What is sin30? What is cos30? What is tan60?

What Is Sin30? What Is Cos30? What Is Tan60?

Answers

Answer 1

Answers:

[tex]\sin(30^{\circ}) = \frac{1}{2}\\\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]

=======================================================

Work Shown:

Problem 1

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(30^{\circ}) = \frac{7}{14}\\\\\sin(30^{\circ}) = \frac{1}{2}\\\\[/tex]

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

Problem 2

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(30^{\circ}) = \frac{7\sqrt{3}}{14}\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\[/tex]

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

Problem 3

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{7\sqrt{3}}{7}\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]


Related Questions

how do you work out 1 2/3÷3/4

Answers

The answer can be 20/9 or 2 and 2/9 or 2.2.
Step by step explanation:
Concert the mixed number to an improper fraction: 5/3•3/4
To divide by a fraction, multiply by the reciprocal of that fraction: 5/3•4/3
Multiply: 20/9
This is your solution. Please mark brainliest :)
20/9 or 2 and 2/9 and last one 2.2

if i have 100 dollars to spend and i get a 40 percent discount how much can i spend in all with the 40percent discount? to use the full 100$

Answers

Answer:

You will need to spend $250

Explanation: 250 x 0.40 = 100

helppppppppp :)))

plss :))))

Answers

Hello!

2(c-4+1)

= 2c -8 +2

= 2c -6

What the mean ??? THANK YOU math experts !

Answers

Answer:

A

Step-by-step explanation:

Because the average is already 49.333 If you rounded by tenth then 49.3 because.

Tenth is the 1rst number behind the decimal so the three looks to it's other neighbor hundredths because hundredths=second number behind decimal so 3 goes over to 3 and asks for help.

Because it is 4 and below you keep it low so 3 can't go up so your answer is 49.3 rounded to nearest tenth.

Hope this helps have a great day.

A summer camp has a group of 108 campers. When going kayaking 6 campers each can fit on a kayak. 2 more kayaks will be needed for the counselors. How many kayaks will be needed in total?

Answers

Answer: the answer is 18 kayaks

Step-by-step explanation:

i divided 108 by 6 to get 16 then just add 2

55% of the cookies Joel baked had chocolate chips.If joel baked 77 cookies with chocolate chi[s.How many cookies did hs bake

Answers

Answer:

140 cookies

Step-by-step explanation:

77=55%

55/5=11      

77/11=7

7=5%

it's 45% away from 100%

45/5= 9

9x7=63

63+77=140

The answer is 140 cookies

what is the measure of angle H? (answer with the number not only the degree sign pls)

Answers

Answer:

145 degrees

Step-by-step explanation:

Linear pairs. 180-35=145

Answer:

145 degrees

Step-by-step explanation:

Angle H is next to what I assume is angle G. If you add those two together they will equal 180 degrees because they are supplementary angles. So your equation is

H= 180-35

Which equals 145

What is the slope and y-intercept? Please help!!

Answers

Answer:

y=4x+7

Step-by-step explanation:

Write an expression equivalent to m+m+m+m that is a sum of two terms

Answers

Ans=4m because m+m=2m and m+m+m+m=4m

Answer:

2m+2m

Step-by-step explanation:

PRETTY PLEASE HELP ME!!!

Complete the two-column proof below. The ‘reasons’ are already given so only the mathematical ‘statements’ need to be completed.
Given: A and B are complementary angles. B and C are complementary angles.
Prove A ~= C

Answers

Check out the attached image below to see how the proof table looks like.

===================================================

Further explanation:

You start with what we're given, which is the two statements that

A and B are complementary angles. B and C are complementary angles.

We literally copy/paste this into the first box for the "Statements"

From there, we can say A+B = 90 and B+C = 90 due to the definition of what "complementary" means. Complementary angles always add to 90 degrees.

Since A+B = 90 and B+C = 90, the left hand sides can be set equal to one another through the substitution rule. That's how we end up with A+B = B+C on step 3.

Next, we subtract B from both sides to go from A+B = B+C to A = C.

For the last step, we do a bit of a notation change, and the proof is wrapped up.

Two similar cylindrical objects have a scale factor of 2/3.what is the ratio of their volumes.​

Answers

Answer:

A) 2 : 3

Reason: Since their scale factor is 2 / 3, meaning that the object 2 / 3 of the other same object, so the volume also 2 / 3 of the other object

Problem 1: The 30% discount on a 49$ dollhouse
problem 2: the 20%tip on a 8$ sandwich
problem 3: the total cost of a 112.75$ meal with a 20% tip
problem 4: the price paid for a 15$ shirt after q 45% discount is applied

Thanks​

Answers

Answer:

1. $34.30

2. $9.60

3. $135.30

4. $8.25

Step-by-step explanation:

Answer:

1. $14.70

2. $1.60

3. $135.30

4. $8.25

Step-by-step explanation:

1. Convert percentage to decimal:

30% = 30/100 = 0.3

So 30% of $49 = 0.3 x 49 = 14.7

Therefore, a discount of 30% = a discount of $14.70

2. Convert percentage to decimal:

20% = 20/100 = 0.2

So 20% of $8 = 0.2 x 8 = 1.6

Therefore, the 20% tip = $1.60

3. Convert percentage to decimal:

20% = 20/100 = 0.2

So 20% of $112.75 = 0.2 x 112.75 = 22.55

Therefore, total cost with the tip = 112.75 + 22.55 = $135.3

4. If a discount of 45% is applied, the new cost of the shirt will be 55% of its original price (as 100% - 45% = 55%)

Convert percentage to decimal:

55% = 55/100 = 0.55

So 55% of $15 = 0.55 x 15 = 8.25

Find the value of x. Give the scale factor of the left polygon to the right polygon.

Answers

Answer:

c

Step-by-step explanation:

Show that [An(AnB)']= A'uB by the Use of laws of Algebra of sets​

Answers

Answer:

A` ∪ B - not A and B. So basically that is everything except A - A ∩ B (including the cases outside).

A ∩ (A ∩ B)` = A - A ∩ B

So, I would say the statement is false.

If 4(10 – 3y) + 5y = 18, what is the value
of 14y?

Answers

Answer:

-47.7647058823 (should be answer)

Step-by-step explanation:

4(10-3y)=40-12y

40-12y+5y

combine terms

40-17y=18

add 40 to both side

-17y=58

divide both sides by -17

y= -3.41176470588

14x-3.41176470588=-47.7647058823

3. Mac made a display for the school library. He used seven sheets of poster board for the display, each sheet cost $3.25. How much did the sheets cost him?​

Answers

Answer:

$22.75

Step-by-step explanation:

We know that Mac used 7 sheets that cost $3.25 each. Our goal is to find the total cost that the sheets were altogether.To find this, we need to multiply the number of sheets by the cost.This will be 7 • $3.25, which will get us $22.75

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

 The volume of a cylinder is 282.6 ft. The height is 10 feet. What is the radius?

Answers

Answer:

r ≈ 3

Step-by-step explanation:

Using the formula:

V = [tex]\pi r^{2} h[/tex]

Rearrange to make r the formula:

r = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

r = [tex]\sqrt{\frac{282.6}{10\pi} }[/tex]

r ≈ 2.99924

r ≈ 3

f(x) = 10*(x + 5)²
f(5) = ? ​

Answers

♪Answer :

»f(x) = 10*(x + 5)²

»f(5) = 10*(5 + 5)²

»f(5) = 10*(10)²

»f(5) = 10*(100)

»f(5) = 1.000

[tex]\\ \rm\hookrightarrow f(x)=10(x+5)^2[/tex]

[tex]\\ \rm\hookrightarrow f(5)[/tex]

[tex]\\ \rm\hookrightarrow 10(5+5)^2[/tex]

[tex]\\ \rm\hookrightarrow 10(10)^2[/tex]

[tex]\\ \rm\hookrightarrow 10^3[/tex]

[tex]\\ \rm\hookrightarrow 1000[/tex]

Use the following to determine your monthly balance for a monthly net income of $2,700. Monthly Expenses of: Fixed $625; living $1,200; Annual monthly $625 *

Answers

The net income is the difference between the gross income and the total expenses

The net monthly balance is $1975

How to determine the net balance

The monthly income is given as:

Income = $2700

The expenses are given as:

Fixed $625;

Living $1,200 (Annual)

The living expense is given per annual.

So, we start by calculating the monthly living expense

This gives

Living =$1200/12

Living = $100

The net balance is then calculated as:

Net = Income - Living - Fixed

This gives

Net = $2700 - $100 - $625

Net = $1975

Hence, the net income is $1975

Read more about net and gross income at:

https://brainly.com/question/15530787

So i need to pick classes for my freshman year next year and i d k if i should take pre algebra or just do algebra. My math grade right now is 3.7 out of 4

Answers

Answer:

Step-by-step explanation:

My recommendation is try to find a finals for both pre-algebra or algebra after learning some of the material ahead of time and after taking them, find which one is more comfortable for you

Good luck!

I would say Pre-algebra that is my thinking because pre algebra is easier               for me :)

HELP ME OUT PLS!!!!

Which Venn diagram is correct?​

Answers

Answer:

C

Step-by-step explanation:

A is incorrect because -3.1 is rational.

B is incorrect because 1.14 repeating is rational.

C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.

D is incorrect because pi is irrational.

C because the numbers in the irrational numbers diagram cannot be exactly represented with fractions.

What is the slope of the line that passes through the points (-7,-8) and (-5,-6) write your answer in simplest form

Answers

y=x-1

When x=0, y = -1

When y=0, x = 1

delta y over delta x = 1/1 which means the slope is 1

Answer:

Slope is equal to 1.

Step-by-step explanation:

(-7, -8) --> (x1, y1)

(-5, -6) --> (x2, y2)

[tex]slope \: = \frac{y2 - y1 }{x2 - x1} \\ slope \: = \frac{ - 6 -( - 8) }{ - 5 - ( - 7)} \\ slope \: = \frac{ - 6 + 8}{ - 5 + 7} \\ slope \: = \frac{2}{2} \\ slope = 1[/tex]

Therefore the slope of the line is 1

A quality control manager at an auto plant measures the paint thickness on newly painted cars. A certain part that they paint has a mean thickness of 2mm with a standard deviation of 0.8mm.

The manager takes a daily random sample of thickness measurements from 100 randomly chosen points on these parts and calculates the sample mean thickness
-x from each sample. We can assume that the points in each sample are independent.

What will be the shape of the sampling distribution of -x?

Answers

Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

10. Find the length of each side of a triangle if the perimeter is 73 in. The length of the second side is twice the length of the first side and the length of the third side is five more than thee length of the first side. ​

Answers

Answer:

Step-by-step explanation:

Given the Perimeter of a triangle is 73

Let the first side be x

second side = 2x

third side = x+5

PERIMETER OF A TRIANGLE = SUM OF ALL SIDES

73=X+2X+X+5

73=4X+5

73-5=4X+5-5

68=4X

68/4=4X/4

17=X

THIS IMPLISE THAT FIRST SIDE IS X = 17

SECOND SIDE IS 2X= 2*17=34

THIRD SIDE IS X+5=17+5=22

Mr Tarun earns dollar $12.50 a day how much would he earn if he works for 6 days​

Answers

Answer:

$75

Step-by-step explanation:

Question:Mr Tarun earns dollar $12.50 a day how much would he earn if he works for 6 days?

Solution:$12.50 in a day

12.50 multiple by 6

=75

Ans.$75

HOPE IT HELPS

CARY ON LEARNING

Answer:

$75

Step-by-step explanation:

$12.50 x 6
= 75

Calculate the mean absolute devletion of the electric bills for Family C. Round your answer to the nearest cent

Answers

Answer:

Mean Absolute Deviation Calculator

Instructions

This calculator computes the mean absolute deviation from a data set:

You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset

What is the mean absolute deviation

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

Step-by-step explanation:

Hope it helps

Answer: i dont get can you include a picture

Step-by-step explanation:

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

add yeh six plus 99

Step-by-step explanation:

then there is a

What is an approximate solution to this equation? 4/x-5=√x+3+2



A. 3.73

B. 5.81

C. 4.97

D. -0.80

Answers

The approximate solution to the equation [tex]\dfrac{4}{x - 5} = \sqrt{x + 3} +2[/tex] found using

the Newton-Raphson method is option B.

B. 5.81

How can the Newton-Raphson method be used?

The given function is presented as follows;

[tex]\dfrac{4}{x - 5} = \mathbf{ \sqrt{x + 3} +2}[/tex]

Which gives;

[tex]\dfrac{4}{x - 5} -2= \sqrt{x + 3}[/tex]

[tex]\left(\dfrac{14-2\cdot x}{x-5} \right)^2 = \sqrt{x+3} ^2 = x+3[/tex]

[tex]\mathbf{\dfrac{4\cdot x^2 - 56 \cdot x + 196}{x^2-10\cdot x + 25}} = x + 3[/tex]

Therefore;

[tex]\mathbf{\dfrac{4\cdot x^2 - 56 \cdot x + 196}{x^2-10\cdot x + 25} - (x + 3)} = 0[/tex]

[tex]\dfrac{- x^3 + 11 \cdot x^2 - 51 \cdot x + 121}{x^2-10\cdot x + 25} = 0[/tex]

x³ - 11·x² + 51·x - 121 = 0

Using the Newton Raphson method, with x₀ = 6, we have;

[tex]x_1 = x_0- \dfrac{x^3 - 11 \cdot x^2 + 51 \cdot x - 121}{3 \cdot x^2 - 22 \cdot x + 51}[/tex]

Which gives;

[tex]x_1 = 6- \dfrac{6^3 - 11 \times 6^2 + 51 \times 6 - 121}{3 \times 6^2 - 22 \times 6 + 51} \approx \mathbf{ 5.81}[/tex]

The correct option is B. 5.81

Learn more about the roots polynomial functions here:

https://brainly.com/question/25956931

enter the sine of the angle

Answers

Answer:

sin 63 ≈0.891

Step-by-step explanation:

cos and sin in most of the time they use the same angle

Helppppo pls and thanks fractions

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

They started with 126 oranges. They took 10 for themselves and split the rest between 4 other families.

A: not correct. What actually happened was the reverse of 10 and 4. See the correct answer. (126 - 4)÷10 is the reverse of what actually happened.

B: this is the correct answer. (126 - 10)÷4 = n.

C: Incorrect because 10 oranges were subtracted from the total. They were not added.

D: See the comment for B. In addition, nothing is added to the 126

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