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Nitella [24]
3 years ago
6

A(0, 1), B(4,1), C(1, 2), D(1,6): AB and CD

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
The answer is D because I took the test
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How high is the poster?
Mila [183]

Answer:

24

Step-by-step explanation:

12 x 2

7 0
3 years ago
Read 2 more answers
What is the fraction twelve twentieths in its simplest form
Alla [95]
You mean \frac{12}{20} or \frac{20}{12} ?

If you had meant, \frac{12}{20}, then the simplest form of this fraction would be - \frac{3}{5}

Divide both parts of the fraction by 4, and you get \frac{3}{5}the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - \frac{20}{12}
Flop the simplest form of the previous fraction, that's \frac{5}{3}

If you had meant \frac{20}{12}, then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - \frac{3}{5} or \frac{5}{3}<span>. We can't divide it any further. So, we know that it is in its simplest form.
</span>
L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
\frac{12}{20} or \frac{20}{12}

1) 
Divided by 2 = \frac{6}{10} or \frac{10}{6}

2) 
Next, also by 2 = \frac{3}{5} or \frac{5}{3}

That took much longer, right.
<span> So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.</span>

3 0
3 years ago
Read 2 more answers
A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-fo
Archy [21]

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree  = 48 foot

\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48

Proportion can be used to find the height = 0.75

5 0
3 years ago
Jerome burns 4 cal/min walking and 10 cal/min running. He walks between 10 and 20 min each day and runs between 30 and 45 min ea
erik [133]

Answer:

20 minutes should spend on walking and 30 minutes on running.

Step-by-step explanation:

Let x represents the minutes spent on walking and y represents the minutes spent on running,

∵ He burns 4 cal/min walking and 10 cal/min running,

So, the total calories burnt,

Z = 4x + 10y

Which has to be maximised.

Now, he walks between 10 and 20 min each day,

i.e. 10 < x < 20,

Also, he runs between 30 and 45 min each day,

i.e. 30 <  y < 45,

By graphing 10 < x < 20 and 30 <  y < 45,

We obtained the vertices of feasible region,

(10, 45), (20, 45), (10, 30) and (20, 30)

At (10, 45),

Z = 4(10) + 10(45) = 40 + 450 = 490,

At (20, 45),

Z = 4(20) + 10(45) = 80 + 450 = 530,

At (10, 30),

Z = 4(10) + 10(30) = 40 + 300 = 340,

At (20, 30)

Z = 4(20) + 10(30) = 80 + 300 = 380

Hence, maximum calories is 530 when 20 minutes spent on walking and 30 minutes spent on running.

5 0
3 years ago
8 less than a number 7 times a number is the same as 4 more than 3 times the number. Find the number
Gwar [14]
X=3

7x-8=3x+4
4x=12
x=3
4 0
3 years ago
Read 2 more answers
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