In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?

In Right Triangle ABC, A Is A Right Angle And SinC=15/17. What Is The Ratio Cos C?

Answers

Answer 1

Answer:

8/17

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17


Related Questions

any suggestions on how to solve this? thanks ​

Answers

Answer: x = 4

Step-by-step explanation:

You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

We can see here that doing sine will give us the length of the opposite

[tex]sin19.47 = \frac{x}{12}[/tex]. Do sine of 19.47, then multiply by 12. I got 4

work out the surface area of a sphere please help if u get it correct i’ll give h brainlest

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?

Answers

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft

Question 10
The price of one share of a stock fell 4 dollars each day for 8
days. How much value did one share of the stock lose after 8
days?

Answers

Answer

32 dollars

Explanation

4*8

I will Rate you 5 stars and give you 30 points
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
y=-x+9
y=-x-3
y=x+9
y=x-3

Answers

Answer:

y=x+9

Step-by-step explanation:

How do I find value of X

Answers

Answer:

147°

Step-by-step explanation:

106°+139°+126°+141°+112°+129°+x =900°

753°+x = 900°

x = 900°-753°

x=  147° (sum of the interior angles of a heptagon=900°)

The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?

Answers

Answer:

80 Degrees celsius

Step-by-step explanation:

176 - 32 = 144

144 * 100/180 = 80

please see the attached image and help me complete this question , please , its an emergency

Answers

Answer:

46

Step-by-step explanation:

32+14 = 46

46 ppl study spanish

Answer:

A = the Venn diagram and the middle section is 41 because :

14 + 25 = 39

80 - 39 = 41

B = 25 ( because of diagram )

C = the number of kids who studied both and only studied it which is:

41 + 14 = 55 (so C = 55).

Please help?

1: The x-intercepts of a quadratic function are -3 and 5. What is the equation of its axis of symmetry?

#2: The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Equation of axis of symmetry is x = 1 → d

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

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

the coordinates of point G ar (4,-2) and the gradient of the straight line GH is -2.The coordinates of point H could be
A.(-1,6)
B.(-1,8)
C.(-1,10)
D.(-1,12)​

Answers

Step-by-step explanation:

Given that the formula of gradient is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you have to try for every coordinates :

Option A,

[tex] \frac{6-(-2)}{-1-4} = - \frac{8}{5} (incorrect) [/tex]

Option B,

[tex] \frac{8-(-2)}{-1-4} = -2 (correct) [/tex]

Option C,

[tex] \frac{10-(-2)}{-1-4} = - \frac{12}{5} (incorrect) [/tex]

Option D,

[tex] \frac{12-(-2)}{-1-4} = - \frac{14}{5} (incorrect) [/tex]

Ms. Jenks bought 1.75 pounds of ham and 0.8 pound of turkey from the deli. How many more pounds of ham than turkey did she buy?

Answers

When finding “how many more”, subtract the smaller number from the larger.
the answer is 0.95 because 1.75-0.8 is 1.75.

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

which two of the following is continuous data?

Answers

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

What is the equation of the translated function, g(x), if
f(x) = x??

Answers

Answer:

There is not enough information to solve. We need some more information to solve this question. The best we can do is

g(x) = g(f(x))

Who can solve for Y ? 2y < -4

Answers

Answer:

y < -2

Step-by-step explanation:

2y < -4

Divide both sides by 2.

y < -2

Answer:

y <-2. :::::::::::::::::::::::

Step-by-step explanation:

2y< -4 ==> y<-2

X^2-11=53 in the simplest form

Answers

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Answers

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

 

f(x)= square root x-3

Answers

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

i am thinking of a fraction. The sum of the numerator and denominator is 19. When I add
8 to the denominator, the fraction becomes 1/2 What is the fraction I am thinking of?​

Answers

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Let the fraction be [tex]\frac{x}{y}[/tex].

That would mean:

(1)    x+y = 19

&

(2)    y+8 = 2x or 2x = y+8

In order to use substitution, we multiply equation by 2:

(3)   2x+2y = 38

Then we substitute equation (2) into (3):

y+8 + 2y = 38

3y + 8 = 38

3y = 30

y = 10

Substitute this into equation (1)

x + 10 = 19

x = 9

Therefore the fraction would be:

[tex]\frac{9}{10}[/tex]

Answer:

9/10

Step-by-step explanation:

let the fraction be x/y.

x+y=19

x/y+8=1/2

solve simultaneously

y=2x-8

y=19-x

2x-8=19-x

3x=27

x=9

y=10

PLEASE HELP
CDEF is a kite and mFCE =39. Find m1

A.102

B.39

C.78

Answers

Answer: 39

Step-by-step explanation:

Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.

Then:

m1 = 39

if one song is $50 and i have $17000 how many songs can i buy​

Answers

Answer:

340 songs, 17000/50 = 340 lol

Answer:

340

Step-by-step explanation:

17000÷50=340.

hope this helps

Where are the stem cells that replace old blood cells located in adults?
A. In the bones
B. In the digestive tract
C. In the brain
D. In the layers of skin

Answers

Answer:

A

Step-by-step explanation:

It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.

Plss brainliest

Answer:

In the Bones

Step-by-step explanation:

apex checked by myself

Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees.

Which statement must be true about the diagram?
1. Point K is a midpoint of Line segment J L.
2. mAngleJKN = One-halfmAngleJKM
3. Ray KM is an angle bisector of AngleNKL.
4. JK = One-halfKL

Answers

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

Answer:

Ray KM is an angle bisector of AngleNKL

Step-by-step explanation:

brainlist???????????

Solve x4 − 7x2 − 18 = 0

Answers

Thw answer is X = 3 or -3

Answer:

the answer is ​

x=±3,±√​2

​​ ı

Step-by-step explanation:

(x​^2−9)(x​2+2)=0

Given a line segment containing the points A,B, & C, in order, if AB is 4 and BC is 16, then the length of AC would be ____. Select one: a. - 12 b. 12 c. 8 d. 20

Answers

The answer is d
All you have to do is add AB and BC together

The length of AC will be equal to 20 units for the given line.

What is the distance?

Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.

The length of the line AC will be calculated as:-

AC  =  AB  +  BC

Ac   =  4  +  16

AC  =  20 units.

Therefore the length of AC will be equal to 20 units for the given line.

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Corresponding angles form when a transversal intersects with two parallel lines.
True
False



Please help

Answers

Answer: True

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.

7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?

Answer this Q. so that i will mark u as tge brainliest!​

Answers

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

3х - Зу = 0
4 х - у = 21 what's the solution???​

Answers

Answer:

x = 7

y = 7

Step-by-step explanation:

So from this we can pull that x, y = pos

pos so 3(x) = 21

x= 7

Same

7, 7

x = 7, y = 7

Hope this helps!

So 59 rounded to the nearest ten is​

Answers

Answer:

60

This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.

Answer:

60.. hope it helps

Step-by-step explanation:

Check the number in the ones place

It's is 9, which is greater than 5 so we will add 1, to the tens place,

It becomes 60

Another method..

The closest tens multiples to the given number are 50 and 60.

Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60

What is the value of 3-(-2)

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

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