in a right triangle with sides a and b and c where c is the hypotneuse, what is the cosine of angle A?

Answers

Answer 1

In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A

Cosine of angle A = b/c

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Related Questions

how to get the Y intercept when you don't have a 0 X coordinate?​

Answers

Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

A line passes through 3,1 and 0,-3 whats the equation

Answers

Answer:

y=(this is a fraction) 4/3 times x-3

Step-by-step explanation:

The ratio of the sides of a triangle is 3:5:6. If the perimeter of the triangle is 154 feet, what are the side lengths?

Answers

The side length of the triangle are

33 feet55 feet66 feet

How to find the side length of the triangle

A triangle with given ratio of sides as 3 : 5 : 6 and a perimeter of 154 feet is calculated from the formula of perimeter which is

= a + b + c

where

a, b, and c are the dimensions of the side length of the triangle:

Using the values given in the problem we have

let the ratio be a multiple of x such that

154 = 3x + 5x + 6x

154 = 14x

x = 11

a = 3 * 11 = 33 feet

b = 5 * 11 = 55 feet

c = 6 * 11= 66 feet

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f(x) and g(x) below, find the value of (fog)(-8).
f(x) = 3x²-3x - 8
g(x) = -x - 7

Answers

Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.

Function: A Definition

A function is a relationship between a collection of sources or one product for each input. Simply described, a function is a group of equations linked to a single, distinct output. A declaration, rule, or law that specifies the relationship between two variables is known as a function in mathematics (the dependent variable). When a rules of this kind is employed, there is just one output. by photographer Alex Federspiel. This sentence provides a y=x2 example. Any input for x has only one output for y. Since x is indeed the input value, y is, by definition, a function of x.

Here,

Given :

f(x) = 3x²-3x - 8

g(x) = -x - 7

To find : fog)(-8)= ?

Thus,

We find

=> F(g(x)) => 3g(x)² -3g(x) - 8

=> f(-x-7) =3⋅(-x-7)²-3⋅(-x-7)-8

At x =-8

=> 3(-8-7)² - 3(-8-7)-8

=> 3(225)-3(15) -8

=> 675 - 45 -8

=> 622

Therefore , the solution of the given problem of function comes out to be fog(-8)= 622.

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please help with math question!!

Answers

Answer:

b. cubic

Step-by-step explanation:

hope this helps :)

(x-2)(x-1)= in standard form

Answers

Answer:

[tex]x^{2} -3x+2[/tex]

Step-by-step explanation:

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.


What are the slope and y-intercept of the line that models this situation? I

Answers

The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212

The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.

To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.

Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0

Hence we get the y-intercept as 212° F.

Now, the formula for slope

= change in y/ change in x

here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.

Taking the first 2 rows gives us

Slope = -0.9/500

= -0.0018

Hence we choose option A) Slope = -0.0018, y-intercept = 212

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Complete Question

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?

A. Slope= -0.0018, y-intercept = 212

B. Slope= 0.0018, y-intercept =-212

C. Slope =212, y- intercept= 0.0018

D. Slope=-212, y-intercept = 0.0018

What is another name for angle 1?




∠JNL

∠N

∠MNK

∠NLJ

Answers

Answer: JNL

Step-by-step explanation: We can give angle 1 another name by using 3 letters which include the letter of the vertex point in the middle, and two other letters of the two rays that meet at the vertex point.

1. Circle which of the following ways to prove that a quadrilateral is a parallelogram. (5 pts.)
I. quadrilateral with both pairs of opposite sides congruent
II. quadrilateral with both pairs of opposite angles congruent
ILI. quadrilateral with one pair of opposite sides both congruent and parallel
A. I only
B. II only
C. I, II and III
D. III only
E. I and II

Answers

quadrilateral with both pairs of opposite sides congruent

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

If both pairs of opposite sides of a quadrilateral are congruent , then the quadrilateral is a parallelogram.

So, the option  I only is correct

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How do you graph the polar curve r=5cosθ? Drag an equation, variable, or phrase into each box to correctly complete the statements.

Answers

Answer:

See graph below

Step-by-step explanation:

The equation r=5cosθ basically means the graph is going to be a circle with a radius of 5/2=2.5 to the right on the horizontal axis since it's cosine.

To graph the function r=5cosθ, we graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ and a radius of 2.5

How to graph the function?

The function is given as:

r=5cosθ

The above means that, we want to graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ.

The radius r is calculated using;

r = 5/2

r = 2.5

Hence, the graph of r=5cosθ has a radius of 2.5

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Find the measure of the missing angles.

Answers

Answer:

g = 92

K = 91

h = 88

m = 89

Step-by-step explanation:

g = 92; because of vertical angle theorem

k = 91; because of vertical angle theorem

h = 88; because a line is 180 degrees in total so just subtract 180 - 92

m = 89; same thing as h but subtract 180 - 91

Answer:

Step-by-step explanation:

h=180-92=88

g=180-h g=180-88=92 or straight up 92 because the angle across is also 92

m=180-91=89

k=180-k m=180-89=91 or straight up the 91 because the angle across is 91

Find y for 0.5y-2 2/5=1/2y+2.4

Answers

To solve this equation for y, you can follow these steps:

First, get all the terms with y on one side of the equation and all the other terms on the other side. To do this, you can add 2/5 to both sides to get rid of the 2/5 on the left side:

0.5y - 2 2/5 + 2/5 = 1/2y + 2.4 + 2/5

Simplify the left side of the equation:

0.5y - 2 + 2/5 = 1/2y + 2.4 + 2/5

0.5y - 2 + 2/5 + 2/5 = 1/2y + 2.4 + 2/5 + 2/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) - 2 = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 - 2 = 1/2y + 2.4 + 4/5

0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

(0.5y + 4/5) = (1/2y + 2.4) + 4/5

Simplify:

0.5y + 4/5 = 1/2y + 2.4 + 4/5

Combine like terms on each side:

0.5y = 1/2y + 2.4

Subtract 1/2y from both sides:

0.5y - 1/2y = 1/2y - 1/2y + 2.4

0 = 2.4

Solve for y:

0 = 2.4

This equation has no solution, so there is no value of y that satisfies the given equation.

Answer:

Step-by-step explanation:nosoulution

I need help to get the answer

Answers

The length BC of the right triangle is 18 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The length BC of the right triangle can be found as follows:

Therefore, using proportion because triangle ABC is similar to triangle BDC.

x / 36 = 9 / x

cross multiply

x × x = 36 × 9

x² = 324

square root both sides of the equation

x = √324

x = 18 units

Therefore,

BC = 18 units

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The size of each exterior angle in a regular polygon is 15°. Work out how many sides the polygon has.

Answers

Sum of exterior angles = 360. 360/15=24. Answer is 24 sides.

103M) solve on the interval 0 ≤ x < 2pi
sin ( 4x ) = √3 / 2

Answers

solving sin ( 4x ) = √3 / 2 , the value of x is 15°

What is trigonometry?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

For angle of 30° and 60°

sin 30° = 1/2

cos 60° = √3/2

tan60° = √3

for angle 60 °

sin60° = √3/2

cos 60° = 1/2

tan60° = 1/√3

since sin(4x) = √3/2

and sin 60° = √3/2

sin60° = sin(4x)

this means 60° = 4x

divide both sides 4

x = 60/4

x = 15°

therefore the value of x is 15°

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The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?

If needed, use the z-table to answer the question.

What is the value of the test statistic? (Round to 2 decimal places.)


What is the P-value of the test? (Enter 4 decimal places.)

Answers

Answer:

-1.58

0.0571

Got it right on edge:)

Answer:

-1.58

0.0571

Step-by-step explanation:

EDGE2022

Find the volume of a cone

Answers

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

Answer:

301.58  

Step-by-step explanation:

pls help ASAP what do I put in the box (question is in screenchot)

Answers

Answer:

where is the question????

Answer:

where

Step-by-step explanation:

please help! i've tried to solve it but not getting the right answer

Answers

Answer:

Sorry I don't know this one, I got 5.32

Step-by-step explanation:

how many 1/4 are in 6

Answers

Answer:

24

Step-by-step explanation:

To answer this you simply need to divide 6 by 1/4

or

6÷1/4

which is also equivalent to 6*4

this will get you 24

HELP ME HELP ME PLEASEEEE I NEED QUICK

Answers

Answer:

<ABC and <CB both add up to 90 degrees and fit in the angle <ABD so they could be 45 degrees, or one could be 20 degrees while the other is 70, they just have to add up to 90 degrees

Step-by-step explanation:

Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500.

Answers

The 8-year-old car could be worth approximately $3000.

The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.

Thus, The 8-year-old car could be worth approximately $3000.

(Refer to the image attached for the complete question and graph)

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Question 5
Describe the reflection that maps ST, with vertices S(-7, 1) and T(-7, 5), onto itself. Use decimals, if necessary.
reflection in the line y =______

Answers

The reflection that maps ST onto itself is a reflection in the line y = -7.

What is the line of symmetry?

Reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.

A reflection maps a geometric figure onto itself by "flipping" it across a line of symmetry. In this case, the reflection maps ST onto itself, so the line of symmetry must be a line that ST is reflected across.

To find this line, we can look at the two given vertices of ST, S(-7, 1) and T(-7, 5).

We can see that these points have the same x-coordinate (-7), which means that the line of symmetry must be a vertical line passing through the x-coordinate of -7.

Therefore, the reflection that maps ST onto itself is a reflection in the line y = -7.

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[tex](m-9)(m-3)[/tex]

Answers

Answer:

m^2-11m+27

Step-by-step explanation:

A function has a y-intercept of -6 and x-intercepts at (2,0) and (6,0). Which graph represents this function?

Answers

Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.

Step-by-step explanation:

Since the the graph is not given it can be identified by the graph passing through the three coordinate points given.

What are coordinates of a graph?

Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).

We have a function that has a y-intercept of -6 and x-intercepts at (2,0) and (6,0).

Since, the graph is not given it cannot be identified clearly what would be the possible graph. But the following points can be concluded -

The graph of the function will cut the y - axis at y = -6.The graph of the function cuts the x - axis at two points i.e. at x = 2 and at x = 6.

Any graph passing through the 3 points will be the required graph.

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Missy is saving to attend a week at summer camp. She needs $250.00 to register. Her parents will contribute $75.00. She needs to raise the rest of the money babysitting for $12.00 per hour. What is the minimum number of hours she must babysit in order to attend camp?

Answers

Answer:

At least 15 hours

Step-by-step explanation:

First, subtract the $75 that her parents will contribute:

250 - 75

= 175

So, from babysitting, she will have to raise $175

Divide this by 12 to find how many hours she has to babysit:

175/12

= 14.583

We have to round this up to a whole number, which will be 15.

So, Missy will have to babysit for a minimum of 15 hours

Students in a statistics class took their first test. The following are the scores they earned. Create a frequency distribution and histogram for the data using a lower class limit of 49.5 and a class width of 10. Describe the shape of the distribution Search Search Select an answer variable(s), the correct graph to make is a a) Since data were collected for? Select answer b) For this one the class width is given to be the following: class width Complete the frequency relative frequency table using the given class width. Round relative frequencies to 3 decimal places. Frequency Relative Frequency Classes 495 c) Which of the following is the correct histogram for the given data? Frey 495 595 695 795 Histogram for Test I Score 895 995 Q Search Search 5 Spring ZOO) Final El Pl E U M QUI PUUVITU 495 595 69.5 79.5 Histogram for Test / Score 89.5 99.5 Q a Frequency 49.5 595 695 795895995 Histogram for Test / Score Frequency 595 603 795 Histogram for Tere d) What shape is the histogram above? Select an ant Q Search Search LE

Answers

a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

What is histogram ?

A histogram is a collection of rectangles with bases and the gaps between class boundaries. All of the rectangles are contiguous, and each rectangle bar represents some kind of data. Rectangles have heights that are proportionate to the corresponding frequencies for both related and dissimilar classes.

a) Since data were collected for "score quantitative" variable(s), the correct graph to make is a histogram

b) For this one the class width is given to be the following: class with = 10 .  See the attachment for table

c)  See the attachment for the graph

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June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject.

Am I right?

Answers

Answer:

yh

Step-by-step explanation:

[(-7)+9]+(______)=9+[-7+4]

Fill in the blanks ​

Answers

Answer:

[(-7)+9]+(+4)=9+[-7+4]

Write and solve an equation to find what fraction of the student f voted for fruit juice or water

Answers

If [tex]\frac{1}{4}[/tex] of fruit punch is pineapple juice. About [tex]\frac{1}{6}[/tex] of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The fraction of pineapple juice in fruit punch is = [tex]\frac{1}{4}[/tex] ;

the fraction of orange juice in fruit punch is = [tex]\frac{1}{6}[/tex] ;

the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is

⇒ [tex]Frcation Of (Pinapple Juice +Orange Juice)[/tex]

substituting the values ,

we get the equation as ;

⇒ [tex]\frac{1}{4} +\frac{1}{6}[/tex]

taking LCM as 4 and 6 as 12 and solving further  ,

we get ;

⇒ [tex]\frac{3}{12} +\frac{2}{12}[/tex] ; = [tex]\frac{5}{12}[/tex] .

Therefore , the fraction of fruit  punch that is pineapple juice or orange juice is [tex]\frac{5}{12}[/tex] .

The given question is incomplete , the complete question is

About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .

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monica says since all squares are rectangles, all rectangles are squares is she correct explain q1 How did George Washington respond to the Whiskey Rebellion? He set up negotiations between the farmers and state governments. He gave into the rebels' demands to stop them from destroying buildings. He let the states manage the issue. He used the federal militia to put down the rebellion quickly. Summary of the whole book for Spy School please Read the excerpt from Levitt and Dubners Freakonomics.Feldman has also reached some of his own conclusions about honesty, based more on his experience than the data. He has come to believe that morale is a big factorthat an office is more honest when the employees like their boss and their work. He also believes that employees further up the corporate ladder cheat more than those down below. He got this idea after delivering for years to one company spread out over three floorsan executive floor on top and two lower floors with sales, service, and administrative employees. (Feldman wondered if perhaps the executives cheated out of an overdeveloped sense of entitlement. What he didnt consider is that perhaps cheating was how they got to be executives.)Which idea from the excerpt best addresses the counterclaim that people are only honest when there is a financial incentive?Employees who move further up the corporate ladder tend to be more dishonest.Employees tend to be more honest when they like their boss and their work.Executives might act dishonestly out of an overdeveloped sense of entitlement.Different employees of the same business demonstrate varying levels of honesty. which word best completes the sentence? unfortunately, his poor performance yesterday wasn't simply an ____. aspersion, abnegation, approbation, aberration, arrogation What are 3 types of revolving credit? express 832 in the form 4n where n is the integral What determines the carrying capacity in an ecosystem? What are other issues that would need to change in order for African Americans to have equal treatment in America, both under the law and in society? And What steps, or methods might be used to achieve these changes? Say in your own words no file please- Trini Inc. bases its manufacturing overhead budget on budgeted direct labor-hours. The direct labor budget indicates that 9,800 direct labor-hours will be required in May. The variable overhead rate is $3.10 per direct labor-hour. The company's budgeted fixed manufacturing overhead is $117,440 per month, which includes depreciation of $10,610. All other fixed manufacturing overhead costs represent current cash flows. The May cash disbursements for manufacturing overhead on the manufacturing overhead budget should be: If I dwell in possibility is a peom about two different forms of literature, then who are the visitors in the third stanza of the peom? #8 Please answer the question the survey . The division between rich and poor in America.a) unscrambles b)underscores c) averts d)intersects In a typical controlled experiment designed to test the effects of a new drug, _______ will be administered to the _______ group. Group of answer choices the drug and the placebo; control only the placebo; control the drug and the placebo; experimental only the placebo; experimental PLEASE HELP QUICK!!!During the cell cycle, which of the following happens as cells mature and begin to divide?A. The cytoplasm begins to divide.B. The nucleus begins to divide.C. Another cell is created.D. The cell loses all of its genetic information. Which best explains Gideon's final words to Teddy and what they mean: "Ah, Little Yellow Head, how you have grown! Soon you will be grown up with a farm of your own" Gideon is hopeful that Teddy will be different than the other whites and will see blacks as equals Gideon realizes Teddy is just as prejudiced now as the other whites toward blacks and sees him as just a servant Gideon knows that Teddy will soon be grown and become a "master" just like the other whites Gideon knows that Teddy is a man and will soon be married and will inherit the farm from his father and run it Grace was born in 1995. How old will she be in 2027 What can be a question forMexico, America, and Texas?Using only Why or How.Please no links! I give Brainliest (easy points)! 4. How does the sun affect the earth and the other planets in our solarsystem? 1. Find the median of the following set of data.55, 46, 48, 57, 46, 53, 50, 47