Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

Answers

Answer 1

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse


Related Questions

(Find common denominator first.)
3/2 + b=7/4

Answers

Answer:

b = 1/4

Step-by-step explanation:

Take the given fractions : 3/2 and 7/4 and find a common denominator.

We will use 4 as a common denominator.

In order for the denominator of 3/2 to get to 4, you need to multiply by 2.

3 × 2 = 6        2 × 2 = 4

New fraction: 6/4

Now we have the equation 6/4 + b = 7/4

7/4 - 6/4 = 1/4

Determine o valor do termo representado pela incógnita nas proporções a seguir.

a) x6= 32

b) 15= 4y

c) 2x+39= 57

Me ajudem pelo amor de deus

Answers

Answer:

a. x6= 32

x = 32/6

x = 5.33

b. 15 = 4y

4y = 15

y = 15/4

y = 3.75

c. 2x+39= 57

2x = 57 - 39

x = (57 - 39)/2

x = 9

please help with this question!

Answers

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a ) Two matrices cannot be multiplied.

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b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

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The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain

Answers

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

What is 70% of 900
Pls answer quickly

Answers

Answer:

630

Step-by-step explanation:

10% of 900 is 90 (900÷10)

20% of 900 is 180 (90×2)     -     basically the 10% times 2

50% of 900 is 450 (900÷2)

450+180=630         -          the sum of the 20% and 50%

Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

Answers

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Actually Welcome to the Concept of the Straight lines.

Since the slope of the line, m = -1/2

and we know that, line equation is, y=mx+c

so the answer is, option 1.)

1.) y-4 = -1/2 (x+6)

eduardo works as an accountant for a consulting firm. he earns an annual salary of 68,090 and an annual bonus based of the firms preformance. this year eduardo will earn a bonus of 3% of his annual salary , which is 2,042.70. what is eduardos annual gross pay

Answers

Answer:

70.132,70

Step-by-step explanation:

68.090,00

+ 2.042,70

_________

70.132,70

Which equation would you use to find the value of x?

Answers

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14


The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?

Answers

The constant of proportionality is 5.5

Step-by-step explanation:

y = kx

k = constant of proportionality

y = 5.5x

Answer:

d

Step-by-step explanation:

Factor the algebraic equation
36a+20

Answers

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach the coach buys. The situation is represented by the function rule a=16b.

Complete the following table of values.

Answers

0-16-32-48-64 hope this answers ur question

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.

Answers

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

whats equivelent to 9a + 12

Answers

Answer:

Multiply both terms of the numbers

hense you would do: 2(9a + 12) = 18a + 24

It doesn't have to be 2 however. If can be any number you want it to be

Step-by-step explanation:

Answer:

12+9a is equivelent to 9a+12 :-)

Step-by-step explanation:

Find the height of the tree in the diagram shown.

Answers

Can you please show a diagram thanks

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:

Answers

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

can Someone help me ​

Answers

Answer:

B

Step-by-step explanation:

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

Answer:

$0.69

Step-by-step explanation:

Add them all up.

Answer:

$0.64

Step-by-step explanation:

hope this helped :-)

In a survey of 1,500 people who owned a certain type of​ car, 300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

20%

Step-by-step explanation:

Step one:

total number of people surveyed= 1500

we are told that 300 people would buy that car again,

this implies that they like the car and are satisfied with it

Step two:

the percent of people satisfied can be computed as

=300/1500*100

=3/15*100

=1/5*100

=0.2*100

=20%

The people surveyed were satisfied with the​ car are 20%

3/13% of a quantity is equal to what fraction of the​ quantity?

Answers

Answer: 3/1300

Sorry I’m late !!

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?

Answers

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing

Answers

Answer:

linear decreasing

Step-by-step explanation:

cause it is a straight line and it's going down so it's decreasing.

Answer:

linear decreasing

Step-by-step explanation:

the answer that will appear before mine is right

Help me with this problem

Answers

Answer:

D. SSS

Step-by-step explanation:

Both sides are shown equal and it shares a side so that side is equal. Side Side Side.

Answer:

SSS

Step-by-step explanation:

Triangles are congruent by SSS postulate of congruence.

Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.

Answers

y=9+9 because when you take that factor off you add 8 + 1

I need help ill giv3 brainlyness​

Answers

The answer is d hope this helps☺️

Answer:

i think the answer if (-9,-3)

Step-by-step explanation:

Tell me if i got it right so i can see where i made a mistake IF i got it wrong

Solve x-4<3 graph the solution

Answers

Answer:

x<7

Step-by-step explanation:

move coefficeint and put it on inequality graph

Answer:

it should have an open circle on 7 and an arrow going to the left

Step-by-step explanation:

hope this helps

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

travels only on Saturdays and Sundays and has miles this month. Travels every weekday and has miles this month. If they each travel about the same number of miles each​ day, who travels more miles per day for this​ month?

Answers

Complete question :

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month

Answer:

WILLIAMS ; 50 miles per day

Step-by-step explanation:

Given that :

Williams travel times = Saturdays and Sundays

Total distance traveled = 400 miles

Jason travel times = Every weekday

Total distance traveled = 500 miles

Number of weeks in a month = 4

Hence, saturdays and Sundays = 4 * 2 = 8 days

Weekdays = 5 * 4 = 20 days

Miles traveled per day:

Williams :

Total distance / number of days

= 400 miles / 8 days

= 50 miles per day

Jason :

Total distance / number of days

= 500 miles / 20 days

= 25 miles per day

50 > 25

Hence, Williams travel more miles per day than Jason

All Common multiples between 2 and 9

Answers

Answer:

18, 36, 54, 72, 90...

Step-by-step explanation:

What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase

Answers

Answer:

D

Step-by-step explanation:

24        X

----  =   ----          than cross multiply and solve for X

30       100

Answer:

I am not sure I this one but The answer is efither B or D

Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.

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