Answer:
1.) A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
2.) 8
3.) 201 square inches
Step-by-step explanation:
Let the difference between consecutive terms be D. If the middle term is 30, then the term before it is 30-D, and the term after it is 30+D. So the sum of these three terms would be (30-D) + 30 + (30+D) = 3*30.
Extending this sum to include all 11 terms centered around 30, we see that any addition of D is canceled by a balanced subtraction, leaving you with 11 copies of 30. So the value of the sum is 11*30 = 330.
Using the Pythagorean theorm,
a^2 + b^2 = C^2, where a nd b are the side lengths and c is the hypotenuse ( diagonal line)
If it was a square both sides would be the same length so we would have:
13^2 +13^2 = c^2
169 + 169 = c^2
338 = c^2
c = SQRT(338) = 18.38
18.38 is larger than the 15.26 given in the problem , so the room is not a square.
We conclude that the equation evaluated in t = 6 and u = 14 is equal to 412.
<h3>
How to evaluate an expression?</h3>
Here we have an expression with two variables, t and u.
6t - 32u
And we want to evaluate it in t = 6 and u = 14.
This means that we need to replace the two variables in the equation by the given numbers, so we replace the "t" with a 6, and the "u" with a 14, doing that we get:
6*6 - 32*14
Now we can solve that:
6*6 - 32*14
36 - 448 = 412
We conclude that the equation evaluated in t = 6 and u = 14 is equal to 412.
If you want to learn more about evaluating expressions:
brainly.com/question/4344214
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