All categories

2 years ago

Please help 33-40, thanks!

Mathematics

1 answer:

kogti [31]2 years ago

6 0

33. -8 belongs to:

Set of real numbers; all rational and irrational numbers
Set of integers; positive and negative whole numbers

34. 14 belongs to:

Set of natural numbers; all positive whole numbers
Set of real numbers; all rational and irrational numbers

35. 9.23 belongs to:

Set of real numbers; all rational and irrational numbers

36. $1\frac{5}{9}$ belongs to:

Set of real numbers; all rational and irrational numbers

37. Zero (0) belongs to:

Set of Integers; all positive and negative whole numbers
Set of real numbers; all rational and irrational numbers

38. -1 belongs to:

Set of integers; all positive and negative whole numbers
Set of real numbers; all rational and irrational numbers

39. 1/2 belongs to:

Set of real numbers; all rational and irrational numbers

40. 0.3 where 3 is recurring belongs to:

Set of real numbers; all rational and irrational numbers

You might be interested in

The sum of x and it’s opposite is always zero?

jeka94

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

$a-a =0$

Or in the other case:

$-a -(-a) =-a +a=0$

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

$a-a =0$

Or in the other case:

$-a -(-a) =-a +a=0$

So then we can conclude that the expression is a general rule and is true

5 0

2 years ago

Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r

igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

We know that sin(theta) = opposite/hypothenuse

Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

sinAcosB – sinBcosA =

u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

8 0

2 years ago

32/160 as a simplified fraction someone help coz I'm clueless with fractions

omeli [17]

32÷2/160÷2

=16÷2/80÷2

8÷2/40÷2

4÷2/20÷2

2÷2/10÷2

1/5

4 0

2 years ago

Read 2 more answers

12. Joe counted 5 birch trees in the park. Sara counted 235 pine trees. How many times as many pine trees as birch trees did the

Fittoniya [83]

Answer:

Step-by-step explanation: make sure to divide correctly

7 0

2 years ago

Read 2 more answers

Brandon set a goal of running 12 miles per week on Monday he ran 4 3/4 miles on Wednesday he ran 3 1/3 miles on Friday he ran 1

Marysya12 [62]

Answer:

9.7303888 miles

Step-by-step explanation:

Given the following :

Set target = 12 miles per week.

Miles ran on Monday = 4 3/4 miles

Miles ran on Wednesday = 3 1/3 miles

Miles ran on Friday = 1 11/17 miles

Number of miles covered for the week:

(miles covered on Monday + miles covered on Wednesday + miles covered on Friday)

= (4 3/4 + 3 1/3 + 1 11/17) miles

= (19/4 + 10/3 + 28/17) miles

= (4.75 + 3.33333 + 1.6470588) miles

= 9.7303888 miles

5 0

2 years ago