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Ede4ka [16]
3 years ago
12

If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thet

acotθ in simplest radical form.
Mathematics
1 answer:
STatiana [176]3 years ago
3 0
Buying the president of the state national national
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Equation for "five elevenths times a number is 55"
nika2105 [10]
Let the unknown number be x.

5/11 * x = 55

Since x is being multiplied by 5/11, and you want x alone, you need to multiply both sides of the equation by the reciprocal of 5/11 which 11/5.

11/5 * 5/11 * x = 55/1 * 11/5

x = 605/5

x = 121

Answer: The number is 121.
4 0
3 years ago
You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

4 0
3 years ago
Find the surface area of the figure.
Darina [25.2K]
B, 224in2

It may get tedious but just find the area of each face and write them down
4 0
3 years ago
If m< DBG=58 and mDG =74 , find mGE
mestny [16]

Answer:

Option D: mGE = 190°

Step-by-step explanation:

From the property of angles of secant and tangent lines, we have:

DBG = (mGE - mDG)/2

(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)

So, we have that:

58 = (mGE - 74)/2

2*58 = mGE - 74

mGE = 116 + 74 = 190°

So we have that mGE is equal to 190°, correct option: D.

5 0
2 years ago
What is the solution to the system of equations?<br> O (-8,-4)<br> O(-4,-8)<br> O (44)<br> 0 (4-4)
Novay_Z [31]

Answer:

Step-by-step explanation:

I'm pretty sure the answer is C sorry if I'm wrong

3 0
2 years ago
Read 2 more answers
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