题目列表

题目内容
If $$x \geq 0$$, $$y \geq 0$$, and $$x^{2}$$+$$y^{2}$$=$$1$$, which of the following statements must be true?

Indicate all such statements.
The ratio of the lengths of sides of a certain triangle is 3 : 5 : 7.

Quantity A

Degree of the greatest angle of this triangle

Quantity B

85°


The lengths of the sides of triangle $$RST$$ are $$3$$, $$4$$, and $$y$$. Which of the following inequalities specifies those values of $$y$$ for which each angle measure of triangle $$RST$$ is less than $$90°$$?
d≠0

Quantity A

The area of a square region with sides of length d

Quantity B

The area of a circular region with diameter d


Quantity A

The range of 10 consecutive integers

Quantity B

10


x and y are integers. 4 ≤ x < 7< y ≤ 12, what`s the range of $$(x-y)^{2}$$?
In the sophomore class of a certain university, 85 percent of the students were taking English composition, 70 percent were taking biology, and 60 percent were taking both English composition and biology. What percent of the students in the class were taking neither English composition nor biology?
The number of elements in set A is 60 percent greater than the number of elements in set B, and the number of elements in the set A ∩ B is 15. If set B contains at least one element that is not in set A, what is the least possible number of elements in the set A U B?
30% of members in club R are also in club H and 20% of club H are also in club R.

Quantity A

The number of members in club H

Quantity B

The number of members in club R


$$a_1, a_2, a_3,........a_n,.........$$

In the sequence shown, $$a_1$$=6

and for each integer n greater than 1, $$a_n$$ is defined by

If $$n$$ is even, then $$a_n=2+a_{n-1}$$ (n≥2)

If $$n$$ is odd, then $$a_n=-8+a_{n-1}$$ (n≥2)

What is the value of $$a_7$$?
If $$a_1$$=2, $$a_2$$=3, $$a_n$$=$$a_{n-1}$$*$$a_{n-2}$$(n≥3),then $$a_8$$ is?
What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.
How many positive divisors of 210 can be expressed as a product of two prime factors?
How many positive factors of 210 can be expressed as the product of two prime numbers?
If the probability that event R will occur is 0.75, and the probability that event M will occur is 0.58, which of the following is equal to the maximum probability that both events will occur?
If x and y are even integers and xy=-24, what is the greatest possible value of x+y?
$$x^{2}$$=4 and $$y^{2}$$=1

Quantity A

$$(x-y)^{2}$$

Quantity B

3


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