All categories

2 years ago

What is the height of the flagpole in the diagram below

Mathematics

1 answer:

Olegator [25]2 years ago

4 0

Answer: The height of the flagpole is 12 feet.

Step-by-step explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,

Shadow of the stick is,

Shadow of the flagpole is,

Now, as these are in proportion, we have

Plug in the given values and solve for 'H'. This gives,

Hence, the height of the flagpole is 12 feet.

You might be interested in

Find the value of K to complete the square for the quadratic function y=x to the second power - 6x + k PLEASE HELP IT WOULD BE A

melisa1 [442]

It’s -k which will be 1 because you need to isolate it

7 0

2 years ago

V²=u²+2as make u as the subject <br><br>

yKpoI14uk [10]

Answer:

u as the subject of the given formula is, $u = \sqrt{v^{2}-2as }$

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v² - 2as = u²

take the square - root of both sides of the equation;

$\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }$

Thus, u as the subject of the given formula is, $u = \sqrt{v^{2}-2as }$

5 0

3 years ago

Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)

JulijaS [17]

$(x^3 + 3x^2 + 6) - (9x^2 - 5x + 7)\\\\x^3 + 3x^2 + 6 - 9x^2 + 5x - 7\\x^3 - 6x^2 + 5x -1$

8 0

3 years ago

Write the equation in slope intercept form y= 3 (x+ 1) + 5x

schepotkina [342]

Given:

$y=3(x+1)+5x$

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

$\begin{gathered} y=3(x+1)+5x \\ \\ y=3x+3+5x \\ \\ y=8x+3 \end{gathered}$

Final Answer:

$y=8x+3$

5 0

9 months ago

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos

meriva

Answer:

Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

the vertical stretch factor is 6

7 0

2 years ago