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3 years ago

A lamp post 15 feet high casts a shadow

Mathematics

1 answer:

miv72 [106K]3 years ago

8 0

Here you go! I decided to write it down for you. Sorry for the bad handwriting! :)

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8) The height of a building h varies directly as the length and inversely as the width, if h = 25m when l = 10m and w = 5m, find

shtirl [24]

Let h,l, and w represent the height, length, and width of the building respectively

Then

$\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}$ $\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}$ $\Rightarrow h=\frac{12.5l}{w}$

The new value of h = 50m, but l remains the same.

That is l = 10m

Therefore

$\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}$

Hence, the width is 2.5m

8 0

1 year ago

I JUST NEED #13 please and thnx

emmainna [20.7K]

$\bf \cfrac{18}{32}\implies \cfrac{2\cdot 3\cdot 3}{2\cdot 2\cdot 2\cdot 2\cdot 2}\implies \cfrac{3\cdot 3}{2\cdot 2\cdot 2\cdot 2}\implies \boxed{\cfrac{9}{16}}\qquad \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{27}{48}\implies \cfrac{3\cdot 3\cdot 3}{2\cdot 2\cdot 2\cdot 2\cdot 3}\implies \cfrac{3\cdot 3}{2\cdot 2\cdot 2\cdot 2}\implies \boxed{\cfrac{9}{16}}\qquad \checkmark$

3 0

3 years ago

What system the system that is made up of the heart,blood, and blood vessels is called the ____ this is for sceince but i cant f

Fiesta28 [93]

Answer:

Cardiovascular system

Step-by-step explanation:

8 0

3 years ago

Aaron can paint a door in 6 h, and Ana can do the same job in 3 h. Working together, how many hours will it take them to paint a

Aloiza [94]

Answer:

4.5 hrs

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Mazyrski [523]

Answer:

The answer is

<h2> $6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

$|DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813$

We have the final answer as

$6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$

Hope this helps you

5 0

3 years ago