Rewrite the sum product of the gcf 9+15 and a new sum
1 answer:
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By applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
<h3>What is the Pythagorean Theorem?</h3>If c is the hypotenuse of a right triangle, and the lengths of the two legs are a and b respectively, the Pythagorean Theorem states that, c = √(a² + b²).
The diagram showing the new highway is attached below.
The diagram represents a right triangle. SO, apply the Pythagorean Theorem to find how long it is to travel on the new highway from point A to B.
Thus:
AB is the hypotenuse of the right triangle.
AB = √(AC² + BC²)
Plug in the values
AB = √(12² + 5²)
AB = 13 miles.
Moving from A to B without the highway = AC + BC = 12 + 5 = 17 miles.
Miles saved travelling on the new highway = 17 - 13 = 4 miles.
Therefore, by applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
Learn more about Pythagorean Theorem on:
Answer:
lower limit is n=1
upper limit is n=18
n=1 to 18∑(7n-4)
Number of beads = 1125
Step-by-step explanation:
Given series is 3+10+17+24.....
we find the formula to find nth term(explicit formula)
first term (a1) = 3
common difference (d)= 7
total of 18 rows
So we find sum for n =1 to 18
lower limit is n=1
upper limit is n=18
n=1 to 18∑(7n-4)
(b) to find total number of beads we apply sum formula
n=18, a=3, d= 7
S= 9(125)=1125
Number of beads = 1125