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3 years ago

How is the rate 4.5%

Mathematics

1 answer:

vichka [17]3 years ago

5 0

The number in brackets represents the percentage change
1.045
the 1 shows that it is an increase and the .045 shows the percent
for example 1.55 would be 55% increase and 1.555 would be 55.5% increase

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In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?

nordsb [41]

Answer:

1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

<h3>Pythagorean relation</h3>

The relation between sine and cosine is the identity ...

sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

sin(x) = √(1 -cos(x)²)

<h3>Application</h3>

For the present case, using the given cosine value, we find ...

sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

sin(x) = 1/2

<em>Additional comment</em>

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

6 0

1 year ago

Does the graph below represent a function? A. Yes

AURORKA [14]

Yeah C should be the correct answer

8 0

3 years ago

How do you find the solution of this proportion?<br> 4/9 = m2-1/54 <br> m2 is m to the power of 2

andrew11 [14]

Take the root of both sides and solve.

7 0

3 years ago

What is the value represented by the letter D on the box plot of data?

anyanavicka [17]

Hello!

The letter D is in the place for the upper quartile

To find this you have to find the median of the data

List the numbers from least to greatest

12, 18, 34, 55, 59, 68, 80, 80

The medians are 55 and 59

To get the median we take the average of these numbers

55 + 59 = 114

114 / 2 = 57

The median is 57

To find the upper quartile you find the median of the numbers higher than 57

List the numbers that are higher than 57 in the data

59, 68, 80, 80

Take the average of 68 and 80

68 + 80 = 148

148/2 = 74

The answer is 74

Hope this helps!

4 0

3 years ago

For each function below, determine whether or not the function is injective and whether or not the function is surjective. (You

Harlamova29_29 [7]

Answer: First, injective means that for every y, there is only one x such f(x) = y, and surjective means that if f is a function that goes from the set {x} to the set {y}, for every element y in the codomain there is at least one element x in the domain such f(x) = y

(a) f:R----> + R given by f(x) = x2 (i guess you written $x^{2}$ )

The function is not injective, because f(-2) = f(2), and is surjective, because the codomain is +R, and $x^{2}$ is always a positive real number.

(b) f:N----> + N given by f(n) = n2 (i guess you written $n^{2}$ )

As the naturals have no negative numbers, in this case the function is injective, but isn't surjective, because there is no number that when squared is equal to 5, for example.

here the domain is of the form (n,k) and the function is n +k, so the numbers (z,w) and (w,z) return the same value when evaluated in f, then f is not injective. And is easy to see that f is surjective, because in the sum you can reach al the integers on the codomain.

3 0

3 years ago