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castortr0y [4]
3 years ago
7

An office building casts a shadow that is 55 m long. At the exact same time, a 5 m tree casts a shadow that is 1.1 m long. Use s

imilar triangle ratios, to calculate the height of the office building.
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

would you need to divide them???

Step-by-step explanation:


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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
Find the smallest value of k such that 16k is a perfect cube.​
IrinaK [193]

Answer:

0

Step-by-step explanation:

The smallest perfect cube would be 0 since it cannot be negative and zero raised to the third power would still be 0

3 0
3 years ago
Read 2 more answers
ILL BRAINLIEST YOU IF YOU PLEASE HELP ME
Eddi Din [679]
1 < x < 5

Left side is 1 and right is 5
5 0
2 years ago
Which expression shows the perimeter of the triangle in simplest form?
ankoles [38]

Answer:

D. 6x + 3

Step-by-step explanation:

A perimeter is just the sum of all sides of a shape.

First, write an equation to add all sides of the triangle:

(x + 4) + (3x - 2) + (2x + 1)

What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:

x + 3x + 2x + 4 -2 + 1

6x + 3

And that's our final answer: 6x + 3

I would appreciate brainliest, have an amazing day!

7 0
2 years ago
Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined
ss7ja [257]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
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