Answer:
5/8 of a mile
Step-by-step explanation:
Let the distance from Post Office to Friend's house =D
7/8 + 5/6 + D =miles - Total distance from Georgia's house to a Friend's house.
42 minutes / 18 minutes per mile =2 1/3 miles - total distance from her house to a friend's house. So, we have:
7/8 + 5/6 + D = 2 1/3, solve for D
[21 + 20] / 24 + D = 2 1/3
41/24 + D = 2 1/3 subtract 41/24 from both sides
D =2 1/3 - 41/24
D =7/3 - 41/24
D =[56 -41] / 24
D = 15 / 24
D = 5/8 of a mile - the distance between the School and her Friend's house.
Answer:
D. a reflection over the y-axis
Hans would take 13.5 seconds to run 50 meters
Priya would take 12 seconds to run 50 meters
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Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50
When you do that you get
13.5 for Han's time by multiplying 2.7x5=13.5
and
12 seconds for Priya's time by multiplying 2.4x5
Answer:
Has exactly one pair of parallel sides.
Step-by-step explanation:
Has exactly one pair of parallel sides.
According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.
<h3>How to approximate the value of a irrational number by binomial theorem</h3>
Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:
(1)
Where:
- a, b - Constants of the binomial.
- n - Grade of the power binomial.
- k - Index of the k-th element of the power binomial.
If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:
√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...
To learn more on binomial expansions: brainly.com/question/12249986
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