what are the trig ratios for a right triangle?

Answers

Answer 1

Sintheta=[tex]\frac{Perpendicular}{Hypotenuse}[/tex]

Costheta=[tex]\frac{Base}{Hypotenuse}[/tex]

Tantheta=[tex]\frac{Perpendicular}{Base}[/tex]

Easy way to remember this ' Some People Have Curly Brown Hair Through Proper Brushing'

Hope this helps :)

Answer 2
Final answer:

The trigonometric ratios for a right triangle are sine, cosine, and tangent, which relate the sides of the triangle.

Explanation:

The trigonometric ratios for a right triangle are sine, cosine, and tangent. Each ratio is defined in terms of the sides of the triangle.

The sine (sin) ratio is defined as the ratio of the opposite side to the hypotenuse. It is calculated as sin(A) = y/h, where y is the length of the opposite side and h is the length of the hypotenuse.

The cosine (cos) ratio is defined as the ratio of the adjacent side to the hypotenuse. It is calculated as cos(A) = x/h, where x is the length of the adjacent side and h is the length of the hypotenuse.

The tangent (tan) ratio is defined as the ratio of the opposite side to the adjacent side. It is calculated as tan(A) = y/x, where y is the length of the opposite side and x is the length of the adjacent side.


Related Questions

Which ordered pair is a solution of the equation? 7x-2y=-5

Answers

answer X= 5 over 7 and 2 over 7y step by step explaination add 2y on both sides u cancelled -2y and positive 2y u bring down 7X u get 7X=-5+3 then u divide and u get that answer yw have a nice day mark me brainliest

Answer:

2y=-x7

Love mORgan

what is 3(x-4)-7=(2x-3)

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable.

So the answer to your question is :

x = 16.

Hope this helps,

Davinia.

Answer:

x = 16

Step-by-step explanation:

distribute parenthesis on both sides and simplify

3x - 12 - 7 = 2x - 3

3x - 19 = 2x - 3 ( subtract 2x from both sides )

x - 19 = - 3 ( add 19 to both sides )

x = 16

6/10+39/100 find the sum

Answers

The answer is-

Exact form: 99/100

Decimal form: 0.99

What is the range of the graph

Answers

Answer:

Range: all real numbers greater than or equal to  2

Step-by-step explanation:

The range is the possible numbers that the output can take

Y can be any number greater than or equal to 2

Range: all real numbers greater than or equal to  2

As part of your training schedule you plan to jog once a week around the reservoir shown below on the map.


One lap along the perimeter of the reservoir is 25 cm. What is the actual length of a lap?

Answers

Final answer:

The actual length of a lap cannot be determined without the scale of the map. The 25 cm measurement seems to be from the map, so without knowing the real-world equivalent of the map's measurements, we can't find the actual distance.

Explanation:

The length of a lap around the reservoir cannot be directly determined from the information given. The measurement provided (25 cm) appears to be a distance measured on a map or plan of the area, and not in real life. In order to convert that measurement into a real-world distance, we need the scale of the map. A map's scale is typically represented as a ratio that indicates the relationship between a certain distance on the map and the real-world distance it represents.

For example, if the map's scale was 1 cm : 1 km, then a measurement of 25 cm on the map would represent a real-world distance of 25 km. However, without the scale, we cannot accurately determine the actual length of a lap around the reservoir. This concept is extremely important in geography and cartography as well as in mathematical problems dealing with maps and scales.

Learn more about Map Scale here:

https://brainly.com/question/24486949

#SPJ11

What is the area of this triangle? please help me.

Answers

Answer:

6

Step-by-step explanation:

Area of a triangle: bh/2

4*3/2=6

Answer:

6 units²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = DE = 3 units and

h is the distance from the vertex F to DE = 4 units, hence

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 units²

Find the missing number: 8.4(1.5 + 2.3) = 12.6 +

Answers

Answer:

19.32

Step-by-step explanation:

One way to find the missing number is to get the value of the left side of the equation first.

8.4(1.5 + 2.3) = 31.92

Now we need to take that value and subtract it to the value on the right side of the equation.

31.92 - 12.6 = 19.32

So we have:

8.4(1.5 + 2.3) = 12.6 + 19.32

31.92 = 31.92

Answer:

The required number is 19.32

Step-by-step explanation:

Consider the provided expression.

Let the missing number is x.

[tex]8.4(1.5 + 2.3) = 12.6 +x[/tex]

Add the numbers as shown.

[tex]8.4(3.8) = 12.6 +x[/tex]

Open the parentheses.

[tex]31.92= 12.6 +x[/tex]

Subtract 12.6 from both the sides.

[tex]31.92-12.6= 12.6-12.6 +x[/tex]

[tex]x=19.32[/tex]

Hence, the required number is 19.32

6....................

Answers

Answer:

option (a)

x - √7x / x - 7

Step-by-step explanation:

Given the expression in the question

  √x / (√x + √7)

 There are 3 steps to follow

Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. Make sure all radicals are simplified. Simplify the fraction if needed.

Step 1

Multiply by √x - √7

√x (√x - √7) /  (√x + √7)(√x - √7)

√x .√x - √7.√x / (√x + √7)(√x - √7)

Step 2

a² - b² = (a+b)(a-b)

√x² - √7x / √x² - √7²

Step 3

x - √7x / x - 7

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use your knowledge of polynomial division and the quadratic formula.

x3 - 27 = 0

Answers

Answer:   3

Step-by-step explanation:

[tex]x^3-27=0\\\\x^3=27\\\\\sqrt[3]{x^3}=\sqrt[3]{27}\\\\x=\sqrt[3]{3\cdot 3\cdot 3} \\\\x=3[/tex]

whats the answer
(5+3i)+(2-2i)

Answers

Answer: 7 + i

Step by step:

Remove parentheses.

5 + 3i + 2 - 2i

Add 5 and 2

7 + 3i - 2i

Subtract 2i and 3i

7 + i

The sum of the complex numbers (5+3i) and (2-2i) is 7+i. You add the real parts to get 7 and the imaginary parts to get i, then combine them.

Adding two complex numbers: (5+3i)+(2-2i). To perform this addition, we simply add the real parts and the imaginary parts separately. The real parts are 5 and 2, and when we add them together we get 7. The imaginary parts are 3i and -2i, which sum up to 1i (or just i). Hence, the result of the addition of these two complex numbers is 7+i.

To further clarify with an example similar to the student's question: (3+4i) + (−2+7i) = (3 - 2) + (4 + 7)i = 1 + 11i. The process is straightforward—add the real numbers, add the imaginary numbers, and combine them into one complex number.

Solve for t.
t ÷ 5 1/3 = 3/4

Answers

Answer:

t = 4

Step-by-step explanation:

To solve for t, convert the numbers to improper functions. Then multiply by 16/3 on each side.

t ÷ 5 1/3 = 3/4

t ÷ 16/3 = 3/4

t = 16/3 * 3/4

t = 48/12

t = 4

Which expression is equivalent to (cd)^5​

Answers

Answer:

c^5 *d^5

Step-by-step explanation:

Help plz !! Need this to graduate

Answers


[tex] \sqrt[3]{x {}^{5} } = x \sqrt[3]{x {}^{2} } [/tex]

Point P is the image of P -2,-2 under a translation by 1 unit to the left and 3 units down.

Answers

Answer:

(- 3, - 5)

Step-by-step explanation:

A translation of 1 unit left, subtract 1 from x- coordinate

A translation of 3 units down, subtract 3 from y- coordinate

The translation rule is

(x, y) → (x - 1, y - 3), hence

(-2, - 2) → (- 2 - 1, - 2 - 3) → (- 3, - 5)

An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical

Answers

Answer:

[tex]\boxed{\bold{Not \ Statistical}}[/tex]

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"An Antique Collector wants to know the age or a particular chair in a shop"

                                                V

Statistical                       Not Statistical

[tex]\boxed{\bold{>}}[/tex] This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

Please !!! Someone help me

Answers

answer is the last one D

pls mark brainliest

The answer is D good luck

Claire made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Claire doesn’t touch the money in her account, she can find the amount she’ll have the next year by multiplying her current amount by 1.03. A) how much money will Claire have in her account after 1 year? After 2 years? B) how much money will Claire have in her account after 5 years? Explain your reasoning. C) Write an expression for the amount of money Claire would have after 30 years if she never withdraws money from that account.

Answers

We can make and use the equation: A = 160( 1.03 )^y: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)

A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74

B) 160 * 1.03⁵ = 185.48385 ≈ $185.48

The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.

C) 160(1.03)³⁰

Final answer:

Claire will have $164.80 after 1 year and $169.74 after 2 years in her savings account due to the 3% interest rate. After 5 years, she will have $185.86. The expression for the amount after 30 years is $160 × (1.03)³⁰.

Explanation:

When Claire deposited $160 into her savings account at a 3% interest rate per year, she initiated a process of compound interest. This means each year, the amount of money in her account will increase by 3% of the amount from the previous year. The way to find out how much money she will have after a certain number of years is to multiply the initial amount by 1.03 raised to the power of the number of years.

Interest After 1 Year

After 1 year: $160 × 1.03 = $164.80

Interest After 2 Years

After 2 years: $160 × (1.03)² = $169.74

Interest After 5 Years

After 5 years: $160 × (1.03)⁵ = $185.86. This is calculated using the formula for compound interest: $160 × 1.03 raised to the fifth power.

Interest After 30 Years

To write an expression for the amount of money she will have in 30 years: $160 × (1.03)³⁰. This follows the general formula for compound interest, which is the initial amount times one plus the interest rate raised to the number of years.

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

Answers

Answer: third option.

Step-by-step explanation:

You know that:

- There are 10⁹ bytes in a gigabyte.

- There are 10⁶  bytes in a megabyte.

Then, to know how many times greater  the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.

Remember the quotient of powers property:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

Then:

[tex]=\frac{10^9}{10^6}=10^3=1,000[/tex] times greater

 

Answer:

1,000

Step-by-step explanation:

The numbers of hours that 12 students say they typically spend on homework in a week are 2, 0, 10, 8,10, 8, 8, 8, 10, 10, 8, and 8. What is the mean number of hours? What are the outliers in the data set?

Answers

Answer:

The mean is 7.5 and the outliers are 0 and 2

Step-by-step explanation:

To find the mean, add all of the numbers together and divide by the amount of numbers.

2 + 0 + 10 + 8 + 10 + 8 + 8 + 8 + 10 + 10 + 8 + 8 = 90

90/12 = 7.5

To see the outliers, look for the numbers far away from the mean.

What is 6x^2-12x+y+13=0 in vertex form of parabolas

Answers

Answer:

[tex]y=-6(x-1)^{2}-7[/tex]

Step-by-step explanation:

we have

[tex]6x^{2} -12x+y+13=0[/tex]

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y+13=-6x^{2} +12x[/tex]

Factor the leading coefficient

[tex]y+13=-6(x^{2} -2x)[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y+13-6=-6(x^{2} -2x+1)[/tex]

[tex]y+7=-6(x^{2} -2x+1)[/tex]

Rewrite as perfect squares

[tex]y+7=-6(x-1)^{2}[/tex]

[tex]y=-6(x-1)^{2}-7[/tex] -----> equation of the parabola in vertex form

The vertex is (1,-7) is a maximum, the parabola open downward

Final answer:

To convert 6x^2 - 12x + y + 13 = 0 to vertex form, follow the steps to complete the square and rewrite the equation as (x - 1)^2 = -y/6 - 7/6.

Explanation:

The equation 6x^2-12x+y+13=0 is in the general form of a quadratic equation. To convert it into the vertex form, we need to complete the square.

First, let's group the x terms together: 6x^2 - 12x = -(y + 13).

Next, let's complete the square: 6(x^2 - 2x) = -(y + 13).

Now, we can add (2/2)^2 = 1 to both sides to complete the square: 6(x^2 - 2x + 1) = -(y + 13) + 6.

Simplifying further, we get 6(x - 1)^2 = -y - 7.

Finally, we can write the equation in vertex form by dividing both sides by 6: (x - 1)^2 = -y/6 - 7/6.

Learn more about Quadratic equations here:

https://brainly.com/question/30098550

#SPJ3

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. x + y > 3 x + y < -4

Answers

Answer:

The graph for the following system of inequalities is attached below.

Step-by-step explanation:

The given system of inequalities is

[tex]x+y>3[/tex]                    .... (1)

[tex]x+y<-4[/tex]                  .... (2)

From inequality (1) and (2) it is clear that (x+y) is greater than 3 adn 3 is not less than -4. So, the given system of inequality has no feasible reason or solution.

The related equation of first inequality is

[tex]x+y=3[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=3\Rightarrow y=3[/tex]

The y-intercept is 3.

Put y=0 to find the x-intercept.

[tex]x+0=3\Rightarrow x=3[/tex]

The x-intercept is 3.

The related equation of second inequality is

[tex]x+y=-4[/tex]

Put x=0 to find the y-intercept.

[tex]0+y=-4\Rightarrow y=-4[/tex]

The y-intercept is -4.

Put y=0 to find the x-intercept.

[tex]x+0=-4\Rightarrow x=-4[/tex]

The x-intercept is -4.

The related lines are dotted line because the sign of inequalities are > and <.

Check each inequality be (0,0).

[tex]0+0>3[/tex]

[tex]0>3[/tex]

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

[tex]0+0<-4[/tex]  

[tex]0<-4[/tex]  

This statement is false. So the shaded region of first inequality is opposite sides of the origin.

The graph for the following system of inequalities is attached below.

Answer:

This is the correct graph on Odyssey :)

What is the axis of symmetry for f(x) = 2x2 + 4x + 2?
Choices
x = −3

x = −1

x = 1

x = 3

Answers

Answer:

-1

Step-by-step explanation:

to find the axis of symmetry, the formula is X= -b/ 2a

a is the 2 from 2x2

and b is 4 from 4x

then plug them to the formula

-b= -4 because of the negative in -b

and 2a is 2(2)

-4/4 is -1

so x= -1

hope im right

hope it helps

Tell how to read the statement f(4)=16. Then interpret what it means in terms of input and output values.

Answers

Final answer:

An equation f(4)=16 means that when the input value is 4, the output value is 16.

Explanation:

An equation in the form f(4)=16 means that when the input value of the function f is 4, the output value is 16.

For example, if f represents the function that multiplies an input by 4, then f(4)=16 because 4 multiplied by 4 equals 16.

In terms of input and output values, f(4)=16 means that when the input value is 4, the function will return an output value of 16.

suppose that 17 inches of wire cost $0.85 at the same rate how many inches of wire can be bought for $0.55​

Answers

Answer:

11 inches

Step-by-step explanation:

17/0.85 * 0.55

20 * 0.55

11.

One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c.

Answers

Answer:

1. The other root is [tex]-2[/tex]

2. c=-106

Step-by-step explanation:

The given equation is [tex]10x^2-33x+c=0[/tex].

If [tex]5.3[/tex] is a solution to the given quadratic equation, then [tex]x=5.3[/tex] must satisfy this equation.

[tex]10(5.3)^2-33(5.3)+c=0[/tex]

[tex]280.9-174.9+c=0[/tex]

[tex]106+c=0[/tex]

[tex]c=0-106=-106[/tex]

We now substitute [tex]c=-106[/tex] into the given equation to obtain;

[tex]10x^2-33x-106=0[/tex].

Comparing to the general equation;

[tex]ax^2+bx+c=0[/tex], we have a=10, b=-33 and c=-106.

Recall the quadratic formula;

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

We now use the quadratic formula to obtain;

[tex]x=\frac{--33\pm \sqrt{(-33)^2-4(10)(-106)} }{2(10)}[/tex]

This implies that;

[tex]x=\frac{33\pm \sqrt{5329} }{20}[/tex]

[tex]x=\frac{33\pm73}{20}[/tex]

[tex]x=\frac{33-73}{20}[/tex] or [tex]x=\frac{33+73}{20}[/tex]

[tex]x=\frac{-40}{20}[/tex] or [tex]x=\frac{106}{20}[/tex]

[tex]x=-2[/tex] or [tex]x=5.3[/tex]

Hence the other root is [tex]-2[/tex]

riddle time I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I? if hard text me and i will give you the answer

Answers

Answer:

Is it a map? To me that makes the most logical sense.

Answer:

A map

Step-by-step explanation:

A map has cities, mountains, and water. It doesn't show houses, trees, or fish because it doesn't show specific things.

Which of the following rules is true for all values in the input-output table below?

A x + 1 = y


B x + 2 = y


C 2x = y


D 3x − 2 = y

Answers

The answer is B.
If you multiply x by 2 then you should get y.

Answer:

The answer is b

thank you

The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.

A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true?

A. An association cannot be determine because the value 0.55 is similar to the value 0.45
B. There is an association because the value 0.15 is not similar to the value 0.55
C. There is an association because the sum of each column is 1.0.
D. An association cannot ve determined because the sum of the rows going across is not 1.0.

Answers

Answer:

B. There is an association because the value 0.15 is not similar to the value 0.55

Step-by-step explanation:

Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

Answer:There is an association because the value 0.15 is not similar to the value 0.55.

Step-by-step explanation:

Find the area thanks

Answers

16 x 14 = 224

[tex]answer = {224cm}^{2} [/tex]

Javier’s Bakery sells donuts in packages of 3 and cookies in packages of 5 today the backers sold the same number of donuts and cookies . What is the smallest number of donuts that the bakery could have sold?please help me

Answers

The answer is A.) 5 because it’s the smaller number

Other Questions
Mass is a measure of the amount of matter in a substance. Weight, on the other hand, is a form of gravitational attraction, which is dependent upon mass and distance. Which of the following actions will cause the gravitational attraction between the Earth and an object to increase?A. increasing the mass of the object B. decreasing the mass of the Earth C. increasing the distance between the Earth and the object D. decreasing the distance between the object and the Sun Solve: 3x(x + 4) + 3(x + 4) = 0 A) 0 and -4 B) -1 and 4 C) -1 and -4 Eliminate D) 1 and 4 factor please help 30z^2-53z+12 One of the main transportation challenges for people living in extremely cold climates is __________. A. railway tracks that constantly crack and break due to ice B. waterways that are frozen over half the year C. the high cost of travel during the winter months D. the inability to use anything except dogsleds in the winter months There are other Psalms in the Old Testament outside the Book of Psalms.true or false The expression toward a therapist of feelings linked with earlier relationships is known as a. transference. b. resistance. c. meta-analysis. d. the therapeutic alliance. e. fixation. Lines on a map that connects points of equal or constant values are can someone plllllllllease help me to fiind topic on US History Topic must be between the years of 1600-1865 Topic must not be a simple biography or summary of an event Topic must beanalytical Topic must be about US history Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket.If the mass of the eyeball is 7.7 g, what is the effective spring constant of the musculature attached to the eyeball? Describe the ways in which the institution of slavery was distinctive to enslaved woman David sold 6 apple trees. He sold 5 of the apple trees to max. What fraction of the apple trees did david sell to max In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.115 T magnetic field.a.What electric field strength, in volts per mater, is needed to select a speed of 3.7 x 10^6 m/s?b.What is the voltage, in kilovolts, between the plates if they are separeted by 0.75 cm? A monarch is a ruler who had absolute control over people without having to confer with others Pascal wanted the area of the floor to be 54 square feet and the width still be 2/3 the length.What would the dimensions of the floor be? PLZ HELP ME QUICKLY A member of which group would be likely join an anti-war group during World War I? If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n 8 n > 8 n 8 Which of these functions would be most immediately affected by a reduction in water up take my roots which of these functions would be most immediately affected by a reduction in water uptake by roots? Disease resistance Seed dispersalSunlight AbsorptionPhotosynthesis What pronoun can replace the scientist A 5.5-foot-tall woman walks at 4 ft/s toward a street light that is 27.5 ft above the ground. what is the rate of change of the length of her shadow when she is 16 ft from the street light? at what rate is the tip of her shadow moving? rewrite the following sentence to make it true.Geologists subdivide periods into eras Steam Workshop Downloader