Answer:

Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation

Mathematically solving for total distance traveled we have


Therefore the total distance traveled by the pendulum after 5 swings

Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
Answer:
$899.15
0.85(1199) - 120
Step-by-step explanation:
To find the purchase total, multiply the price by the percent paid and subtract the certificate.
The store offers a 15% discount. This means you pay 85% of the price. So the discounted price is 0.85(1199) = 1019.15
Subtract the certificate 1019.15 - 120 = 899.15
The composite function is 0.85(1199) - 120.
I do not think we need to rewrite the first two numbers in the given above because they are already the simplest forms of themselves being whole numbers. However, the third number may be rewritten as 1/2 by dividing both numerator and denominator by 5 and the last one as 2/25 by dividing both numerator and denominator by 4.
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school