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notka56 [123]
4 years ago
11

15 postcards, 10 envelopes, and a notepad cost 1 dollar and 68 cents. The envelope is 8 times cheaper than the notepad and 2 cen

ts more expensive than the postcard. What is the price of the postcard, the envelope and the notepad?
Mathematics
1 answer:
Vlad1618 [11]4 years ago
3 0

15 postcards, 10 envelopes, and a notepad cost------------------- 1.68 dolars

 

 

Postcards------------x

Envelopes------------y

Notepad--------------z

 

15x+10y+z=1.68

<span>Y=z/8     y=0.02+x</span>

<span>Z=8y       x=y-0.02</span>

15(y-0.02)+10y+8y=1.68

15y-0.30+18y=1.68

<span>33y=1.98    y=0.06</span>

Z=8*0.06=0.48

X=0.06-0.02=0.04

Costs

Postcards------------0.04 dolars/ 4 cents

Envelopes------------0.06 dolars/ 6 cents

<span>Notepad--------------0.48 dolars/ 48 cents</span>

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What is the length of BC in the right triangle below
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<h2><em>1</em><em>5</em><em> </em><em>units</em></h2>

<em>The </em><em>length </em><em>of </em><em>BC </em><em>is </em><em>1</em><em>5</em><em> </em><em>units.</em>

<em>Solution,</em>

<em>Hypotenuse(</em><em>h)</em><em>=</em><em>?</em>

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<em>base(</em><em>b)</em><em>=</em><em>9</em>

<em>Using </em><em>Pythagoras</em><em> </em><em>theorem</em><em>,</em>

<em>{h}^{2}  =  {p}^{2}  +  {b}^{2}  \\ or \:  {h}^{2}  =  {12}^{2}  +  {9}^{2}  \\ or \:  {h}^{2}  = 12  \times 12 + 9  \times 9 \\ or \:  {h}^{2}  = 144 + 81 \\ or \:  {h}^{2}  = 225 \\ or \: h =  \sqrt{225}  \\ or \: h =  \sqrt{ {15}^{2} }  \\ h = 15</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

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4 years ago
Read 2 more answers
An horse gallops 200ft turns and trots 350ft turns again and travels 410ft
bija089 [108]

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

<h3>What is the Heron's formula?</h3>

The Heron's formula is given as;

√s(s-a)(s-b)(s-c)

where s is half the perimeter of the triangle

WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.

Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft

Semi perimeter =  960 ft/ 2 = 480 ft

Area =  √s(s-a)(s-b)(s-c)

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Area =  √480 (2548000)

Area = 34971.98

The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.

Learn more about the Heron's formula;

brainly.com/question/20934807

#SPJ1

The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

6 0
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