The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.
Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here
Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
The information about the rational numbers and integers shows that the correct option is C.
<h3>How to explain the information?</h3>
It should be noted that rational numbers are numbers where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
Therefore, the correct option is C.
Learn more about integers on:
brainly.com/question/17695139
#SPJ1
Multiply the exponent of x by 4giving <span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 5 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 5*x^4 evaluates to </span><span> Multiply the exponent of x by 4giving </span><span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 6 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 6*x^4 evaluates to </span><span> Multiply the exponent of x by 2giving </span><span> The answer is </span><span> x^2 evaluates to </span><span> Multiply and 3 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 3*x^2 evaluates to </span><span> 6*x^4-3*x^2 evaluates to </span><span> The answer is </span><span> 6*x^4-3*x^2+7 evaluates to </span><span> Multiply by </span><span> we multiply by each term in term by term. </span> This is the distributive property of multiplication. <span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and 7 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> × 7 = </span><span> 5*x^4*(6*x^4-3*x^2+7) evaluates to </span><span>The final answer is </span>
The formula of an area of a circle:
We have
r = 1.8 m
π ≈ 3.14
Substitute:
