AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
Answer:
Step-by-step explanation:
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Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :

General equation of hyperbola is :

Hence, this is the required solution.
Credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
Here we have to calculate the interest and add it to capital.
That is, 2% of 1000
First month:
Interest = 1000 (2/100)
Odds1 = 1020
Second month
Capital 1020
Interest = 1020 x 0.02 = 20.4
Odds2 = 1040.4
Third month
Capital = 1040.4
Interest = 1040.4 x 0.02 = 20.808
Odds3 = 1061,208
Fourth month
Capital = 1061,208
Interest = 1061.208 x 0.02 = 21.22
Odds = 1082.43
Therefore the credit card balance each month:
First month: 1020 .00
Second month: 1040.4 0
Third month: 1061,208
Fourth month: 1082.43
Learn more about credit card balance here: brainly.com/question/17604713
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The question is incomplete. Completed question is given below:
A person owes $1000 on a credit card that charges an interest rate of 2% per month. Complete this table showing the credit card balance each month if they do not make any payments. Month total bill in dollars11,00021,02031,040.40