I really need help pleaseeee

The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given trigonometric expressions is,

[tex]f(\theta)=\cos\theta[/tex]

The cosine function is the periodic function. The function repeats itself after the 2π. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]

The cosine function is an even function. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]

Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

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Answer:

Step-by-step explanation:

Let mPEQ = x and mPQ = y

The angle between two tangents is half the difference between the major and minor arcs.

The sum of same arcs is full circle

Simplify the first equation

Add up with the second one and solve for x

Find the minor arc measure

Answer:

5, 12

Step-by-step explanation

Answer:

x = 20°

Step-by-step explanation:

Consecutive interior angles theorem

The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).

⇒ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = 20°

Answer:

4x+5x=180

9x/9=180/9

x=20

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

Option D

Step-by-step explanation:

The y-value of the two points is unchanged. So, the line is parralel to x-axis.

The distance will be the diffrence between the x-co ordinates.

[tex]\sf Distance = 1 - (-2\dfrac{1}{2})[/tex]

             [tex]\sf =1+\dfrac{5}{2}\\\\= \dfrac{2}{2}+\dfrac{5}{2}\\\\=\dfrac{7}{2}\\\\=3\dfrac{1}{2}[/tex]

Answer:

1345.01694448 days

Step-by-step explanation:

24 weeks = 24 x 7 = 168 days

24 months = 24 x 30 x 7 =  168 x 7 = 1176 days

24 seconds = 0.000277778 days

24 minutes = 0.0166667 days

24 hours = 1 day

Total = 1345.01694448 days

The amount of money that Jordan will earn at the end of 10 years = $12,587.5

The principal amount invested(P) = $9,500

The annual compounded daily interest rate(R) of the account = 3.25%

The time given (T) = 10 years

Simple interest (SI) = P×T × R/100

SI = 9,500×10×3.25/100

SI= 308750/100

SI= $3087.50

Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50

= $12,587.5

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Answer:

study btc

Step-by-step explanation:

Answer:

After 7 days there are the same number of both calendars left in the store

Step-by-step explanation:

Let x be defined by the number of days,

41 total, 3 Ocean calendars sell each day

48 total, 4 Space calendars sell each day

expression: 41 - 3x = 48 - 4x

- we set them equal to find when x amount days are the same for both calendars

- we subtract due to selling each calendars

solving:

41 - 3x = 48 - 4x                      

add 4x to both sides, trying to get like terms on the same side

41 - 3x + 4x = 48 - 4x + 4x

41 + x = 48

now subtracts 41 from both sides to get x alone

41 - 41 + x = 48 - 41

x = 7

There are 595 handshakes at maximum.

Every finite undirected graph, the number of vertices that touch an odd number of edges is even.

given that:

Number of participants in a party = 35

Now,  By "handshake lemma":

number of shakes that would be

=n(n-1)2

=35(35-1)/2

=35*34/2

=35*17

= 595

Hence, there are 595 handshakes at maximum.

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Answer:

the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.

Step-by-step explanation:

your welcome

Answer:

[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].

Step-by-step explanation:

The equation of a circle of radius [tex]r[/tex] and center [tex](a,\, b)[/tex] is:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

In this question, it is given that the center is [tex](-4,\, -1)[/tex], such that [tex]a = (-4)[/tex] while [tex]b = (-1)[/tex].

The radius of this circle could be found as the distance between the center of this circle, [tex](-4,\, -1)[/tex], and any point on the circle- such as [tex](1,\, -3)[/tex]. Using the distance formula, the radius of this circle would be:

[tex]\begin{aligned}r &= \sqrt{((-4) - 1)^{2} + ((-1) - (-3))^{2}} \\ &= \sqrt{29}\end{aligned}[/tex].

Therefore, the equation of this circle would be:

[tex](x - (-4))^{2} + (y - (-1))^{2} = (\sqrt{29})^{2}[/tex].

Simplify to obtain:

[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].

Answer:

Step-by-step explanation:

The value of √-4 and not -2 because

-2 * -2 = + 4.

Also there is no real number whose square is a negative.

Hi Student!

This question can seem quite complex but it has a simple explanation.  Just imagine, what is the purpose of a square root?  It shows what can by multiplied against itself and produce the number that is in the square root.  That is why when we take the square root of 4 we get 2 and -2 because they both produce the number 4 when we square them.  Whenever we square a number, no matter if it's positive or negative, the answer will always be positive.  This is because in order to get a negative number only one can be negative to overcome the positive otherwise it's just a double negative.

Therefore, there is a solution to the question of what is the square root of -4.  What we do is practically take out the negative because the square root of -1 is equal to i.  So we take the following steps

Separate the square root

Simplify the expression

Looking at what we have done, we see that although the explanation behind it might seem complex the actual solving portion isn't too hard when explained.  Therefore, the solution to the square root of -4 would be 2i.

Answer:

22

Step-by-step explanation:

the pattern here is to divide the previous number by 3

the first number is 15, divided by 3 to give you the second number:5 ,the second number divided by 3 gives us 5/3

using that principle the first six terms are :

15, 3, 5/3 , 5/9, 5/27, 5/81

(just multiply the denominator by 3)

adding we have

[tex]15 + 5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + \frac{5}{81} = \frac{1820}{81} [/tex]

1820/81 in decimal is 22.4691 to the nearest whole number that is 22.

hope this helps!

The correct classification for the angle JML is an acute angle.

An acute angle has a measure, or it's smaller, than a right angle.

An acute angle has a measure less than 90 degrees.

Therefore,

let's find the measure of ∠JML

Hence,

∠JML = ∠JMK + ∠KML

∠KML = 180 - 132 = 48 degrees.

Therefore,

∠JML = 41 + 48 = 89 degrees.

Therefore, the correct classification for the angle JML is an acute angle.

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Answer:

i think b

Step-by-step explanation:

could be wrong sorry

Answer:

1060 students

Step-by-step explanation:

Using sampling concepts, it is found that the correct option regarding the sample is given as follows:

It is biased. The sample of people at the ball park is not representative of star city’s residents.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, we have that only one group is sampled, that is, the people that went to the ballgame, hence the sample is not representative and the correct option is given by:

It is biased. The sample of people at the ball park is not representative of star city’s residents.

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Answer:

d

Step-by-step explanation:

edge

Answer: 8.2831

Step-by-step explanation:

Answer:

Graph attached →

Step-by-step explanation:

Answer:

it 25,000

Step-by-step explanation:

if u multiply 50x500 it will give u 25,000 hope this works

Answer:

52.8 seconds

multiply  6.6 times 8

Step-by-step explanation:

Step-by-step explanation:

135+k=180(sum of angles on a straight line)

k=180-135

k=45

so now u can use k to solve for x

k+9x is also on a straight line

so k+9x=180

we know k so substitute the value in the equation

45+9x=180

9x=180-45

9x=135

[tex] \frac{9x}{9} = \frac{135}{9} [/tex]

cancel 9 will divide 135 15 times

therefore x=15 degrees

x = 15 is in fact a solution of the given inequality.

Here we have the inequality:

x + 9 > 21

We want to see if it is true for x = 15, to check it, we need to repace the value:

15 + 9 > 21

24 > 21

This is true, 24 is larger than 21, then we conclude that x = 15 is a solution of the given inequality.

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Answer:

d

Step-by-step explanation:

it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.

Answer: the answer is choice d .

Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

The complete factored form is -2x²(x + 1)(x - 4)

Answer:568.99 is what I calculated

Step-by-step explanation: