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olganol [36]
3 years ago
12

Make r the subject of the formula

2%7D%29%20%7D%20" id="TexFormula1" title="v = mg \sqrt{(1 - r {}^{2}) } " alt="v = mg \sqrt{(1 - r {}^{2}) } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
serg [7]3 years ago
4 0

\huge\underline{\purple{\bold{your \: answer \: is \: in \: attachment}}}

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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
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
nataly862011 [7]

Answer:  \bold{-\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

m=\dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{-2+1}{1+1}

   =-\dfrac{1}{2}


8 0
3 years ago
Read 2 more answers
So if a video that is 15:34 how long is it when 2 times speed
rusak2 [61]

Answer:

7:47

Step-by-step explanation:

Here are two ways of solving this:

The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.

Method 1)

Use the tip. The video is 15 minutes and 34 seconds long.

Convert minutes to seconds: 15 * 60 = 900

Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds

The video is 934 seconds long.

Divide the total seconds by 2: 934/2 = 467

467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds

Answer: 7:47

Method 2)

Divide the minutes by 2 and divide the seconds by 2.

15 minutes and 34 seconds.

Divide minutes by 2: 15/2 = 7.5

Divide seconds by 2: 34/2 = 17

Now we need to add 7.5 minutes and 34 seconds.

0.5 minutes is half a minute, so it's 30 seconds.

7.5 minutes + 17 seconds =

= 7 minutes + 0.5 minute + 17 seconds

= 7 minutes + 30 seconds + 17 seconds

= 7 minutes + 47 seconds

= 7:47

Answer: 7:47

6 0
3 years ago
What is a correct expansion of (4x+1)(2x^2-2)
kirill115 [55]

Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

4 0
2 years ago
Read 2 more answers
How to use a protractor.
damaskus [11]

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

8 0
2 years ago
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