Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is , then the proportion of their area is .
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:
Take positive square root as length cannot be negative:
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
the answer is 9
Step-by-step explanation:
Just did the lesson
Answer:
$2.55
Step-by-step explanation:
If you Multiply $85 by 0.03 you get your answer because you have to turn the 3% into a decimal which you have to move the decimal two places to the left.
Answer:
Step-by-step explanation:
2. the difference of nine times a number and the quotient of 6 and the same number
3. the sum of 100 and four times a number
4. the product of 3 and the sum of 11 and a number
5. four times the square of a number increased by five times the same number
6. 23 more than the product of 7 and a number
Answer:
1. 15n - 7
2. 9n - (6/n)
3. 4n + 100
4. 3(11 + n)
5. 4n^2 + 5n
6. 7n + 23
Step-by-step explanation:
1. "7 less than fifteen times a number" can be represented as 15n - 7, where n represents the unknown number. This expression means that you take the number, multiply it by 15, and then subtract 7 from the result.
2. "The difference of nine times a number and the quotient of 6 and the same number" can be represented as 9n - (6 / n), where n represents the unknown number. This expression means that you take the number, multiply it by 9, and then subtract the quotient of 6 divided by the same number.
3. "The sum of 100 and four times a number" can be represented as 4n + 100, where n represents the unknown number. This expression means that you take the number, multiply it by 4, and then add 100 to the result.
4. "The product of 3 and the sum of 11 and a number" can be represented as 3(11 + n), where n represents the unknown number. This expression means that you take the number, add 11 to it, and then multiply the sum by 3.
5. "Four times the square of a number increased by five times the same number" can be represented as 4n^2 + 5n, where n represents the unknown number. This expression means that you square the number, multiply the result by 4, and then add the product of the number and 5.
6. "23 more than the product of 7 and a number" can be represented as 7n + 23, where n represents the unknown number. This expression means that you take the number, multiply it by 7, and then add 23 to the result.
B. They share a common vertex
C. They share a common side
D. They are congruent
Answer:
11.4 lbs of potatoes total
Step-by-step explanation:
$5.58 red potatoes
$4.68 yellow potatoes
$0.90 per pound
5.58 / 0.90 = 6.2 lbs
4.68 / 0.90 = 5.2 lbs
5.2 + 6.2 = 11.4
To find the total pounds of potatoes, divide the cost of each type of potato by the cost per pound. Then, add the pounds of red potatoes and yellow potatoes together. The total pounds of potatoes is approximately 11.4 pounds.
To find the total pounds of potatoes, we need to add the pounds of red potatoes and yellow potatoes together. Since each type of potato costs $0.90 per pound, we can use the total cost of each type to find the pounds.
The cost of the red potatoes is $5.58, so the pounds of red potatoes can be found by dividing $5.58 by $0.90 per pound. The result is approximately 6.2 pounds.
The cost of the yellow potatoes is $4.68, so the pounds of yellow potatoes can be found by dividing $4.68 by $0.90 per pound. The result is approximately 5.2 pounds.
Finally, to find the total pounds of potatoes, we add the pounds of red potatoes and yellow potatoes together. The total is approximately 11.4 pounds.
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