A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit

Answer:

[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

We get [tex]-\frac{1}{\sqrt{3} }[/tex]

Now checking all the options.

Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]

Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]

Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]

Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]

Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]

Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]

Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]

Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]

So, looking at the options, only Option A has the same result as given question

So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Answer:

h(x) = (1/4)x - 2 which is choice A

Step-by-step explanation:

Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.

f(x) = 4x+8

y = 4x+8

x = 4y+8

x-8 = 4y

4y = x-8

y = (x-8)/4

y = x/4 - 8/4

y = (1/4)x - 2

h(x) = (1/4)x - 2

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

Answer: part a: area = bh part b: split it on its diagonals

Step-by-step explanation:

Answer:5n+10d=365.7 pennies

Step-by-step explanation:

Answer:

b>k c>L  ac>JL  bc>KL

Step-by-step explanation:

poggers

Answer:

B = K

C = L

AC = JL

BC = KL

hope this helps!

Answer:

They need to use issues management

Step-by-step explanation:

Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.

Step-by-step explanation:

The lines represent the lines of symmetry where the image can be reflected upon. Hence it is reflectional.

The dot in the middle of the image tells us that the image can be rotated about the dot to produce the exact same image. Hence it is rotational.

The answer is both rotational and reflectional.

Answer:

I broke it to phrases. Make sure to read both.

It is rotational symmetry. This is because rotational symmetry means it is able to be rotated, and looks the same. This is true with this figure. The lines demonstrate that it is an equal dimensioned 2D shape.

It is ALSO reflection symmetry because this means it can be split through the center and looks exactly the same, as if it was a reflection. This is true here too because it has the same amount of lines split through the same angle on each side making it equal. You can also see a line already going through the shape, and as you can see if you look at see side it looks equal, like a reflection.

The answer is D.

Answer:

58% of 250 is 145.

Step-by-step explanation:

145 * 100/58

= 250

Answer:

250

Step-by-step explanation:

Answer:

21/3 i think

Step-by-step explanation:

uh-

well 2+2 is 4 and 7/3x=2/3 is 2/7

Answer:

6 1/2

Step-by-step explanation:

4 1/2+2 1/2

= 9/2+5/2

=14/2

=7

Hope This Helps, BadAtMath99

Given :

Heather spend 2/7 of her money buying presents.

She then had €48.65 left.

To Find :

The initial amount of money she had.

Solution :

Let, initial amount she had is €x.

So,

[tex]x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}[/tex]

x = €68.11

Therefore, initially he had €68.11 .

Answer: If you see my picture and you will see my answer

Step-by-step explanation: Hope this help

Answer:

(3,7)

Step-by-step explanation:

Answer:

Hello, for the second question, you can actually form a triangle from the line. From there, you can see the height (aka y) will be easier to solve. I hope this helps!

Ans: 1) 47.5

2) 3.4

Step-by-step explanation:

Answer:

19 boxes of tomatoes

Step-by-step explanation:

If she starts with 7 boxes of tomatoes and she picks 2 more each day for 6 days then you can multiply 2 by 6 and get 12 tomatoes then you add the 7 boxes she originally started with and you get 19 boxes of tomatoes.

The number of boxes Nancy had after 6 days is 19, the equation representing the given phrase is y = 2x + 7, and the graph is attached below.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

Nancy has 7 boxes of tomatoes,

Each day, she picks another 2 boxes,

The equation which will represent the above phrase is shown below,

Total number of tomatoes = The number of tomatoes she already had + number of days × each day's tomatoes picked by Nancy,

Assume the total number is y and the number of days is x then,

y = 7 + 2 × x

y = 2x + 7

Put the value of x = 6,

y = 2 × 6 + 7

y = 12 + 7

y = 19

Thus, she has a total of 19 boxes of tomatoes after 6 days.

To know more about Graph:

https://brainly.com/question/10712002

#SPJ2

Answer:

The answer is below

Step-by-step explanation:

From the question,

Statement                                           Reason

ΔWZX and ΔYZX are                         Given

right angled triangles

WX = YX                                              Given

XZ ≅ XZ                                               Reflexive property. The reflexive  

                                                            property of congruence states that              

                                                            any shape is congruent to itself.

∠XZW = ∠XZY                                     Definition of right angle.

∠XWZ = ∠XYZ                                     Definition of isosceles triangle.

                                                             Triangle XYW forms a right angled  

                                                             triangle since YX = WX

∠XWZ + ∠WXZ + ∠XZW = 180°           Sum of angles in triangle WZX

∠XZY + ∠XYZ + ∠YXZ = 180°            Sum of angles in triangle YZX

∠XWZ + ∠WXZ + ∠XZW =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠XYZ + ∠WXZ + ∠XZY =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠WXZ = ∠YXZ                                  Simplification

Answer:

5/6

Step-by-step explanation:

5/6 would be the answer simplified I hope that helps :)

Answer:

5/6 which is 0.83

Step-by-step explanation:

Answer:

c < 8

Step-by-step explanation:

Answer:

5+5root3

Step-by-step explanation:

Answer:

5+5root3

Step-by-step explanation:

sorry if its wrong

Answer:

244 ft²

Step-by-step explanation:

Rectangle Base Area: 6•4=24

Rectangle Side Area: 8•10=80; 80•2(sides) = 160

Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*

*Technically can skip the divide by two and then multiply by two, since they cancel out*

(Area of Triangle Formula= 1/2bh)

Add areas together: 24+160+60= 244 ft²

Answer:

180

Step-by-step explanation:

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

Answer:

Water =2/3× 100%=200/3%=66.67%

So land will be 100% - 66.67%

=33.33

Answer:

that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

Answer:

Step-by-step explanation:

The proportional relationship is:

In the given case we have:

This is a linear function but not proportional relationship because it has y-intercept, different than zero

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!