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mina [271]
3 years ago
13

How can you use geometry figures to solve real world problems

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
<span>This is just one example of how you can see the geometry figures in everyday life: say you want to plan how to arrange your furniture. You take a pen and paper and you can use geometric figures to plan how to best arrange the furniture in your room. Also, you can use geometric figures to see if your objects will fit onto shelves and generally to plan the interior - the problem at hand is planning your house and the geometric figures can help you plan!</span>
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Solve equation 19 - h - h = -13
kati45 [8]

Answer:

h = 16

Step-by-step explanation:

to solve this equation

we are going to take cognizance of the positive and negative sign as any misinterpretation of the sign might influence our answer wrongly. Note this

negative × negative  = positive

positive × negative = negative

negative × positive = negative

positive × positive = positive

so, from the question 19 - h - h = -13

19 - h - h = -13

19 -2h = -13

collect the like terms

19 + 13 = 2h

32 = 2h

divide both sides by the coefficient of h which is 2

32/2 = 2h/2

16 = h

therefore h = 16

4 0
3 years ago
Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.
Nikitich [7]

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let <u>D</u> and <u>Q</u> stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

  <u> D + Q = 17</u>

We also learn that they amount to 275 (pennies).  We can write that as:

<u>10D + 25Q = 275</u>  [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns.  We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:  

 D + Q = 17

<u>   D = 17 - Q</u>

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

<u>Q = 7  :  7 Quarters.</u>

<u></u>

Since D + Q = 17:

D + 7 = 17

<u>D = 10 Dimes</u>

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1.  Is this 17 coins in total?  (7+10 = 17)  <u>YES</u>

2.  Does this add to $2.75?  (10*10) + (7*25) = 275 cents?

 (100 + 176) = 275 (cents)   <u>YES</u>

============================

Lily has 7 Quarters and 10 Dimes

8 0
3 years ago
Convert the function into standard form:<br><br> y = (x + 4)(x - 6)<br><br> Show your work!!!
NikAS [45]

y = (x + 4)(x - 6)\\\\y=x^2-6x+4x-24\\\\y=x^2-2x-24

8 0
3 years ago
Read 2 more answers
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
What is the slope of the line that is parallel to y=−5x+7?
zheka24 [161]

Answer:

-5

Step-by-step explanation:

<u>Slope- intercept form:</u>

y= mx +c, where m is the slope and c is the y-intercept

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of the x term. Here the coefficient is -5, thus the slope of the given line is also -5.

Parallel lines have the same slope. Thus, the slope of the line that is parallel to y= -5x +7 will have a slope of -5.

3 0
3 years ago
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