is Algebra?</h3>

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter= 64 units

let the length be x.

So, width = x - 3

So, Perimeter of rectangle = 2 ( l + w)

64 = 2( x+ x -3)

32 = 2x -3

29= 2x

x= 29/2

Hence, the variable x represent the length of rectangle.

Learn more about Algebra here:

brainly.com/question/24875240

#SPJ1

6 0
1 year ago
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