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Lubov Fominskaja [6]
2 years ago
9

An angle, Theta. is in standard position. The terminal side of the angle passes through the point (6.-5).

Mathematics
1 answer:
qaws [65]2 years ago
7 0

9514 1404 393

Answer:

  sin(θ) = (-5√61)/61

Step-by-step explanation:

The distance from the origin to the given point is ...

  d = √(6² +(-5)²) = √61

The sine of the angle is the ratio ...

  sin(θ) = y/d = -5/√61

Rationalizing the denominator gives us ...

  sin(θ) = (-5√61)/61

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Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?
saw5 [17]

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4

Evaluate the combination factors.

So, we have:

(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4

Evaluate the exponents and the products

(2x -3)^4 = 16x^4  + 96x^3  +216x^2 -216x + 81

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0
1 year ago
The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
spin [16.1K]

The answer is 24 * 10^4

Since we’re asked for a whole number, we count the number of zeros after the first nonzero numbers. In this case, our first non-zero numbers are 2 and 4 (24). The number of zeros after these numbers  are four (4). The number of zeros indicates the power number of 10.

Had we been asked for a decimal number   and a power of 10, then the answer  would have been 2.4 * 10^5


8 0
2 years ago
Read 2 more answers
A pail holds 2 3/4 gallons of water how much is this in cups
umka21 [38]
1 gallon is 16 cups

we have 11/4 cups which multiplied by 16 gives us 44 cups
7 0
3 years ago
Which number is greater and by how much?
Lana71 [14]

Answer:

A

Step-by-step explanation:

first option, as the decrease percentage is applicated on a greater number than the original

e.g.

A

a= 10

B

10 + 50% = 15

15 - 50% = 7,5

A will be greater then B by 25%

4 0
2 years ago
Solve these inequalities
Setler [38]

Answer:

x>±4

x<±1

Step-by-step explanation:

Given the inequalities

x² > 16

Square root both sides

√x² > ±√16

x > ±4

The solution is x>±4

2) x² < 1

Square root both sides

√x² <±√1

x < ±1

Hence the solution is x<±1

3 0
2 years ago
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