Is 19/4 feet long piano will fit on 5 feet long space?
Answers
the closest we can get is 16/4=4 and the remainder 3/4
so the piano is 4 and 3/4 foot long which is less than 5 so it will fit
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Which of the following points lie in the solution set to the following system of inequalities?y < −3x + 3y < x + 2(1, −5)(1, 5)(5, 1)(−1, 5)
six bottles for $9.65. Kendall buys five
bottles of iced tea. Is Kendall being
financially responsible or financially irresponsible? Explain.
Answers
Answer: financially irresponsible
Step-by-step explanation:
Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents
Answers
Answer:
Step-by-step explanation:
so the area of a circle is A=
111.6=3.14* divide by 3.14 on both sides. that makes 36=
take the square root of both sides. r=6.
now we find the diameter. 2\pi r=2*3.14*6=3.14*12 which is approximately 38.68
Answers
Answers
b. {2,2,4}
c. (1,2, sqrt of 3 wouldn't it be B because it has all even numbers?
Answers
The only set of numbers that could be the sides of a right triangle is **(b) {2, 2, 4}**.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, in order for a set of numbers to be the sides of a right triangle, the following equation must hold:
hypotenuse^2 = leg1^2 + leg2^2
Let's check each of the given sets:
(a) {2, 3, √13}
hypotenuse^2 = √13^2 = 13
leg1^2 = 2^2 = 4
leg2^2 = 3^2 = 9
13 ≠ 4 + 9
Therefore, {2, 3, √13} cannot be the sides of a right triangle.
(b) {2, 2, 4}
hypotenuse^2 = 4^2 = 16
leg1^2 = 2^2 = 4
leg2^2 = 2^2 = 4
16 = 4 + 4
Therefore, {2, 2, 4} can be the sides of a right triangle.
(c) {1, 2, √3}
hypotenuse^2 = √3^2 = 3
leg1^2 = 1^2 = 1
leg2^2 = 2^2 = 4
3 ≠ 1 + 4
Therefore, {1, 2, √3} cannot be the sides of a right triangle.
Therefore, the only set of numbers that could be the sides of a right triangle is **(b) {2, 2, 4}**.
Learn more about sides of a right triangle here:
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Final answer:
The set of numbers that could be the sides of a right triangle is {2,3, sqrt of 13}.
Explanation:
To determine whether a set of numbers could be the sides of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's check each set of numbers:
a. {2,3,√13}
b. {2,2,4}
c. (1,2,√3)
For set a, the sum of the squares of 2 and 3 is 13, which is equal to the square of √13. Therefore, set a could be the sides of a right triangle.
For set b, the sum of the squares of 2 and 2 is 8, which is not equal to the square of 4. Therefore, set b could not be the sides of a right triangle.
For set c, the sum of the squares of 1 and 2 is 5, which is not equal to the square of √3. Therefore, set c could not be the sides of a right triangle.
Therefore, the set of numbers that could be the sides of a right triangle is a. {2,3,√13}.
Learn more about right triangle here:
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Answers
1yd=3ft ==>(1yd)²=(3ft)²=9ft² cost $2.5*9=$22.5