<em>16/9</em>
- Step-by-step explanation:
<em>1,7777777777777 = </em>
<em>= 1,(7)</em>
<em>= (17 - 1)/9</em>
<em>= 16/9 </em>
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft
Answer:
4/5x(v-7)=2
multiply both sides by 5/4, the reciprocal of 4/5
v-7=2x(5/4)
Express 2x(5/4) as a single fraction
v-7=<u>2</u><u>x</u><u>5</u>
4
Multiply 2 and 5
v-7=<u>1</u><u>0</u>
4
Reduce the fraction 10/4 to the lowest by extracting and cancelling 2
v-7=<u>5</u>
2
Add 7 to both sides
v=<u>5</u>+7
2
Covert fraction to 14/2
v=5/2+14/2
Since 5/2 and 14/2 have the same denominator, add them by adding their numerators
v=<u>5</u><u>+</u><u>1</u><u>4</u>
2
Add 5 and 14 together
v=<u>1</u><u>9</u>
2
Since $14 is the price after a 30% discount then $14 is 70% of the original price.
$14/70=x/100 (100% would be the original price)
1400=70x or 1400/70 = $20!
You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!