Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
(2, 50, 50, 51, 51, 52, 53, 54, 54, 55, 55, 55, 56, 56, 57} What is the best measure of the central tendency of the data? mean m
Alexxx [7]
The median is----54
The mean is----Approximately 50
The mode(s) is/are----50, 51, 54, 55, and 56
The range is---- Approximately 29 if you round
The area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in² .
We have been provided that the Length of blade is 15 inches and the Angle of rotation = 98°
We are required to calculate the area of the portion of the windshield cleaned by the 10-in wiper blade.
We have to solve this by using area of a sector.
Area of a sector = ½r²θ
where θ is in radians.
So, angle of rotation (98°) must first be converted to radians
Converting 98º to radians, we get
98×π/180 = 49π/90
The area of the region swept out by the wiper blade
= (area of the sector where r = 15 and θ = 49π/90) - (area of the sector where r = (15-10) and θ = 49π/90).
So, Area = ½×15²×49π/0 - ½×5²×49π/90
= ½×49π/90(15²-10²)
= 49π/180× (225 - 100)
= 49π/180 × 125
= 1225π/36
Area = 106.8472in²
=106.85 in²
Hence, the area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in²
To know more about area of a sector- brainly.com/question/7512468
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its easy
Step-by-step explanation:
becayse
Yes it is.
2/3
2*3 / 3*3
6/9
7/9 > 6/9 = 2/3
7/9 > 2/3
Answer: Yes, 7/9 > 2/3