The combined area of two squares is 45 cm². Each side of one square is twice as long as a side of the other square. What is the
1 answer:
Answer:
6 cm
Step-by-step explanation:
Let the smaller square have side of x then the larger square has side 2x
Sum the areas of the 2 squares and equate to 45
x² + (2x)² = 45
x² + 4x² = 45
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = = 3
side of smaller square = 3 cm
side of larger square = 2 × 3 = 6 cm
check : 3² + 6² = 9 + 36 = 45 cm² ← correct
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The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9
Step-by-step explanation:
The formula of the average of a set of data is , where
- S is the sum of the data in the set
- N is the number of the data in the set
∵ The low temperatures in Anchorage, Alaska, for a week were
− 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius
∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}
- Add the data in the set
∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14
∴ S = -35
∵ The set has 7 data
∴ N = 7
- Use the formula of the average above to find it
∴
∴ A = -5
∴ The average of the original set of numbers is -5
To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum
∵ The number of data after removing two numbers is 5
∴ N = 5
∵ A = -5
- By using the rule of average
∴
- Multiply both sides by 5
∴ -25 = S
∴ The new sum is -25
- Lets find which two numbers of have a sum of -10 because
the difference between -35 and -25 is -10
∵ -1 + -9 = -10
∵ -6 + -3 + 1 + -3 + -14 = -25
∴ We could removed -1 and -9
The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9
Learn more:
You can learn more about the average in brainly.com/question/10764770
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The linear inequality will not have a shared solution set with the graphed linear inequality. the correct option is D.
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).
m = (-8 -2)/ (2 +2)
m = -10/ 4
m = -5/2
The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
The linear inequality will not have a shared solution set with the graphed linear inequality.
Thus, the correct option is D.
Learn more about inequality ;
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