Cot 0=0.7615, for 0 less than or equal to 0 less than or equal to 2 x pi

Answers

Answer 1
Answer:

Answer:

θ = 52.71° or 232.71°

In radians

θ = 0.2928π rad or 1.2928π rad

That is,

θ = 0.92 rad or 4.06 rad

Step-by-step explanation:

Cot θ = 0.7615 for 0 ≤ θ ≤ 2π

Note that Cot θ = (1/tan θ)

(1/tan θ) = 0 7615

tan θ = (1/0.7615) = 1.3132

θ = tan⁻¹ (1.3132) = 52.71°

But, note that tan is also positive in the 3rd quadrant, hence,

θ is also equal to 180° + 52.71° = 232.71°

θ = 52.71° or 232.71°

We now convert to radians

360° = 2π

52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian

232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians

Hope this Helps!!!


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Which of the following is always the result of dividing and integer by an integer when the divisor is nonzero?A) Integer
B) Whole number
C) Rational number
D) 0

Answers

if the divisor is non zero.

Example is:  7 / 9,  2/5.

What would always result is a rational number.

C is the answer.

Other options might not always result. Option D, 0 would never result.

Answer: C) Rational number

Step-by-step explanation:

*Simple math question* The eighth grade class at grade school has 15 girls and 14 boys. How many different boy-girl dates can be arranged?

Answers

The eighth grade class at grade school has 15 girls and 14 boys. The different boy-girl dates that can be arranged is 210 boy-girl.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The eighth grade class at grade school has 15 girls and 14 boys.

The different boy-girl dates can be arranged

15 x 14 = 210

210 boy-girl

Hence, The different boy-girl dates that can be arranged is 210 boy-girl.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ2

15*14=210
210 boy-girl dates

Are 2/7 and 6/21 equivalent ratios

Answers

To find the ratios are equivalent or not, we need to take out the difference between the two ratios.

Equivalent Ratio

Two ratios are equivalent ratios if there difference is zero, or we can say that the two ratios are equivalent ratios if they are in the same proportion to each other.

For example,

(1)/(2)=(2)/(4)=(3)/(6)= (50)/(100)

(2)/(7) and (6)/(21) ratios are equivalent ratios.

Given to us

  • (2)/(7)
  • (6)/(21)

Solution

If the ratios are equivalent to each other then their difference will be zero.

(2)/(7)-(6)/(21)\n\n=(2* 3)/(7 * 3)-(6)/(21)\n\n=(6)/(21)-(6)/(21)\n\n= 0

Hence, (2)/(7) and (6)/(21) ratios are equivalent ratios.

Learn more about Equivalent ratios:

brainly.com/question/13513438

6 / 2 = 3
21 / 7 = 3

Yes, 2/7 and 6/21 are equivalent ratios.  The second number is simply the first number tripled.  

What is 4.32 over 100 like as a fraction. what is it simplified?

Answers

(4.32)/(100) = (432)/(10000) = (216)/(5000) =(108)/(2500) = (54)/(1250)=\boxed{\bf{(27)/(625)}}
4.32/100
= 432/10,000
= 27/625.

4.32 over 100 is like 432/10,000 as a fraction and is simplified as 27/625.

Hope this helps~

4 percent of a number is what fraction of that number??

I REALLY NEED HELP ASAP

Answers

Answer: A few options: 4/100, 2/50, 1/25

Step-by-step explanation:

Answer:

4/100 or 1/25

Step-by-step explanation:

If h(r) = 23r − 6, what is the value of h(-9)? Question 5 options: a) 0 b) 12 c) −623 d) -12

Answers

Answer:

-213

not in d option though check d question

Step-by-step explanation:

h(r) = 23r − 6

h(-9) = 23(-9) - 6

= -207 - 6

= -213

Answer:

-213

Step-by-step explanation:

If h(r) = 23r − 6, then, if we choose r = 2 as an example (only), then:

If h(2) = 23(2) − 6 = 46 - 6 = 40

Using the same approach, we substitute -9 for r, obtaining:

If h(-9) = 23(-9) − 6 = -207 - 6 = -213

This does not match any of the given possible answers.  Please ensure that you have copied down the problem and possible answers accurately.