In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to angle φ has a length of 49.5 meters, and the hypotenuse has a length of 57.4 meters. What is the value of cot(φ)?

1.979
1.707
0.586
1.160

Answers

Answer 1

The right triangle with sides 29m, 49.5m and 57.4 m has the value of cot  φ as 1.707

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees.

Therefore, it has an opposite, adjacent and hypotenuse side depending on the angle.

oposite side = 29 m

adjacent side = 49.5 m

hypotenuse side = 57.4 m

Therefore,

cot φ = 1 / tan φ

Hence,

tan φ = opposite / adjacent

Therefore,

cot φ = adjacent / opposite

cot φ = 49.5 / 29

cot φ = 1.70689655172

cot  φ =  1.707

learn more on right triangle here: https://brainly.com/question/14615710


Related Questions

help me pleaseeeeeeeeee ​

Answers

Answer:

g(-2) = -1

Step-by-step explanation:

By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.

So g(-2) = -1.

find the circumference of the circle ​

Answers

Answer:

25.133cm

Step-by-step explanation:

Im assuming 8cm is the diameter

circumference = πd

8π=25.133

Brainliest would be very much appreciated

pls help due today the 2 questions are in the picture!!!!

Answers

Answer:

120°

Step-by-step explanation:

the angle is exceeding the 90° so it will be 120°

Which statements describe the graph of y = 4x2 28x 49? check all that apply. the graph has two x-intercepts because 4x2 28x 49 has two different factors. the equation 2x 7 = 0 can be used to find a zero of the function. the equation (2x – 7)2 = 0 can be used to find the y-intercept. the graph has a double root at x = startfraction negative 7 over 2 endfraction. the graph intersects the y-axis at y = 49.

Answers

The true statements about the graph y = 4x2 + 28x + 49 are as follows;

(b) The equation 2x + 7 = 0 can be used to find a zero of the function.

(d) The graph has a double root at x = -7/2.

(e) The graph intersects the y-axis at y = 49.

What is the function of the graph?

The graph of a function f is the graph of the equation y = f (x).

The function is given as:

[tex]\rm y = 4x^2 + 28x + 49[/tex]

Express 28x and 14x + 14x; so, we have:

[tex]\rm y = 4x^2 + 14x+14x + 49[/tex]

Factorize

[tex]\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)[/tex]

Express as a perfect square

[tex]\rm y = (2x+7)^2[/tex]

This means that the graph of the equation has a double root.

It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.

Substitute 0 for x in to determine the y-intercept

[tex]\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49[/tex]

This means that the graph intersects with the y-axis at y = 49

Hence, the true statements are (b), (d), and (e)

Read more about quadratic functions at:

brainly.com/question/11441586

Answer:

b,d, and ,e

Step-by-step explanation:

trust i just did it

PLEASE I NEED HELP!!!

Answers

Answer:

1/27

Step-by-step explanation:

Okay first, calm down. Math is always hard when your stressed.

First step is to elimate b and write the equation in terms of a. So rearrange a-b=3 to b=a-3. Substitue that into the equation. Now you have :

27^1/3(a-3)

---------------

9^1/2(a)

Now rewrite the equation in terms of 3, you do this by realizing that 9 is simply 3^2 and 27 is simply 3^3. This gives you

3^(a-3)

---------

3^a

Now you use the laws of powers, and you get 3^-3, which is essentially 1/27.

pls lmk the answer please

Answers

Answer:

Step-by-step explanation:

The only way I can solve this is by assuming the letter on the far left is a B. If that is the case, <BAC and <EAC are supplementary.

Ignore the line going from C to D and look at the angle that is left. <EAC is out in the open. What happens is that <EAC and <BAC share the same starting poing which is A.

Each of the angles divide the diameter in two. The construction makes a total angle of 180 degrees which makes them supplementray.

<BAC + <EAC = 180o

<EAC = 31 degrees         Given. Substitute that value into the equation above.

<BAC + 31 = 180              Subtract 31 from both sides.

<BAC +31-31 = 180 - 31    Combine

<BAC = 149

graph: y = 3 sin (1/3 * x) - 2

Answers

Please the explanation of this question on how to graph a sinusoidal function for further information about the graph of the resulting expression.

How to graph a sinusoidal function

Sinusoidal functions have a period of 2π and represent a kind of symmetical bounded functions. In this case, the given expression have a period of 6π and is bounded between -5 and 1.

The procedure to graph the given expression is summarized below:

Construct an horizontal axis from 0 to 6π.Construct a vertical axis that goes through the horizontal axis and is bounded between -5 and 1.Evaluate the function for x-values with equal intervals.Add the resulting points to the graph and match all the points in-between by following the +x semiaxis.

Lastly, we present the outcome derived from the given procedure in the image attached below.

To learn more on sinusoidal function, we kindly invite to check this verified question: https://brainly.com/question/12060967

One side of an enlargement of the rhombus is shown by the dotted line.

A)Complete the enlarged rhombus.

B) What is the scale factor of the enlargement?


HELP

Answers

Answer:

  A) see attached

  B) 2

Step-by-step explanation:

A)

See the attachment for a completed enlargement of the given rhombus.

__

B)

The enlarged side shown in the problem statement is twice as long as the nearest parallel side of the rhombus. The scale factor is the ratio of the enlarged side length to the original side length: 2 : 1. The scale factor is 2.

_____

Additional comment

There are several ways you can determine the scale factor. The endpoints of the image side are twice as far from the center of the rhombus as the original rhombus vertices. (The original extends 1 unit left, for example, while the enlargement is 2 units left.)

The length of a side of the original (blue) rhombus is the diagonal of a 1×2 rectangle on the grid. The drawn side of the image is two such lengths.

Evaluate −3x + 2 for x = −2.

Answers

-3(-2)+2=6+2=8
I know this is an easy question but can I get brainliest please.

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{8}[/tex]

→ Explanation :-

We can do the quicker way, or the long way.

The quicker way is:

[tex]\sf{(-3)(-2) \: + \: 2}[/tex]

[tex]\sf{= 6 \: + \: 2}[/tex]

[tex]\sf{= 8}[/tex]

The long way is:

Evaluate −3x + 2 for x = −2.

Evaluate of [tex]\sf{3x^2 \: + x \: -2 \: of \: x = -2}[/tex]

Do the expression of [tex]\sf{x = -2}[/tex] in the expression.

[tex]\sf= {3(-2)^2 \: + \: (-2) \: -2}[/tex]

[tex]\sf{= 3(4) -2 \: -2}[/tex]

[tex]\sf{= 12 \: - 4}[/tex]

[tex]\sf{= 8}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

SOLVE.

1/2 (X-3/4) = 5/12

Answers

[tex]~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}[/tex]

need answers quicklyyyyyyyyyyyyyyyyyyyyy will give the brainiest and 80 points
1:Simplify the following expression completely for x = 4. (Leave your answer as a fraction or whole number. Remember, you may need to substitute 4 in for x and then solve.)
14(x^-2) this is 1

2:Which expressions have values less than 1 when x = 4? Select all that apply.
1>(3/x^2)^0
2>x^0/3^2
3>1/6^-2
4>1/^-3
5>3x^-4

Answers

Answer:

i think 4>1/^-3 im not sure tho i hope this helps

Step-by-step explanation

Answer:

1.(3/(4)^2)^0=1

2.(4)^0/3^2-0.1111111111

3.1/6^-2=36

4.1/(4)^-3=64

5.3(4)^-4=4.82253086×10−5

Step-by-step explanation:

hope this helps

#LeaRNwiTHbRAinLy

Find the slope for (9,4) and (0,5)

Answers

Answer:

Slope (m) =ΔY=1=1θ =arctan( ΔY)ΔX=45° =14π

ΔX = 9 – 5 = 4

ΔY = 4 – 0 = 4

Distance (d) = √ΔX2 + ΔY2 = √32 = 5.6568542494924

y = x – 5

When x=0, y = -5

When y=0, x = 5

Step-by-step explanation:

hope this helps If not please let me now

Two inscribed angles that intercept the same arc are.

Answers

Answer:

In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!

News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. this process is an example of random sampling. stratified sampling. systematic random sampling. cluster sampling.

Answers

The given process is an example of a cluster system.

What is the cluster system?

The clustered systems are a combination of hardware clusters and software clusters.

The hardware clusters help in sharing of high-performance disks between the systems.

The software clusters makes all the systems work together.

Each node in the clustered systems contains the cluster software.

A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).

In a cluster, each & every computer is known to be a “node”.


To know more about the cluster system click the link given below.

brainly.com/question/4804019

Answer: D. cluster sampling

Step-by-step explanation:

pLs hElP gIvInG DUE TODAY 23 points

Answers

Answer:

Answer down below!

Step-by-step explanation:

1) 10

2) 4

3) 6

----------------

1 ) we know that perimeter = all the sides combined.

12+12+10+10=44(44 is the given perim.; so therefore if 12x2+10x2=44, 20 is the missing width.

2 ) we know that area = lw.

10x4= 4044 is the given area, so therefore if 10x4=40, 4 is the base.

3 ) we know that area = lw.

we need to find the area of the square. 3 x 2 = 6. 6 is the area of the missing square or the part that needs to be covered.

14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi

Answers

Answer:

Volume of the sphere is 904.3 mi³

Step-by-step explanation:

Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:

[tex] \\ \: \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\ [/tex]

Substituting the required values:

[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times {(6)}^{3} \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times 216 \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 678.24 \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{2712.96}{3} \\ \\ [/tex]

[tex] \: \: \dashrightarrow \sf \: \: { \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \: {mi}^{3} }}}}}} \\ \\ [/tex]

Hence,

Volume of the sphere is 904.3 mi³

Step-by-step explanation:

Given :-

radius of sphere = 6mi

To find =

Volume of sphere

Solution =

Volume of sphere = 4/3 πr³

putting the known values ,

Volume = 4/3 × 3.14 × 6³ mi³

Volume = 904.32 mi³

rounding off to nearest tenth ,

Volume = 904.3 mi³

PLEASE help.
I feel like the logical answers I have picked are constantly being said to be wrong.
if anyone knows the official answers please let me know.

This is on FoolProof, "Renting a Pad"; aka Module 9.

Answers

1 - Not Rent
2 - Not rent
3 - Rent
4 - Rent
5 - I think Not rent?
6- not rent.

5 Can be fixable, because you can just simply not do any of those things. But if that’s not an option I would definitely say not rent

If triangle RST and triangle XYZ are similar, which of these equations must be true?

Answers

Answer: A

Step-by-step explanation:

If they are similar, that means the proportions for corresponding sides will be the same.

          I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.

(A) says that side ST is corresponding with side YZ,

          [] Triangle RST and triangle XYZ

          -> Correct

(A) also says that side RT is corresponding with size XZ,

          [] Triangle RST and triangle XYZ

          -> Correct

               This means that option A is the correct answer.

While staying in buenos aires, argentina, you decide to take a trip to three other cities: tucuman, bahia blanca, and salta. the following table shows the costs associated with traveling to or from each of these four cities. all costs listed are given in argentine pesos ($). origin and destination cost ($) buenos aires to tucuman 211 buenos aires to bahia blanca 268 buenos aires to salta 238 tucuman to buenos aires 272 tucuman to bahia blanca 195 tucuman to salta 203 bahia blanca to buenos aires 200 bahia blanca to tucuman 229 bahia blanca to salta 211 salta to buenos aires 193 salta to tucuman 267 salta to bahia blanca 275 using the information in the table, determine the least expensive way to visit all of these cities, starting and ending in buenos aires. a. buenos aires right arrow. salta right arrow. bahia blanca right arrow. tucuman right arrow. buenos aires b. buenos aires right arrow. tucuman right arrow. salta right arrow. bahia blanca right arrow. buenos aires c. buenos aires right arrow. tucuman right arrow. bahia blanca right arrow. salta right arrow. buenos aires d. buenos aires right arrow. bahia blanca right arrow. tucuman right arrow. salta right arrow. buenos aires

Answers

Answer: C. Buenos Aries-Tucuman-Bahia Blanca-Salta-Buenos Aries

Step-by-step explanation:

Edg 2022

Pls hurry and ty!!!!​

Answers

Answer: 64

Step-by-step explanation:

So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.

Answer:

64 feet

Step-by-step explanation:

LxHxW

4x4x4

64 feet

Which of the following represents the sum of the series below? 4 7 10 13 16 19 22 25 28 31 34 37 40

Answers

The sum of the given series 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40 will be 286.

What is a series?

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

The series is given below.

4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40

Then the sum of the series will be

[tex]\rm S = \dfrac{n}{2}(a + L)[/tex]

where n is the total number of the terms, a is the first term, and L is the last term. Then we have

a = 4

L = 40

n = 13

Then

[tex]\rm S = \dfrac{13}{2}(4 + 40)\\\\S = \dfrac{13}{2} \times 44\\\\S = 13 \times 22\\\\S = 286[/tex]

More about the series link is given below.

Series - https://brainly.com/question/10813422

What is the volume of the sphere? Use 3.14 for and round to the nearest whole number.
5 cm
0
About
cm3

Answers

cutei mo boy Chad bleehhh

don't spam!!
read the instruction first
complete answe= Brainliest answer​

Answers

Answer:

Step-by-step explanation:

3)

[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]

g -> gravitational acceleration = 9.8 m/s²

[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]

    = 882 m

[tex]\bold{\huge{\underline{ Answer }}}[/tex]

Answer 1 :-

Here, We have

Initial velocity = 0 , as jeepney started from rest Time = 2 seconds Distance = 20 m

Therefore,

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]

[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]

[tex]\sf{ 20 = 2a }[/tex]

[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]

[tex]\sf{ a = 10\:m/s^{2}}[/tex]

Hence, The acceleration of the jeepeny is 10 m/s² .

Answer 2 :-

Here, we have

Initial velocity = 0 , as the coins started rolling from rest. Acceleration = 4 m/s²Time = 3 seconds

Therefore,

By using second equation of motion

[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]

Subsitute the required values,

[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]

[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]

[tex]\sf{ S = 18 \: m }[/tex]

Hence, The coin will reach 18 m after 3 seconds.

Answer 3 :-

Here,

A stone fell from a 45 m high cliff and hit the ground.

So,

Initial velocity = 0Distance = 45 mAcceleration due to gravity

By using third equation of motion

[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]

Subsitute the required values,

[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]

[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]

[tex]\sf{ v^{2} = 882 m}[/tex]

[tex]\sf{ v = \sqrt{882} m}[/tex]

[tex]\sf{ v = 29.7 m/s}[/tex]

Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.

Evaluate 7+ (-3x?) for x = 0.




Answers

Answer:

it's just 7

Step-by-step explanation:

because if x is 0 then -3 times 0 will be 0 and 7 + 0 is 7

True or false. A complete graph is planar

Answers

Answer:

true

Step-by-step explanation:

The base of a regular pyramid is a hexagon
12 cm 30°
a
What is the area of the base of the pyramid?

Answers

Answer:

Below in bold.

Step-by-step explanation:

The hexagon is made up of 6 equilateral triangles.

So the Base = 12 cm.

Height a = 12 cos 30 = 10.392 cm

So area of 1 triangle =  1/2 * 12 * 10.392 cm^2

- and total area =  6 *  1/2 * 12 * 10.392

= 36 * 10.392

= 374.11 cm^2 to the nearest hundredth.

Find the surface area of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.

Answers

Answer:

581.1

Step-by-step explanation:

581.1

Find the least number 1008 would need to be multiplied by to give a square number :)

Answers

Answer:

7

Step-by-step explanation:

1008 Must be multiplied by 7 to get a a perfect square.

Looking at the stock performance chart below, which company has overall
outperformed the Dow Jones (DJI)?

O A. Domino's Pizza (DPZ)
O B. McDonald's (MCD)
O C. Papa John's Pizza (PZZA)
O D. Jet Blue (JBLU)

Answers

Answer:

We cant see the full image.

Step-by-step explanation:

Please help I need it urgent I will give brainlest and heart plus an Amazon gift 25$

Answers

sides

13 X 42 = 546 square foot there are four of these

546 X 4 = 2184 square foot.

triangles

A= 0.5 X b X h

0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot

2184 + 312 = 2496 square foot

2496/277 = 9.010

9 gallons of paint will need to be purchased.

Answer:

9 gallons

Step-by-step explanation:

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