What is the value of the contangent of

What Is The Value Of The Contangent Of

Answers

Answer 1

Given:

In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].

To find:

The Cotangent of [tex]\angle X[/tex].

Solution:

In a right angle triangle,

[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]

It can be written as:

[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]

For triangle WXY,

[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]

[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]

Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].


Related Questions

This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

Given:

The total revenue of this year = $14,600

This year revenue is 27% less than their total revenue in the previous year.

To find:

The total revenue in the previous year.

Solution:

Let x be the total revenue of the previous year.

This year revenue is 27% less than their total revenue the previous year.

Revenue in this year = Revenue in previous year - 27% of it

[tex]14600=x-\dfrac{27}{100}x[/tex]

[tex]14600=x-0.27x[/tex]

[tex]14600=0.73x[/tex]

Divide both sides by 0.73.

[tex]\dfrac{14600}{0.73}=x[/tex]

[tex]20,000=x[/tex]

Therefore, the total revenue in the previous year is $20,000.

A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)

Answers

Answer:

Step-by-step explanation:

any  combination that has as result 18

18 x1

9 x2

6x3

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10

Answers

Answer:

D) $5385.10

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year

This means that [tex]A(0) = 12500, r = 0.155[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 12500(1-0.155)^t[/tex]

[tex]A(t) = 12500(0.845)^t[/tex]

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]

The correct answer is given by option D.

Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.​

Answers

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

what is the absolute value of 1,123?​

Answers

Answer:

1,123 is the absolute value because it is a positive integer hence it reaches the positive absolute value

Answer:

the correct answer is 1,123

Step-by-step explanation:

absolute value is the non-negative value of a real number, without regard to its sign. which means [1,123]= 1,123

Miguel is posting photos on a school website. He has 48 photos, and he is allowed to
use 12 pages. He wants to put the same number of photos, p, on each page.
1) Which equation represents the situation?

Answers

Answer:

12p=48

Step-by-step explanation:

I need help with this not a test

Answers

Answer:

15$

Step-by-step explanation:

small car is 5 times smaller so we have to multiply the prise of the small car by 5.

Find the lateral area of the cylinder.

Answers

Answer:

[tex]A=440\ m^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 10 m

Hight, h = 14 m

Radius, r = d/2 = 5 m

We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?

Answers

Answer:

[tex]C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (-5,-1)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D = (2,3)[/tex]

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_1)[/tex]

[tex]D = (x_2,y_2)[/tex]

By comparing the general coordinates with the given coordinates, we have:

[tex]x_1 = -5[/tex] --- see A and B

[tex]y_1 = -1[/tex] --- see A and C

[tex]x_2 = 2[/tex] ---- see C and D

[tex]y_2 = 3[/tex] --- see B and D

So, we have:

[tex]C = (x_2,y_1)[/tex]

[tex]C = (2,-1)[/tex]

what is the average of 301,317,167 and 319​

Answers

Answer:

150658743

Step-by-step explanation:

(301 317 167+319)÷2=150658743

Vx
What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%.
O The percent decrease is 25%.
O The percent decrease is 80%.
O The percent decrease is 87%

Answers

I’m pretty sure the answer is %80!

Answer:

C.  80%

Step-by-step explanation:

What is the answer to 4 x n

Answers

Answer:

4n

Step-by-step explanation:

you multiply 4 x n= 4n

:')

The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base of 9 inches. What is the slant height?

Answers

S=20 inches
Hope this helps

Find the surface area of a cube with side base length 10m.

Answers

Answer:

600 m²

Step-by-step explanation:

because the formula for surface area of a cube is 6a² in which a is the side length. so 10² is 100 multiplied by 6 which is 600

What is the volume to the nearest tenth

Answers

Answer:

735.84

Step-by-step explanation:

Search Up Cone Volume Formula

Answer: 84.7 cm

Step-by-step explanation:

I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!

Khan academy pls help!

Answers

Answer:

The answer is b

Step-by-step explanation:

If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.

Answers

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

[tex]C(x)=x^2-15x+34[/tex]

We want to find the number of units manufactured at a cost of $8350. Therefore:

[tex]8350=x^2-15x+34[/tex]

Subtract 8350 from both sides:

[tex]x^2-15x-8316=0[/tex]

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -15, and c = -8316. Thus:

[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]

Therefore, our solutions are:

[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

|x − 5| − |2 − x| + |x + 1| , if x ≥ 5

Answers

Answer:

if the X is equal and large than 5 The X would be 5 or the any numbers large than it :)

answer and show work and ill give brainliest

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

What is the most likely meaning of the word endangered?

influenced

exposed

assisted

threatened

Answers

Answer:

exposed is another word for endangered

Exposed is another word for endangered

I need some help with this,and have this done correctly for brainliest.​

Answers

#5 = 1

Because you have to find x of (-3) and then you find 1.

#6 = 1

The vertical line doesn't represent a function but horizontal line if passed once represents the function.

#7 = 4

You can just plug in the x values into the equation and solve for y and math the answer to the y data.

1) Choice 1, is the correct answer because -3 on the x-axis touches the graph at 6 on the y-axis.

2) Choice 2, is the correct answer. It doesn't pass the horizontal line because it passes through more than one line on the graph. However, it does pass the vertical line test, which only passes through one line and makes this graph a function.

3) Choice 4, is the correct answer. If you use an online graphing tool, you can match up the points on one of these tables. Choice 4 only seems to fit all on these into f(x) = -2x + 6 equation.

Hope this helps :)

Use long division to find the quotient of 1,467 and 58. What is the remainder?

Answers

Answer:

1467 divided by 58 equals

25 with a remainder of 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?

Answers

Answer:

The required interest rate would be of 3.4% a year.

Step-by-step explanation:

The amount of money earned in compound interest, after t years, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Peyton is going to invest $440 and leave it in an account for 5 years.

This means that [tex]P(0) = 440, t = 5[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 440(1+r)^5[/tex]

What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?

This is r for which P(t) = 520. So

[tex]P(t) = 440(1+r)^5[/tex]

[tex](1+r)^5 = \frac{520}{440}[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]

[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.034[/tex]

Then

[tex]r = 1.034 - 1 = 0.034[/tex]

The required interest rate would be of 3.4% a year.

Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.

Answers

ANSWER:
-2y = 4y-12 -6

I need to finish this but im confused :(​

Answers

Answer:

basically, with each value of x, you replace it by x on the equation

Step-by-step explanation:

y=1/3(12)

y=4

--------

y=1/3(3)

y=1

--------

y=1/3(18)

y=6

-------

hope this helped!

Find the average of the function over the given interval. f(x) = x3 over [−1, 1]

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.

The average value is 0.

the least divisor of 78 is?​

Answers

Answer:

Divisors of 78 1,2,3,6,13,26,39,78

what is 13 more than 3 times a number is 34 and what is the solution

Answers

Answer:

13 + 3x = 34

Variables:

x = random number

a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?

Answers

Answer:

Let x be the variable for a t-shirt for $8.

Let y be the variable for shorts for $12.

Let z be the variable for the hats that cost $10 each.

We have the expression 1 below:

$464 = $8x + $12y + $10z

other expressions:

3z = x

2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z

464 = 24z +24z +10z

464 = 58z

z = 8

Solve for x andy:

3z=x

3*8 = 24=x

2z=y

2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.

Step-by-step explanation:

A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution​

Answers

Answer:

25km/h

Step-by-step explanation:

It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.

The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.

17 - 9 = 8

We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.

8/x = 1

x = 8

200/8 = 25

Your answer is 25km/hr

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