A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ

A Right Triangle Has Side Lengths D, E And F As Shown Below Use These Lengths To Find Cos X, Tan X And

Answers

Answer 1

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

Answer 2

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

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Related Questions

I NEED HELP WITH C , help i dont understand

Answers

Answer:

SAS

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. Since C stipulates that [tex]\angle ENM=\angle ZNM[/tex], the two triangles would share two sides and the angle between them, thus being congruent from SAS.

Please help thank you!

Answers

Answer:

24.

(-24 ÷

[tex] {6}^{2} [/tex]

16+8= 24

What is the product?

(x − 3)(2x2 − 5x + 1)

Answers

Answer:

5x2+20x−15

Step-by-step explanation:

Match them BRAINLIEST IF CORRECT ​

Answers

Answer:

1/2 for the red card

1/52 for queen of hearts

1/4 for clubs

3/13

Step-by-step explanation:

the red card is 1/2 because the only other color is black

there is only one queen of hearts

it is one of four possible symbols

because that is the only one left

Math help please urgent

Answers

Answer:

16 m^2

Step-by-step explanation:

Area of triangle = (Base * Height) / 2

Area of triangle = ( 8 * 4 ) / 2

Area of triangle = 16

plzz helppp it's due today​

Answers

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

hypotenuse -> xopposite side to 30˚ -> 4

Angle

30˚

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

Answer:

Step-by-step explanation:

sin 30° = [tex]\frac{4}{x}[/tex]

x = [tex]\frac{4}{sin 30}[/tex]

x = [tex]\frac{4}{0.5}[/tex]

x = 8

A full waterbed mattress is 6 ft by 2 ft by 1 ft. The mattress is to be filled with water that weighs 62.4 lb /ft3. Find the weight of the water in the mattress to the nearest pound.

Answers

Answer:

749 lbs

Step-by-step explanation:

weight of the water in the mattress = volume of the mattress x weight of water

volume of the mattress = volume of a cuboid = length x width x height

6 x 2 x 1 = 12 ft³

weight of the water in the mattress = 12 x 62.4 = 748.8 lbs

749 lbs to the nearest pound

Which sentence explains why polygon ABCDEFGH is congruent to polygon MNOPQRST?


A.
A sequence of translations will map MNOPQRST onto ABCDEFGH.
B.
A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.
C.
A sequence of rotations will map MNOPQRST onto ABCDEFGH.
D.
A sequence of reflections will map MNOPQRST onto ABCDEFGH.

Answers

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Fifty-five petcent of people in a survey said that they do exercise on a fairly regular basis. If 12,000 people were sureveyed, how many of them exercised on a fairly regular basis? A. 5,000 B. 5,500 C. 6000 D. 6,600​

Answers

Your answer might be “D. 6600”
Hope it helps : )

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Answer: need a picture of the traingle but if it's at a 90 degree angle on any sides then yes

Step-by-step explanation:

What is the probability of an event that is certain?

Answers

Answer:

Nvm my answer is wrong

An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.

Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am, and arrived in the city at 11:15 a.m. The
train's average speed was 60 miles per hour. How far did Lucas travel by train?
75 miles
105 miles
135 miles
165 miles

Answers

Sheeeseeeeeeeeeeeeeeeeeesh

The distance travelled by the Lucas will be equal to 105 miles.

What is an average speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

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se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B

Answers

Answer:

i dont know spanish

Step-by-step explanation:

Please helpp I will mark brainliest!!<3

Answers

It’s, 4+x=12. Hope this helps☺️

Step-by-step explanation:

x+4=12

In this equation, x is a unknown value,

x plus four is twelve.

So, it also represents four more than x is twelve.

у=-3x+3
y = -9x + 15

Answers

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

Consider the systems of equations:

y=4/5 x−3

y=4/5 x+1

Without graphing, determine and explain how many solutions you would expect this system of equations to have.

Answers

Answer:

no solutions; the lines are parallel

Step-by-step explanation:

The eqautions are in slope intercept form.

The slope of both lines is 4/5; therefor the lines are parallel

The y-intercept of one line is -3 and the other is 1

That means the parallelines never meet.

There are no solutions

There are no solutions for the system of equations y=4/5 x−3

and y=4/5 x+1

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The system of equations,

y=4/5 x−3

y=4/5 x+1

The equations are in slope intercept form.

As we observe the equations, the slopes of two equations is 4/5.

The slope of both lines is 4/5

Therefor the lines are parallel

The y-intercept of one line is -3 and the other is 1

That means the parallel lines never meet. There are no solutions

Hence there are no solutions for the system of equations y=4/5 x−3

and y=4/5 x+1

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There is a special baking tray for skinny cakes whose length is 13 more than 2 times its width, and the area is 115 square inches. What are the dimensions of the baking tray?

Answers

Answer:

5 inches by 25 inches

Step-by-step explanation:

From the question,

Let the width of the baking tray be(w) = x inches,

Then the lenght of the baking tray(l) = (2x+13) inches

If the area of the baking tray = 115 square inches

Applying,

A = lw................. Equation 1

Therefore,

x(2x+13) = 115

2x²+13x = 115

2x²+13x-115 = 0

Using factorization method to solve the quadratic equation

2x²-10x+23x-115 = 0

(2x²-10x)+(23x-115) = 0

2x(x-5)+23(x-5) = 0

(2x+23)(x-5) = 0

Either

2x+23 = 0

x = -23/2

or

x-5 = 0

x = 5.

dimensions of the tray is

w = 5 inches

l = (2×5)+15 = 10+15 = 25 inches

Hence the dimensions of the baking tray = 5 inches by 25 inches

Which data set could be represented by the box plot shown below?

Answers

Answer:

The answer is C

Step-by-step explanation:

the lowest point of the box plot is at 1  and the highest is at 19, so by that it can't be A.

The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.

HELPPPPP!!!! ASAPPPPP!!!!!

Answers

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

A line that includes the point (2, 9) has a slope of 8. What is its equation in slope-intercept
form?

Answers

Answer:

y-8x+7=0

Step-by-step explanation:

slope(m)=8

using slope intercept form of equation of staright line we get

y=mx+b

y=8*x+b

y-8x=b ................  eq(i)

since the line include the point (2,9) it satisfies the euation,

here x=2 and y=9

equation: y-8x=b

9-8*2=b

9-16=-b

-7=b

substituting the value of b in eq(i) we get

y-8x=-7

y-8x+7=0   is a required equation of the line.

Please help thanks this is due today!

Answers

D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅

Step-by-step explanation:

[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

37 + (-37) im looking for the answer

Answers

Answer:

0

Step-by-step explanation:

37 + (-37)

open the bracket

remember when u multiply the bracket - sign and + sign also gets multiplied and (-) * (+) is( -) . So

37 - 37

0

Help! What is the answer?

Answers

Answer:

c ......................

HELP PLEASE! for 20 points

Answers

Volume is base * height

Volume is hence 24 in * 6 in

Which gives you 144 in

Volume is 144in^3 (144 in cubed)

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse

Answers

Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

PLEASE HELP ME, THANK YOU!!

EXPLAIN YOUR ANSWER FOR BRAINLIEST


A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

The volume of the dilated prism is ___ cubic cm.

(this is just a word question)

Answers

Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.

What are the coordinates of the point 1/6 of the way from a to b?

Answers

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

The ratios a: B and B :c are equivalent to one another
Select all the statements that must be true

Answers

Answer:

Options (2) and (5)

Step-by-step explanation:

Given ratio is a : b and b : c

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

[tex]\frac{b}{a}= \frac{c}{b}[/tex] [Option 2]

[tex]\frac{a}{b}=\frac{b}{c}[/tex]

b × b = a × c

b² = ac

If a = b,

b² = bc

b = c [Option 5]

Therefore, Options (2) and (5) are the correct options.

Runner A runs at 10 km/h due north. Runner B leaves the same spot and runs at 12 km/h due east. Find the distance and bearing of runner B from runner A after 30 minutes

Answers

Answer: [tex]7.81\ km[/tex]

Step-by-step explanation:

Given

Runner A runs towards North at speed of 10 km/h

Runner B runs towards East at speed of 12 km/h

After half hour, they covered a distance of

[tex]\Rightarrow d_a=10\times 0.5\\\Rightarrow d_a=5\ km[/tex]

[tex]\Rightarrow d_b=12\times 0.5\\\Rightarrow d_b=6\ km[/tex]

They are running in perpendicular direction to each other

So, the distance between them is  given by

[tex]\Rightarrow d=\sqrt{d_a^2+d_b^2}\\\Rightarrow d=\sqrt{5^2+6^2}\\\Rightarrow d=\sqrt{61}\\\Rightarrow d=7.81\ km[/tex]

Pls I need this before midnight (USA)

Answers

Answer:

I can’t post an image, but I’ll explain below

Step-by-step explanation:

Start at a point where the line crosses through a coordinate exactly, like (0,1), and find a second one. Draw a line from the first to the right until it’s over the second point, then go down to the second point. It should look like half of a rectangle. Just follow the lines of the graph :)

I hope this helps just point it on the line
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