The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min. If one such class is randomly selected, find P54

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

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:

Step-by-step explanation step one he has three and two so you have do math.

step two you need to do the math so,tree+two =5.

last step he has 5 so that is it

that is the steps

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:

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

Step-by-step explanation:

hope this helps!

Answer:

The answer would be 24

Step-by-step explanation:

8 x 3 = 24

Answer:

180

Step-by-step explanation:

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

Step-by-step explanation: Hope this help

Answer:

g=8

Step-by-step explanation:

games to wins are the same

g:4=6:3

g=8

Answer:

2

Step-by-step explanation:

the answer is

Answer:

Water =2/3× 100%=200/3%=66.67%

So land will be 100% - 66.67%

=33.33

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

Step-by-step explanation:

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

Answer:

58% of 250 is 145.

Step-by-step explanation:

145 * 100/58

= 250

Answer:

250

Step-by-step explanation:

Answer:

x+x+1=141

2x+1=141

2x=140

x=70

So the two integers are 70 and 71

Answer:

32.8

Step-by-step explanation:

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

Answer:

1. A 2. 9$ 3. C 4. C 5. Because you can see the prices and the difference between prices

Rate pls

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:5n+10d=365.7 pennies

Step-by-step explanation:

Answer:

Division problems with quotient of 9 and remainder of 5 could include:-

23/2 = 9 + 5/2

32/3 = 9 + 5/3

41/4 = 9 + 5/4

50/4 = 9 + 5/5

But you could justifiably object that more natural forms for the answers would be 11 + 1/2, 10 + 1/3, 10 + 1/4 and 10 , and so you may well prefer such as

59/6 = 9 + 5/6

77/8 = 9 + 5/8  ….. and so on

As you can see the general pattern is (9n + 5)/n = 9 + 5/n

You can now make up your own examples, like 212/23 = 9 + 5/23

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

that's the only one i could get i think i dont know im not good at math..... sorry if i didn't help

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

[tex]A^{2}=B^{2}+C^{2}-2AB cos \alpha[/tex]

so we can use the data given by the problem:

[tex]R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha[/tex]

so we can solve this for R, so we get:

[tex]R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}[/tex]

now we can substitute:

[tex]R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}[/tex]

which yields:

R=10,244Lb

Answer:b

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:Numerator

Denominator

What is 18 / 6 simplified?

3⁄1

What is 18 / 6 as a decimal?

3

What is 18 / 6 as a mixed number?

18⁄6 = 3

What is 18 / 6 spelled out?

eighteen sixths

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:

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:

-7x^3+8x^2+x-5

Step-by-step explanation:

We are simply adding the two functions:

f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5