A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find sin Y, tan Y, and cos Y.

Answers

Answer 1

Answer:

Sin Y = 7/25 Cos Y = 24/25 Tan Y = 7/24

Step-by-step explanation:

Using SOH CAH TOA in trigonometry identity to find the sin Y, cos Y and Tan Y

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle Y

Opposite = 7

Adjacent = 24

For Sin Y

[tex]\sin =\frac{Opposite}{Hypotenuse}[/tex]

Sin Y = 7/25

For cos Y:

[tex]\cos Y = \frac{Adjacent}{Hypotenuse}[/tex]

Cos Y = 24/25

For tan Y:

[tex]\tan Y = \frac{Opposite}{Adjacent }[/tex]

Tan Y = 7/24

THEREFORESin Y = 7/25 Cos Y = 24/25 Tan Y = 7/24

Related Questions

Can someone plz help me solve this problem I need help plz someone help me!

Answers

Answer:   25 < P < 36

              15/4 < w < 26/4

              35/4 < L < 46/4

Step-by-step explanation:

Perimeter is BETWEEN 25 and 36

           25 <    P    < 36

Graph:  O--------------O

            25              36

Perimeter = 2L + 2w  ; substitute L = w + 5        

             25 < 2(w + 5) + 2w < 36

             25 < 2w + 10  + 2w < 36

              25 <  4w + 10          < 36

               15 <           4w         < 26

               [tex]\dfrac{15}{4}[/tex] <             w         < [tex]\dfrac{26}{4}[/tex]

              [tex]3\dfrac{3}{4}[/tex]  <              w        <  [tex]6\dfrac{1}{2}[/tex]

Graph:     O------------------------O

              [tex]3\dfrac{3}{4}[/tex]                             [tex]6\dfrac{1}{2}[/tex]

Perimeter = 2L + 2w  ; L = w + 5   --> w = L - 5      

             25 < 2L + 2(L - 5)  < 36

             25 < 2L + 2L  - 10 < 36

              25 <  4L - 10        < 36

              35 <           4L      < 46

              [tex]\dfrac{35}{4}[/tex] <             L       < [tex]\dfrac{46}{4}[/tex]

              [tex]8\dfrac{3}{4}[/tex]  <            L      <  [tex]11\dfrac{1}{2}[/tex]

Graph:     O------------------------O

               [tex]8\dfrac{3}{4}[/tex]                          [tex]11\dfrac{1}{2}[/tex]

Note: Make sure you use OPEN dots when graphing.

which equation has no solution
A l4x-2l=-6
B l-2-xl=9
Cl3x+6l=6
Dl-2x+8l=0​

Answers

Answer:

l4x-2l= -6  equation has no solution

Step-by-step explanation:

l4x-2l≥0

l4x-2l= -6  equation has no solution

What is the value of x?

x + StartFraction 4 Over 9 EndFraction = three-fourths

Answers

Answer:
x = 11/36

Explanation:
Step 1 - Write down the equation

x + 4/9 = 3/4

Step 2 - Subtract 4/9 from both sides of the equation

x + 4/9 = 3/4
x + 4/9 - 4/9 = 3/4 - 4/9
x = 11/36

Extra:
If you would like to check and make sure the value of x is correct, simply replace x with its value and solve.

x + 4/9 = 3/4
11/36 + 4/9 = 3/4
27/36 = 3/4
3/4 = 3/4 ✅

So, the value of x is in fact 11/36

Answer: 11/36

Step-by-step explanation: credit to the person above or below me

what is the length of a 135 arc

Answers

Answer:

3 km

Step-by-step explanation:

Arc length formula:  s = rФ, where Ф is the central angle in radians.

Here the arc length is s = (4 km)(135π/180) = 3 km

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?

Answers

Answer:

The maximum number of ride tickets is 4

Step-by-step explanation:

r = number of ride tickets

f = number of food tickets

r + f ≥ 16

4r + 2f ≤ 40

Using these as equations

f = 16  -r

Using this in the second equation

4r+ 2 (16 -r) = 40

4r +32 -2r = 40

2r +32 = 40

2r = 8

r = 4

The maximum number of ride tickets is 4

Answer:

a)  4

Step-by-step explanation:

edgen2020


Five students were running for class president. Ben received 20 more votes than Jack and 40 less than Anna. Elaina received 20 votes less than Parth, who received more votes than Anna, and 50 votes more than Jack. Which list correctly shows the results from the most to the least votes?

A. Parth, Anna, Elaina, Ben, Jack
B. Parth, Anna, Ben, Elaina, Jack
C. Anna, Parth, Ben, Elaina, Jack
D. Anna, Parth, Elaina, Ben, Jack

Answers

Answer:

A. Parth > Anna > Elaina > Ben >Jack

Step-by-step explanation:

Oooh man, these questions are evil.

Jack<Ben<Anna

Elaina<Parth

Parth : 50 more votes than Jack. 30 more than Ben (50-20). More than Anna.

Parth > Anna > Elaina > Ben >Jack

brainliest would be epic

In 20 words or fewer, describe the kind of relationship you see between the x-coordinates of the midpoint and the endpoint not at the origin

Answers

Answer:

Remember, if we have two points (x1, y1) and (x2, y2) we can draw a segment that connects those two points, and we can define the midpoint of those two endpoints as:

( (x1 + x2)/2. ((y1 + y2)/2)

if we are only in the x-axis, then y = 0.

in this situation one of the endpoints seems to be at the origin, and the other is a given value (X´. 0)

Then, the midpoint is:

( (Xp + 0)/2, 0) = (X´/2, 0)

Then, the relationship is:

"the value at the midpoint is half ot the value at the endpoint that is not at the origin"

Multiply.
11 x 2 =
Submit
Is it 22

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes...yes it is.

Step-by-step explanation:

Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.

Which expression is equivalent to a4⋅b2⋅a‐4⋅b4?

Answers

Answer:

[tex]b^6[/tex]

Step-by-step explanation:

a^4+-4 * b^2+4

a^0*b^6

En la tienda tienen estas ofertas : 1/4 kg de chorizo : 9,25 €. 1/2 kg de queso : 8,50€.¿Cuánto vale 1 kg de cada producto?¿Cuánto cuesta un queso de 2kg?

Answers

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

Samuel took his grandfather's antique clock to be appraised. The appraiser evaluated the current price of the clock to be $400 and stated that the value will continue to increase at 2% per year. Which of the following graphs appropriately displays the value of the clock over time? A. B. C. D. (i couldnt get the graphs to appear for some reason sorry)

Answers

Answer:

The equation is y = 400 (1.02)^x

Step-by-step explanation:

I graphed the above equation. Please refer to the image.

Simplify: (-4y3 + y2 - y - 3) - (-2y3 - 3y + 3)

Answers

Answer:

-2y^3+y^2+2y-6

Step-by-step explanation:

(-4y^3 + y^2 - y - 3) - (-2y^3 - 3y + 3)

Distribute the minus sign

(-4y^3 + y^2 - y - 3) +2y^3 + 3y - 3

Combine like terms

-4y^3 +2y^3 +y^2 -y+3y -3-3

-2y^3+y^2+2y-6

Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false

Answers

Answer: False, language is a more specific word.

Step-by-step explanation:

Language is a complex and structured system of communication.

This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.

The thing in the sentence is more general than language, this refers to communication:

"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."

So the actual sentence is false.

Factor the expression X^4+6X^2 – 7 completely.

Answers

Answer: (x - 1)(x + 1)(x + 7)²

Step-by-step explanation:

x⁴ + 6x² - 7

find two numbers whose product is -7 and sum is +6    -->    -1 & 7

Those values go into the parenthesis: (x² - 1)(x + 7)²

Notice that (x² - 1) is the difference of squares  -->  (x - 1)(x + 1)

is it a proportional relationship

Answers

Answer:

Yes

Step-by-step explanation:

Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?

Answers

Answer:

700/1=700

Th ratio is 700 times more so we multiply by 700

700 x 0.72 = 504

504 pounds

Hope this helps

Step-by-step explanation:

She will get 504 pounds by multiplying 700×0.72= 504.

What is the benefit of changing currency?

Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.

Can you change the currency at the bank?

Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).

Learn more about Currency here https://brainly.com/question/24373500

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The histogram shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project. A) Skewed Right B) Cannot be determined C) Skewed Left D) Symmetrical

Answers

Answer:

C) Skewed Left

Step-by-step explanation:

From the above histogram given, it can observed visually that fewer students spent less hours in Mr. Quentin's class engaging in the online research for the project, while majority of the students spent more hours.

Thus, the histogram is skewed to the left, having a non symmetric shape with a lopsided mound which is bigger on the left of the histogram and smaller to the right of the histogram, as we have few students who spent less hours compared to the vast majority that spent more hours on the research.

Answer:

the answer is C skewed left

Step-by-step explanation:

need help ASAP!!!
Find the sum of each infinite geometric series, if it exists​

Answers

The first series diverges because each successive term is getting multiplied by -3, so the common ratio is larger than 1 in magnitude.

Assuming the second series is

3 - 3/2 + 3/4 - 3/8 + ...

then it converges because the common ratio between terms is -1/2, which is less than 1 in magnitude.

To find the value of the sum, let S denote the n-th partial sum, i.e. the sum of the first n terms in the series:

S = 3 - 3/2 + 3/4 - 3/8 + ... + 3(-1/2)^(n - 2) + 3(-1/2)^(n - 1)

Multiply both sides by -1/2:

(-1/2) S = -3/2 + 3/4 - 3/8 + 3/16 - ... + 3(-1/2)^(n - 1) + 3(-1/2)^n

When we subtract S and (-1/2) S, we see all the middle terms canceling, and we can solve for S:

S - (-1/2) S = 3 - 3(-1/2)^n

S/2 = 3[1 - (-1/2)^n]

S = 6[1 - (-1/2)^n]

As n gets larger, the (-1/2)^n term will converge to 0, leaving us with

lim (n -> infinity) S = 6

so that the series converges to 6.

Solve by completing the square.

h2 + 24h + 19 = 0

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

Answers

Answer:

-23.18, -0.82

Step-by-step explanation:

h² + 24h + 19 = 0h²+2h*12+12²-125=0(h+12)²-√125²=0(h+12+11.18)(h+12-11.18)=0(h+23.18)(h+0.82)=0h+23.18=0 ⇒ h= -23.18h+0.82=0 ⇒ h= -0.82

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

24

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

please help!! any help is appreciated

Answers

Answer:

10 ounces

Step-by-step explanation:

Convert the original container into ounces. (1 quart=32 ounces)

5 x 32 = 160 ounces

Then the milk is divided into two containers.

160 / 2 = 80

Each container is then divided into 8 glasses.

80 / 8 = 10

Each glass has 10 ounces of milk in it.

Which graph represents an exponential function?

Answers

Answer:

The 1st Picture

Step-by-step explanation:

An exponential function is a base with an exponent of x. The parent graph f(x) will always have an asymptote at x= 0 and curve steeply.

Answer:

A

Step-by-step explanation:

took it a minute ago on edg

Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?

Answers

Answer:

Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.

Solve the system by substitution.
у = x
-2x + 4y = 16

Answers

Answer:

Step-by-step explanation:

y = x

-2x + 4y = 16

-2x + 4x = 16

2x = 16

x = 8

y = 8

(8,8)

Answer:

Since y=x, then both variables must be the same.

-2x + 4y= 16

You have to have 16 on both sides

-2(8) + 4(8)=16

-16 + 32= 16

         16=16

Step-by-step explanation:

In the diagram below, the measure of angle 3 is 140, what is the measure of angle 5 ?

I need help with question number 2.
Help me please !

Answers

Answer:

2

Step-by-step explanation:

Angles 3 and 5 are alternate interior angles because they are inside the lines and are on opposite sides of the transversal.

This means they are equal to one another, so 2 is correct because they are alternate interior and angle 5 will be 140 degrees.

All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points

Answers

I’m pretty sure it D

The study with an error range of +-6 percentage points would be the most reliable.

As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.

So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.

Thus, with an error range of +-6 percentage points, has the smallest range.

Learn more about Error problem here:

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La distancia de Urano al Sol es 2 870 990 000 km y la distancia de la Tierra al Sol es 1,496 × 108 km. Aproximadamente, ¿cuántas veces está contenida la distancia de la Tierra al Sol en la distancia de Urano al Sol?

Answers

Answer:

2,7204x 10^9

Step-by-step explanati

2870000000-

149600000

Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix shown below? A. 3 X 15 B. 5 X 3 C. 15 X 3 D. 3 X 5

Answers

Answer:

3 x 5

Step-by-step explanation:

The dimension of a matrix is normally represented in form of:

number of rows x number of columns

In the given matrix, there are 3 rows and 5 columns.

=> The dimension of this matrix is 3 x 5

=> Option D is correct

Hope this helps!

PLEASE HELP ME I WILL GIVE YOU 15 POINTS.

1. Find the simple interest you will obtain if you deposit $600 in bank for 9 months at 4 %per annum.


2. A man walks at a rate of 1.25 / . Find the time he takes to walk 3.75 km.

Answers

Answer:

(1) The formula to calculate simple interest (SI), with principal = 600$, annual rate = 4% = 0.04, and time = 9 months is:

SI = principal x rate x time

   = 600 x (0.04/12) x 9

   = 18$

(2) The formula to calculate the time that man walked 3.75 km, with rate of 1.25:

Time = Distance/Rate

         = 3.75/1.25

         = 3

Hope this helps!

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answers

Answer:

a

Step-by-step explanation:

Identifying a proportion Which proportion resulted in the equation 3a = 7b

Answer:

B

Step-by-step explanation:

help me pls if you the question

Answers

Answer:

[tex]90= 2 \times 3^2 \times 5[/tex]

Step-by-step explanation:

[tex]90= 2 \times 3 \times 3 \times 5[/tex]

[tex]90= 2 \times 3^2 \times 5[/tex]

Answer:

2,3,5

What does prime number mean?

=> A prime number is a number which can be written only as a product of 1 and itself.

Please see the attached picture

Hope it helps..

Good luck on your assignment..

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