Which of these statements is true? Sin 18° = cos 72°, sin 55° = cos 55°, sing 72° = cos 18°c both a and c

Answers

Answer 1

Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°


Related Questions

Need help fast!!

What is value of x?
Enter your answer in the box.

Answers

Answer:

x = 27

Step-by-step explanation:

Using ratio:

[tex] \frac{10}{14} = \frac{x + 8}{2x - 5 } \\ 10(2x - 5) = 14(x + 8) \\ 20x - 50 = 14x + 112 \\ 20x - 14x = 112 + 50 \\ 6x = 162 \\ \frac{6x}{6} = \frac{162}{6} = > x = 27.[/tex]

Can someone help me please

Answers

Answer:

13.7

Step-by-step explanation:

15^2-6^2=189

The square root of 189 is 13.74 blah blah blah

Answer:

13.7

Step-by-step explanation:

a²+b²=c²

a²+6²=15²

a²+36=225

a²=189

a≈13.7

MATH CLASS TIME! Ask me ANY math questions in the comments and I will answer. Spam, hate, and cussing gets flagged.

Answers

Answer:

Step-by-step explanation:

chang is 6 inches taller then nancy.

use n for nancys height.

write an expression for changs height.

Four hundred raffle tickets were sold for $4 each. The one first prize winner will receive $300, and two people will each receive second prizes of $200. There will be three $100 winners. What will be the expected value of the raffle?

Answers

Answer:

The expected value of the raffle will be $1000 and the money obtained from selling tickets will be(4x400=$1600).

Step-by-step explanation:

First prize: $300

Second prize: 200x2=$400

3x100=$300

300+400+300

=$1000

Plz mark as brainliest

The expected value of the raffle will be $1000 and the money obtained from selling tickets would be equal to $1600.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

400 raffle tickets were sold for $4 each.

The one first prize winner will receive $300, and two people will each receive a second prize of $200.

There will be three $100 winners.

First prize = $300

Second prize = 200 x 2

=$400

So, the expected gross​ winnings:

3x100=$300

300+400+300

=$1000

Learn more about linear equations;

https://brainly.com/question/27056029


Assume the data below is exponential Determine the growth/decay factor. Estimate your answer to 3 places after the decimal.
15
16
У
90
74
Х

Answers

9514 1404 393

Answer:

  37/45 ≈ 0.822

Step-by-step explanation:

The formula for an exponential relation is ...

  y = a·b^x

This question is asking for the value of b. It can be found by substituting the given values of x and y, and taking the ratio of the resulting equations.

  90 = a·b^15

  74 = a·b^16

Dividing the second equation by the first, we have ...

  74/90 = (a·b^16)/(a·b^15)

  74/90 = b

The decay factor is 74/90 = 37/45 ≈ 0.822

Answer:

37/45=0.822 this is my answer

(5y+1)²-4(y-1)² how to solve it​

Answers

Answer:

[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).

[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]

2) Use multiplication Distributive Property: (xy)^a = x^a y^a.

[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]

3) Simplify 2² to 4.

[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]

4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).

[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]

Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².

After sales tax, an $81 cell phone costs $84.24. What is the sales tax percentage?​

Answers

Answer:

4%

Step-by-step explanation:

PLEASE HELP!!!!
IF DON'T KNOW PLEASE DON"T ANSWER!!!!

Answers

Answer:

dawdawdwawdawdda

Step-by-step explanation:

daqwdwadwadwawdadw

What is 15^1/3 in radical form?

Answers

Answer:

the answer is c 3^15

Step-by-step explanation:

Answer:

3√15

Step-by-step explanation:

Edge 2021

A construction crew needs to remove 5 tons of river rock during the construction of new office buildings the way of the rocks is pounds.How much pounds are there

Answers

your answer is 10,000 pounds

Help plzzzzz! I am veryyyg confused! lol

Answers

Answer:

98pie

Step-by-step explanation:

area of semicircle with radius 14units

=1/2(pie)(14)(14)

=98pie

The person above me is correct

On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?

Answers

Answer:

`5 centemeters.

Step-by-step explanation:

Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 58 inches, and the MAD (mean absolute deviation) is 3 inches. Select all the true statements. The mean height of all seventh graders is likely be between 52 and 64 inches. Another random sample of 20 students will always have a mean of 58 inches. A sample of 20 female students would be more likely to get an accurate estimate of the mean height of the population than a sample of a mix of 20 male and female students. m A sample of 100 seventh graders would be more likely to get an accurate estimate of the mean height of the population than a sample of 20 seventh graders. a Elena's sample proves that half of all seventh graders are taller than 58 inches.​

Answers

Answer:

A.  The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

E.  Elena would be more likely to get an accurate estimate of the mean height of the population  by sampling 40 people instead of sampling 20 people.

Step-by-step explanation:

The mean absolute deviation shows the variation in a given data set. It can be determined by calculating the mean of the absolute value of the initial mean and each data set. It describes how spread out the data set are.

With respect to Elena's sampling, the mean absolute deviation is 2. This shows that there is little variation among the data set.

The estimate becomes more accurate if she increase the sample size. Thus options A, B and E are appropriate.

For the equation: 2x + 7y + 6x - 3y + 4, choose the algebraic expression by combining like terms:
a. 16
b. 8x + 4y + 4
c. 12x + 4
d. 8x + 10y +4

Answers

Answer:

Combine like terms

Step-by-step explanation:

+ 8x

+4y

+4

8x + 4y + 4

Answer:

B

Step-by-step explanation:

2x+6x=8x

7y-3y=4y

Add the new terms into the equation and you get 8x+4y+4

Select the correct answer.
What is the domain of the function shown on the graph?

Answers

Answer:

B. negative infinity < x < positive infinity

Step-by-step explanation:

When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for all exponential functions, including this one.

lmk if im incorrect about anything, hope this helps :)

Ecuacion de la recta que pasa por el punto donde se cortan las rectas X+4Y=0 y X-3Y-7=0 y que tiene como pendiente -6

Answers

Answer:

La ecuación de la recta es [tex]y = -6\cdot x +23[/tex].

Step-by-step explanation:

Para construir la ecuación de la recta podemos utilizar un punto contenido en la recta y su pendiente. En primer punto, hallamos el punto con la resolución del siguiente sistema de ecuaciones lineales:

[tex]x+4\cdot y = 0[/tex] (1)

[tex]x-3\cdot y = 7[/tex] (2)

La solución del sistema de ecuaciones es [tex](x,y) = (4,-1)[/tex].

Por Geometría Analítica, sabemos que la Ecuación de la Recta en su forma explícita es:

[tex]y = m\cdot x + b[/tex] (3)

Donde:

[tex]x[/tex] - Variable independiente.

[tex]y[/tex] - Variable dependiente.

[tex]m[/tex] - Pendiente.

[tex]b[/tex] - Intercepto.

Si sabemos que [tex](x,y) = (4,-1)[/tex] y [tex]m = -6[/tex], entonces el intercepto de la recta es:

[tex]b = y-m\cdot x[/tex]

[tex]b = 23[/tex]

Ahora, la ecuación de la recta es [tex]y = -6\cdot x +23[/tex].

The figures are similar. Find the area of the smaller rectangle. GIVING BRAINLY!!

Answers

Answer:

4 in^2

Step-by-step explanation:

The rate is 1:5

Helppppp I don’t understand!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

∠RPQ = 53°

Step-by-step explanation:

∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,

∠SPR + ∠RPQ = 90°

We know that ∠SPR = 37°, so

37° + ∠RPQ = 90°

∠RPQ = 90° - 37°

∠RPQ = 53°

» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m

Answers

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Find the base of a rectangle with a height of 5.3 meters and an area of 2.12 square
meters

Answers

Answer:

i think 7.42 i think

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 33.7 miles to km.

Answers

Answer:

The answer is 54.23489

Step-by-step explanation:

Hope this helps

please help as soon as possible also please don’t take advantage of points


a:30
b:40
c:45
d:50
e:60

Answers

Answer:

B

Step-by-step explanation:

if you multiply m by 2 you get 260we now want to subtract this from 360 to get 100 then we divide that by 2 to get angle n∠BEF= 50°.

We know angle k∠EBF= 90° so we now end up with adding angle ∠BEF with ∠EBF  to get 140 to get angle x we subtract 140 from 180 to get 40. x=40°. so B is the correct answer

HELP i cant really understand how to work it out... its algebra btw.

Answers

Answer:

A because you can go into the numbers evenly

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is important to note that 40/8 = 5.

A real number is one that can be found on the number line, and 5 can be.

A rational number can be made by dividing two integers (40 by 8 in this case).

5 is a whole number since it does not have a decimal/fractional part

an integer is a whole number which is positive/negative (5 is positive in this case)

Ramkin is going to flip a fair coin 100 times.
What is the best prediction for the number of times that the coin will land tails up?

Answers

Answer:

50 times

Step-by-step explanation:

You are going to flip a coin 100 times. There are 2 sides. So, what you would do is divide 100 by two because there are two sides. There is a 50% chance that the coin will land on heads, and a 50% chance it will land on tails.

Please let me know if you have any more questions. Hope this helps!

help please, I really need it to move on.

Answers

Answer:

D

Step-by-step explanation:

I believe it's d. it looks closest to the values provided.

Can you guys pls pls help me

Answers

Answer:

21:  37

They are the opposite side exterior angles

22: 40

23:  126

They are the opposite side exterior angles

24: 1

25: 12

90 - 48 = 42

42 = 3x + 6

36 = 3x

12 = x

26:   41

180 - 139 = x

41 = x

27:   140

180 - 40 = 140

28: 68

90 - 22 = 68

29: False

Complementary angles add up to 90 degrees

Hope this helps!

Find the radius of a circle that has a circumference of 16
The formula for the circumference of a circle is C = 2.
where r is the radius and C is the circumference. The
TE
equation solved for r is r =
27
O r=4
O r= 8
O r= 12
O r= 16

Answers

Answer:

The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

Step-by-step explanation:  The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

The radius of a circle that has the circumstance of 16: r= 8

On weekends Mike earns $15 per hour, or 1.5 times his regular wages. Which of the equations below could be used to find Mike's regular hourly wage (w)?
A $15w = 1.5
B 1.5w = $15
C. 1.5 / w = $15
D. w/1.5 = $15
E. $15 - w =1.5

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

he earns 15$  or as the question states

1.5xw=15 or 1.5w=15

Answer:

b

Step-by-step explanation:

1.5 multiplied by the w = 15 (his current wage)

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2)A(3,−2)A, left parenthesis, 3, comma, minus, 2, right parenthesis, B(6, -2)B(6,−2)B, left parenthesis, 6, comma, minus, 2, right parenthesis, C(6, 5)C(6,5)C, left parenthesis, 6, comma, 5, right parenthesis, and D(3, 5)D(3,5)D, left parenthesis, 3, comma, 5, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?

Answers

Answer: 21 units

Step-by-step explanation:

find the value of x please :)

Answers

Answer:

48

Step-by-step explanation:

180-(90+42)

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