Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
ANSWER

EXPLANATION
The sum of an arithmetic sequence whose first term and last terms are known is calculated using

From the given information, the first term of the series is

and the last term of the series is

The sum of the first 26 terms is



Given:
An athlete who makes
laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in
laps =
m
=
m
=
m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:



Therefore, the speed of the athlete is about 8.44 m/s.
Answer:
The equation would be x^2 + y^2 = 9
Step-by-step explanation:
In order to find this, start with the base form of the circle.
(x - h)^2 + (y - k)^2 = r^2
Now we input the center as (h, k).
(x - 0)^2 + (y - 0)^2 = r^2
x^2 + y^2 = r^2
Now we can input the radius of 3 in for r
x^2 + y^2 = 3^2
x^2 + y^2 = 9
That depends on the type of cookie that was made.... so no valid answer