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Effectus [21]
3 years ago
5

Change -40° to radians. A). 2π/9 B). -2π/9 C). 4π/9 D). -4π/9

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
To solve this, we are going to multiply our degrees by a conversion factor. Remember that 1°=\frac{ \pi }{180}, so to convert -40° to radians, we are going to multiply -40° by the conversion factor \frac{ \pi }{180}; that way we can cancel degrees and express our answer in radians:

(-40°)(\frac{ \pi }{180} )= -\frac{2 \pi }{9}

We can conclude that the correct answer is: <span>B). -2π/9</span>
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Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

7 0
3 years ago
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You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing to pay f
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Answer:

28

Step-by-step explanation:

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3 years ago
Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3).
poizon [28]

The first thing I'll do is solve "5y = 2x + 20" for "<span>y=</span>", so that I can find my reference slope:

y = (2/5)x + 4;

So the reference slope from the reference line is <span>m = 2/5;</span>.

Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line. 

Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope <span>m = 2/5</span>. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);

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3 0
3 years ago
Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe
Lerok [7]

Caitlin has 27 $5 bills and 54 $10 bills.

Step-by-step explanation:

Given,

Worth of $5 and $10 bills = $675

Let,

Number of $5 bills = x

Number of $10 bills = y

According to given statement;

5x+10y=675    Eqn 1

She has twice as many $10 bills as $5 bills.

y=2x    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

5x+10(2x)=675\\5x+20x=675\\25x=675

Dividing both sides by 25

\frac{25x}{25}=\frac{675}{25}\\x=27

Putting x=27 in Eqn 2

y=2(27)\\y=54

Caitlin has 27 $5 bills and 54 $10 bills.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

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4 years ago
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It will be 65 ft there u go

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3 years ago
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