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3 years ago

A rectangular room is 6.8 meters longer than it is wide, and perimeter is 29.6 meters. Find the dimensions of the room.

Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

Answer:

dimensions = 10.8 X 4

Step-by-step explanation:

Breadth/ width of room = x

Length of room = 6.8 + x

perimeter = 2 ( L + B )

29.6 = 2 ( 6.8 + x + x )

29.6/2 = 6.8 + 2x

14.8 - 6.8 = 2x

8 = 2x

8/2=x

4=x

Length of room = 6.8 + x = 6.8 + 4 = 10.8 m

Breadth/ width of room = x = 4m

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Stilton is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied

timofeeve [1]

Answer:

$19.76

Step-by-step explanation:

First you turn the 15% to 0.15 and then you multiply it with $25 to get 3.75.

That isn't the meal though, but the discount you are going to get.

Now subtract 3.75 from 25 to get $21.25

After that multiply 21.25 with 7% which gets you 1.4875

Then, subtract 1.4875 from 21.25 to get 19.7625 which is rounded to $19.76

3 0

3 years ago

Please help me with precalculus??<br>linear and angular speed

Anit [1.1K]

13)

there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

$\bf \cfrac{4\underline{\pi} }{5~\underline{s}}\cdot \cfrac{rev}{2\underline{\pi} }\cdot \cfrac{60~\underline{s}}{min}\implies \cfrac{4\cdot 60~rev}{5\cdot 2~min}\implies \cfrac{240~rev}{10~min}\implies 24\frac{rev}{min}$

14)

$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
r=\cfrac{90}{10\pi }m$

15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

4 0

3 years ago

Find the difference <br><br><br> 15 - (-15)

Yuki888 [10]

Answer:

Step-by-step explanation:

Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:

A positive sign & A positive sign = Positive number.

A positive sign & A negative sign = Negative number.

A negative sign & A negative sign = Positive number.

In this case:

- (-15) = + 15

Simplify. Combine like terms:

15 + 15 = 30

30 is your answer.

8 0

3 years ago

I need help with this question. Melissa is baking a birthday cake for her best friend and the preparation time is 12 minutes, wh

Otrada [13]

Answer:

I put all the steps down. I don't know which one you want. I hope you understand it now.

Step-by-step explanation:

b = baking time

p = preperation time

p = 1/3b

12 = 1/3b

b = 12*3

b = 36 minutes

5 0

2 years ago

Consider two people being randomly selected. (For simplicity, ignore leap years.)

inna [77]

Answer:

$(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}$

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

$=\frac{12}{365} X\frac{12}{365} = \frac{144}{133225}$

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on same day of same month) = 1

P(2 people selected not having birthday on same day of same month):

$= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}$

P(2 people selected have birthday on the same day of same month) $= 1-\frac{364}{365} \\\\= \frac{1}{365}$

7 0

3 years ago