# All Questions +0184527 Questions

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37
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### In triangle ABC, sin A = 4/5. Find cos B.

Guest Nov 30, 2020
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42
1

### What is the numerical value of x = \frac{1}{2-\frac{1}{2-\frac{1}{2-\ldots}}} ?

dududsu2  Nov 30, 2020
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28
1

### Find cos A

Guest Nov 30, 2020
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57
1

### There exist several positive integers $x$ such that $\frac{1}{x^2+x}$ is a terminating decimal. What is the second smallest such integer?

dududsu2  Nov 30, 2020
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50
3

### Let $S = 1 - 2 + 3 - 4 + \cdots + 2009 - 2010$. What is the residue of $S$, modulo 2010?

dududsu2  Nov 30, 2020
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55
2

### What is the remainder when $5^{30}$ is divided by 7?

dududsu2  Nov 30, 2020
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38
1

### If$$1+12+123+1234+12345+123456+1234567+12345678$$is congruent to $n$ modulo 9, where $0\le n<9$, what is the value of $n$?

dududsu2  Nov 30, 2020
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65
1

### What is the ones digit of $1^{2009} + 2^{2009} + 3^{2009} + \cdots + 2009^{2009}?$

dududsu2  Nov 30, 2020
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69
1

### Suppose that $p$ is prime and $1007_p+306_p+113_p+125_p+6_p=142_p+271_p+360_p$. How many possible values of $p$ are there?

dududsu2  Nov 30, 2020
0
57
3

### A base-10 integer $n=4\triangle_9=\triangle0_7$, where $\triangle$ represents a single digit. What is the value of $n$?

dududsu2  Nov 30, 2020
0
42
1

### Two sectors of a circle of radius 12 overlap as shown

Guest Nov 30, 2020
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39
1

### How many of the same digits are found in the base 7 and base 8 representations of $629_{10}$?

dududsu2  Nov 30, 2020
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55
4

### If $x$, $y$, and $z$ are real numbers for which? Then what is $xyz$

Guest Nov 30, 2020
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68
2

### You have linear functions $p(x)$ and $q(x)$. You know $p(2)=3$, and $p(q(x))=4x+7$ for all $x$. Find $q(-1)$.

Guest Nov 30, 2020
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63
3

### Find the sum of all values of $x$ such that $\log_{3^2}(x-1)^2 = -1.$

dududsu2  Nov 30, 2020
0
40
0

### 24 + x chia hết cho 2 và 3

Guest Nov 30, 2020