what is the exact value of tan(19pi/12)

Step-by-step explanation:

simplify the three equations to get the common (Y) and we get the following:

1. [tex]Y = \frac{-5}{2}x + \frac{1}{2}\\[/tex]

2. [tex]Y = \frac{2}{5}x - 8[/tex]

3. [tex]Y = \frac{2}{5}x + \frac{4}{5}[/tex]

Line 1 and 2 are perpendicular because for the gradient(m) the fraction in line 1 for x is the negative reciprocal to line 2.

Line 1 and 3 are also perpendicular because for the gradient(m) the negative reciprocal can also be seen

*note for perpendicular lines the +c or y-intercept is neglected as it does not affect the perpendicularity

Line 2 and Line 3 are parallel because they have the same gradient of  [tex]\frac{2}{5}x[/tex]

So they will have the same slope, regardless of the y-intercept.

Answer:

5/11

Step-by-step explanation:

probability = # of favorable outcomes / # of total outcomes

favorable outcome = selecting a pair of formal shoes.

There are 5 pairs of formal shoes so # of favorable outcomes = 5

The total number of outcomes = sum of different pairs of shoes. There are  5 pairs of formal shoes, 2 pairs of traditional shoes, and 4 pairs of casual shoes, so total there are 5 + 2 + 4 = 11 pairs of shoes

so we have probability =  # of favorable outcomes / # of total outcomes

and # of favorable outcomes = 5 and total # of outcomes = 11 so probability of selecting a pair of formal shoes is 5/11

Answer:

[tex]0.40 * 6 = 2.4\[/tex]

So if one pound costs 2.4$, you will be able to buy 2 pounds with 6$

Step-by-step explanation:

For a number,

[tex]r( \cos(x) + i sin(x))[/tex]

r is the modulus and

x is the argument

So here.

r is 2.

x is 2 pi/3

So the modulus is 2

the argument is 2 pi/3

Answer:

Modulus: 2

Argument: 2 pi/3

Step-by-step explanation:

A P E X

Answer:

b

Step-by-step explanation:

Answer:

1

Explanation:

Answer:

The square root of (144/169)+(25/169) is 1

Step-by-step explanation:

[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]

[tex]\sqrt{1} =1[/tex]

hope this helps :)

The distance that riders travel round the Ferris wheel in 15 rotations is 11,786 feet.

The first step is to determine the distance travelled in one rotation. To do this, the circumference of the wheel has to be determined.

Circumference of a circle = π x 250

22/7 x 250 = 785.71 feet

Now, multiply the circumference by 15

785.71 feet x 15 = 11,786 feet

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

#SPJ1

Answer: hii

Exchanged a good or service directly for a good or service

Step-by-step explanation:

Bartering was an early way that people... Exchanged a good or service directly for a good or service.

Hopefully this helps you

- Matthew

Bartering was an early way that people exchanged goods.

Let's imagine a situation between "A" and "B". Suppose "A" wants rice and have sugar. On the other hand "B" has rice and he wants sugar. So,there will be exchange between "A" and "B" where "A" will give sugar to "B" and "B" will give rice to "A".

Step-by-step explanation:

b/4 = 1-2

b/4 = -1

4 × b/4 = -1 × 4

b = -4

no it's not correct

50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...

50% can drive and 50% cannot drive

hope it helps...!!!

Answer:

x=1

Step-by-step explanation:

Hi there!

We are given that a line is perpendicular to y = -6 and passes through the point (1, 3)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

First, we need to find the slope (m) of the line

Remember that we were given that the line is perpendicular to y = -6

Perpendicular lines have slopes that multiply to get -1

The slope of y = -6 is 0; therefore, to find the slope of this line, we can do the following equation

0m=1

Divide both sides by 0

m = 1/0

This answer is undefined - therefore, the line has an undefined slope

If this is the case, then it means the line is a vertical line

A vertical line is written as x=k, where k is the value of x at the x intercept. It can't be written in slope-intercept form.

This value is also the value of x at every point that lies on such line - in this case, as given by the point (1, 3) , this value is 1

So substitute 1 as k.

x = 1

This is the line of the equation.

Hope this helps!

okay l will help you on this

but it's not so realistic. it's a negative answer imagine

Given -

To find -

Explanation -

As we know, circumference of the circle = 2πr

where r signifies the radius of the circle. And radius if half of the diameter, i.e, r = d/2

Solution -

Circumference of the circle = 2πr

r = 32/2 = 6

Substituting the value of r,

Circumference of the circle = 2 × 3.14 × 6

Circumference of the circle = 12 × 3.14

Circumference of the circle = 37.6 ft

Therefore, the the circumference of the circle is 37.6 ft.

Answer:

2008909, 2000899, 299088, 298099, 12890, 12089

Step-by-step explanation:

Start with the largest number then find the number with the smallest value closest to that number

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]a)12098,12980,12890,12089[/tex]

Arranging numbers in descending order:

12980 > 12890 > 12098 > 12089

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]b)2008909, 299088, 2000899, 298099[/tex]

Arranging numbers in descending order:

2008909> 2000899> 299088 > 298099

•••♪

The linear function is represented by the straight line, and the word that describes the slope of the line is positive

A linear function is an equation that has a constant rate or slope

The points on the lines are given as:

(x,y) = (-5,-1), (0,0) and (5,1)

The slope is then calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

m = (0 + 1)/(0 + 5)

Evaluate

m = 0.2

The above slope is positive.

Hence, the word that describes the slope of the line is positive

#SPJ1

Read more about slope at:

https://brainly.com/question/1884491

Answer:

the answer is a

Step-by-step explanation:

How much would the investment be worth?

As the function for interest is already given to us, also,

The principal amount, P = $7,000

The rate of Interest, r = 3%

Time period, t = 5 years

Compounded semiannually, n = 2

Substitute the values,

Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.

Answer:

Hello! Let's find the value of Janel's investment after 8 years. In the formula we're using, P will represent the principal amount, r will represent the rate of interest, and t will represent time. Since the interest is compounded semi-annually (twice a year), n = 2. Finally, A represents the value of the investment after t (8 years).

Substitute these values into the formula:

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

[tex]A = 7000(1+\frac{0.03}{2} )^{2*8}[/tex]

Simplify the equation:

[tex]A = 8882.89883357[/tex]

Round this number to the nearest hundredth:

[tex]A = 8882.90[/tex]

The correct answer is B. 8,882.90.

I hope this helps you! Have a great day. :)

Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}[/tex]

Answer:

y = 1

Step-by-step explanation:

[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]

Answer:

216???

Step-by-step explanation:

54 times 4 bc every fourth person that comes in

I have no Idea tho

I assume the integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx[/tex]

Simplify the integrand:

[tex]\sin(2x) = 2\sin(x)\cos(x) \implies \dfrac{\sin(2x)}{\sin(x)} = 2\cos(x)[/tex]

Then the indefinite integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx = 2 \int \cos(x) \, dx = \boxed{2 \sin(x) + C}[/tex]

x = -1.5

y = 8.5

hope it helps....!!!

[tex]4x-4y = 8~~~....(i)\\\\y+4x = 2.5~~~...(ii)\\\\(i)-(ii)\\\\~~~~4x-4y-y-4x = 8-2.5\\\\\implies -5y = 5.5\\\\\implies y = -\dfrac{5.5}5\\\\\implies y= -1.1\\\\\text{Substitute y= -1.1 in eq (i):}\\ \\~~~~4x-4(-1.1) = 8\\\\\implies 4x +4.4. =8\\ \\\implies 4x = 8-4.4\\\\\implies 4x = 3.6\\\\\implies x = \dfrac{3.6}4\\\\\implies x =0.9\\ \\\text{Hence,}~~ (x,y) = (0.9, ~-1.1)[/tex]

to solve this equation

[tex]x { }^{2} + 3x - 40 = 0[/tex]

Answer:

A. 4 1/15

Step-by-step explanation:

Answer:

2.36705065488

Answer:

The answer is 5.

Step-by-step explanation:

The answer is 5 because 5x8 and 5x5.  find the greatest common factor by matching the biggest common factor of 25 and 40.This is why the answer is 5.

Step 1: 25 = 5[tex]^2[/tex]

Step 2: 40 = [tex]2^{3}[/tex] × [tex]5^{1}[/tex]

Step 3: List of positive integer factors of 25 that divides 25 without a remainder. That is 1 and 5

Step 4: List of positive integer factors of 40 that divides 25 without a remainder. 1, 2, 4, 5, 8, 10, 20

Step 5: We found the factors and prime factorization of 25 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 25 and 40 is 5.

Answer:

I think the answer is A

Step-by-step explanation:

If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle [tex]r = AB[/tex] you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.

The best way to solve this is by experimenting with the compass and following the steps to see the outcome.

Answer:

exp prob is less than theoret prob

Step-by-step explanation:

experimental   8 out of 20    8/20

theoretical      10 out of 20    10/20