Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute

step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values

Find the length sides CG
Applying the Pythagorean Theorem

substitute the given values



simplify

therefore

step 3
Find the area of rectangle

we have


substitute

The name of the sets of the numbers to which each of the given number belongs is:
- 7 = Natural number. Integer. Rational number.
- √23 = Irrational number.
- л = Irrational number.
- O = Rational number. Integer.
- -0.5 = Rational number.
- -2.5 = Rational number.
- √0.09 = Rational number.
- -√0.9 = Irrational number.
<h3>What are sets of numbers?</h3>
These are the various types of number groups that exist for categorizing numbers.
Natural numbers are all positive numbers from 1 to infinity while integers are positive and negative whole numbers. A decimal cannot be an integer as a result.
Rational numbers are discrete which means that they are terminating and eventually stop going while irrational numbers will keep going to infinity and are therefore non-terminating.
Find out more on sets of numbers at brainly.com/question/13081505
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Answer:
95
Step-by-step explanation:
Mode is what is the most frequent number that occurred; 95 occurred the most from the data.
Answer:
$551
Step-by-step explanation:
The maximum profit is found where the derivative of the profit function is 0.
y' = -2x +62 = 0
x = 62/2 = 31
Then the maximum profit is ...
y = (-x +62)x -410
y = (-31 +62)(31) -410 = 961 -410 = 551
Assuming the profit is in dollars, the maximum profit the company can make is 551 dollars.
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.