find the exact value of tan30⁰ × cos30⁰
give your answer in its simplest form​

Answers

Answer 1

ANSWER:

tan(30⁰)=√3/3

cos(30⁰)=√3/2

switch sides:

sin(x) /√3/2 =√3/3

multiply both sides by 3:

3·sin(x) /√3/2 =3·√3/3

simplify:

2√3 sin (x) =√3

divide both sides by 2√3:

2√3 sin (x) / 2√3 = √3 / 2√3

simplify:

sin (x)= 1/2


Related Questions

(WILL MARK BRAINLIST)

combine like terms:
3x + 5x

Answers

Answer:

8x

Step-by-step explanation:

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Write ratio in simplest form. 3 feet to 15 inches

Answers

Answer:

3:5, 3 to 5

Step-by-step explanation:

this is the simplest i believe

Answer:

1 to 5

Step-by-step explanation:

A chess club with 30 members is electing a new president. Yoko received 18 votes. What percentage of the club members voted for Yoko?

Answers

The answer to the question is 5.4

Earl runs 15 meters in 10 seconds. How many meters does Earl run per second?

Answers

Answer:

2.5 meters per second

Step-by-step explanation:

The perimeter of a square is 80 - 64y units.Which expression can be used to show the side length of one side of the square.

A. 16(5-4y).Each side measures 5-4y units
B. 16y(5-4y) Each side measures 5-4 y units
C. 4(20-16y)Each side measures 20-16y units
D 4y(20-16)Each side measures 20-16 units ​

Answers

Answer A. 16(5-4y).Each side measures 5-4y units

Step-by-step explanation:

Answer:

Option C is correct

4(20-16y) each side measures 20-16y units

Step-by-step explanation:

The distributive property says that:

The perimeter(P) of a square is given by:

  .....[1]

As per the statement:

The perimeter of a square is 80-64y units  

we can write this as:

Apply the distributive property we have;

⇒P = 4(20-16y)

On comparing with [1] we have;

Each Side length = 20-16y units

Therefore, an expression can be used to show the side length of one side of the square is, 4(20-16y) each side measures 20-16y units

Write the addition equation as a multiplication equation.
8 + 8 +8= 24

Answers

Answer:

3 × 8 = 24

3 × 8 is the multiplication equation.

Answer:

8x=24

Step-by-step explanation:

Please sayb this was helpful

A bakery makes m, muffins for its
morning rush. The bakery sells 243
muffins. At the end of the morning rush
there are 52 muffins left. Write an
equation to find out how many muffins
the bakery started the morning rush
with.


Plzzzz hurry

Answers

52 + m = 243

stay safe!

Answer:

243+52= 295, m= 295

Step-by-step explanation:

Are 5x + 2 and 2x + 5 equivalent ?

Answers

Answer:

No, They are not equivalent.

Answer:

No

Step-by-step explanation:

For example is x=3 then it would be

5(3)+2=17

2(3)+5=11

They arent equal

f(x) = x2 + 6x + 4
What is the increasing and decreasing

Answers

9514 1404 393

Answer:

decreasing: (-∞, -3)increasing: (-3, ∞)

Step-by-step explanation:

The leading coefficient is positive, so you know the parabola opens upward.

The ratio -b/(2a) is -6/(2·1) = -3, so you know the axis of symmetry is x = -3. The function will be decreasing from negative infinity to the vertex at x = -3, and will be increasing from there to positive infinity. At the vertex (x=-3), the function is neither increasing nor decreasing.

decreasing: (-∞, -3)increasing: (-3, ∞)

_____

Additional comment

For ax^2 +bx +c, the axis of symmetry is x=-b/(2a). The vertex (turning point) is on the axis of symmetry.

Can someone please help me !

Answers

X=10

If u need work lmk

Please help.........

Answers

Answer:

False

Step-by-step explanation:

the answer is....

False

What are the variables in the expression 2w + 11t + 4y

A 2, 11, and 4

B w, t, and y

C 17

D 2w, 11t, and 4y

Answers

9514 1404 393

Answer:

  B.  w, t, and y

Step-by-step explanation:

Delete the numbers and the math operators and what you have left are variables. You will want to eliminate any duplicates from the list (there aren't any duplicate).

The variables are w, t, y.

Answer:

Option B

Step-by-step explanation:

Definition of variables: Variables are terms that have no coefficients.

To look for variables in the expression 2w + 11t + 4y, simply look for the variables (letters) in the expression. We can see that the variables are w, t, and y, which matches Option B.

Hence, Option B is correct.

Andrew borrowed $700 from the bank to start a pressure washing business. The bank charged a simple interest rate of 7% per year. If it takes Andrew 3 years to pay back the loan, how much interest will he pay?

Answers

Answer:

$147

Step-by-step explanation:

Given:

Loan amount = $700Interest rate = 7% simpleTime = 3 years

Interest amount:

$700*3*0.07 = $147

Answer:

Simple interest=(Principal×Rate×Time)/100

Principal=$700, Rate=7%, & Time=3 years

→S.I. = (700×7×3)/100 = 147

Andrew has to pay a interest of $147.

1.
El año pasado, un orador motivacional llamado Rhiannon dio 20 charlas en el extranjero. Este año, dio
13 charlas en el extranjero. ¿Cuál es el porcentaje de disminución de las charlas en el extranjero del
año pasado a este año?
A. 75%
B. 40%
C. 35%

Answers

75% of the chakras en el extranjero

Can someone teach me this ASAP?

Answers

Yes so You already have your slope what you need is your Y intercept

Bonus Problem. Solve the equation for x in terms of the other
variables.
x(a +z)=w

Answers

the answer is w/a+z

a. A statistics class is made up of 19 men and 24 women. What percentage of the class is male?
b. A different class has 259 students, and 49% of them are men. How many men are in the class?
C. A different class is made up of 68% women and has 19 women in it. What is the total number of students in the class?

Answers

Answer:

a. 44.19%

b. 127

c. 28

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The required answers are-

a. The percentage of male in the class is 44.18%.

b . There are 127 men in the class.

c. Total number of students in the class are 28.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.

a. The percentage of male in the class :

Now its given that,

Number of males = 19

Number of females = 24

Total students = 43

Percentage of males = Number of males/Total students  *100%

Percentage of males = 19/43 *100%

Percentage of males = 44.18%

So,The percentage of male in the class is 44.18%

b . men in the class

It is given that,

Total students = 259

Percentage of males = 49%

Number of males in the class = 49% of 259

⇒  Number of males in the class = 49/100 *259

⇒  Number of males in the class = 126.91 ≈127

So,There are 127 men in the class.

c. Total number of students in the class

It is given that,

Percentage of women = 68%

Number of women = 19

Let x be the number of women in the class.

So,

68% of x = 19

⇒ 0.68x = 19

⇒ x = 19/0.68

⇒ x = 27.94

⇒ x ≈ 28

Hence,Total number of students in the class is 28

Thus, the required answers are-

a. The percentage of male in the class is 44.18%.

b . There are 127 men in the class.

c. Total number of students in the class are 28.

To learn more about percentage:

https://brainly.com/question/26080842

#SPJ2

Elli says 3 + (x + 1) is equivalent to (3 + x) + 1.
Gabe says 3 + (x + 1) is equivalent to 3+ (1 + x).
Who is correct and what property did they use?

Answers

Answer:

Elli and the associative property of addition

Step-by-step explanation:

Answer:

They are both correct

Step-by-step explanation:

Elli says 3 + (x + 1) is equivalent to (3 + x) + 1.

Gabe says 3 + (x + 1) is equivalent to 3 + (1 + x).

Who is correct and what property did they use?

How to use original price and markup to find retail price? Original price is $62 and %15 mark up.. What's the retail price?

Answers

Answer:

pretty sure its $72.94

Step-by-step explanation:

Retail would be $71.30, grab the $62 and multiply it by 0.15 and it gives you the answer

12 dogs decreased by 25% find the new amount

Answers

Answer:

9 dogs

Step-by-step explanation:

12×25% = 3

12-3 = 9

Abby is trying to pay off her debt. She owes $422 to her bank. In may she paid $76, but had to borrow an additional $135. In June she paid $45 and borrowed $110. The bank also charged her $58 in interest. How much did she owe at the end of June

Pleaseeeee finish this it is dueee

Answers

Answer:

240 dollars

Step-by-step explanation:

Answer:

604

Step-by-step explanation:

HELP ME !!!! with this please

Answers

Answer:x = 1

Step-by-step explanation:

Identify the y-intercept of the exponential
function.

Answers

Answer:

1

Step-by-step explanation:

Dorlanic's birthday party is coming up on Saturday. His friend Isaiah says there is a chance that he will attend the party. How likely is it
that Isaiah will attend?
O A It is certain that Isaiah will attend.
OB. It is impossible that Isaiah will attend.
OC. It is likely that Isaiah will attend.
O D. It is neither likely nor unlikely that Isaiah will attend.

Answers

Answer:

c. its likely that Isaiah will attend

Step-by-step explanation:

im sorry if im wrong just wanted to help, but it just seems like the right choice

I think it’s C I’m not sure

If one function has slope of 2 and another has -4, which has a greater rate of change

Answers

Answer:

-4

Step-by-step explanation:

Answer:

OHHHHHHH HARDER DADDY

Step-by-step explanation:

Aisha can bake 12 cookies with each scoop of flour. How many scoops of flour does Aisha need in order to bake 24 cookies? ​

Answers

It would be 2 scoops

What is the distance between (-5, 6) and (-5, -8)?

Answers

Answer

I think you should do it by yourself so i will give you an example then do the same thing with the same problem you have

Finding distance between AD

A(-2,4) and D(1,4) AD= (-2 + 1 =3 units)

Step-by-step explanation:

When there are two points in the SAME quadrant, we SUBTRACT the absolute values of coordinate that are different

If they are in the different quadrants we add!

Solve the equation.
3
7
+5
b=
1

Answers

Step-by-step explanation:

multiple 8 through the equation

8×3/2+8b=7/4x8

12+8b=14

8b=14-12

8b=2

divide through by 8

b=2/8 or b=1/4

Determine the length of side BA using the Pythagorean Theorem and round your answer to the nearest tenth's place.​

Answers

Answer:

2.3 cm

Step-by-step explanation:

BA² = AC² - BC²BA = √AC² - BC²BA = √4.7² - 4.1² = √5.28 = 2.3 cm (rounded)

Answer:

Let the required side (=BA) be x meter

According to the problem, (using the Pythagorus Theorem)

[tex] {x}^{2} + ({4.1)}^{2} = {(4.7)}^{2} \\ {x}^{2} = {(4.7)}^{2} - {(4.1)}^{2} \\ {x}^{2} = (4.7 + 4.1)(4.7 - 4.1) \\ {x}^{2} = 8.8 \times 0.6 \\ {x}^{2} = 5.28 \\ x = \sqrt{5.28} \\ \boxed{x = 2.3 \: meter}[/tex]

2.3 m is the right answer.

PLZ I REALLY NEED HELP OR I FAIL

Answers

Answer:

(-2, 4)

Step by step explanation:

-2 is the x coordinate and 4 is the y coordinate

(x, y) = (-2, 4)

There is your answer

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