Evaluate sin 300° without using a calculator.

Answers

Answer 1

Answer:

[tex]-\sqrt{3} /2[/tex]

Step-by-step explanation:

300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.

Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees

sin(60°) = [tex]\sqrt{3} /2[/tex]

And since sine is negative, this value turns negative:

sin(300°) = [tex]-\sqrt{3} /2[/tex]


Related Questions

what are the exponent and coefficient of the expression 4b^-3

Answers

Answer:

exponent is -3 and coefficient is 4

Order the numbers from least to greatest

Answers

Answer:

B

Step-by-step explanation:

It just is

If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?

Answers

9514 1404 393

Answer:

  x = -4

Step-by-step explanation:

Put the given point in the equation and solve for x.

  4x = 5(-3) -1

  4x = -16 . . . . . . simplify

  x = -4

Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10

Answers

Answer:

c

Step-by-step explanation:

thats the anser

how to complete this question?

Answers

Answer:

f(x) = [tex]-2^{x+1}-1[/tex]

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

    = [tex]-2^{0+1} - 1[/tex]

    = [tex]-2^{1}[/tex] - 1

    = -2 - 1

  y = -3

Got more question or somethin to discuss? Leave comment below

     

Help finding the sketch of a graph pls i’ll rate brainliest

Answers

Answer:

A

Step-by-step explanation:

X^3+1

Y int = 1

X int = -1

We can clearly see that the x int(when y = 0) for c = -3 so C is incorrect.

b is wrong because it's a quadratic(ax^2+bx+c) and d wrong because it linear(y=mx+c).

Knowing all this we can safely say that A is the correct answer choice.

Answer:

we firstly need to find x intercept and y intercept

of the 420 students enrolled in basic math only 41% are first-year students. How many
are first-year students? How many are not?

Answers

Answer:

Step-by-step explanation:

There are 420 students.

41% are first year students.

41% = 41/100

420 * 41/100 = 172.4

What do you do about the 0.4? I would just round to the nearest whole number which is 172.

There are 420 - 172 = 248 who are not first year students.

6927÷19 plz help me

Answers

When dividing 6927 by 19 you get 364.58
it equals 364 r11 (i’m pretty sure)

Santo chose c as the correct

Answers

Is this a question or an answer

Please help!!!! I have no clue how to do this

Answers

Answer:

It'll be the same figure- an acute isoceles triange

Step-by-step explanation:

Reflection is just copying the same shape across the x-axis (the main horizontal line on graphs) or the y-axis (the main vertical line on graphs). It's like looking at yourself in the mirror, like a reflection!

Determine the range of the following graph:
y
12
11
10
9
8
7
2
1
-12-11-10-9-8-7-6-5-4-3-2-11
1 2 3 4 5 6 7 8 9 10 11 12
- 2
-3
-4
-8
-9
-10
-11
-12

Answers

Answer:

r = (-4,9]

Step-by-step explanation:

hope this will help

Answer:

-4<y≤2

Step-by-step explanation:

The range of a graph is the range of the y values.

Why are fractions difficult to teach and learn? Give 5 reasons.

Answers

Answer:

It is not hard

Step-by-step explanation:

•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often

•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers

•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more

•It is very hard to solve questions if you are not freindly with the chapter

• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic

Milan sold an article for Rs 450 with a loss of 10%. Find his CP. At what price it should be sold so as to gain 5 %.

Pls-- help request!!​

Answers

Hope it helps you.The answer of this question is 25.

Really need to someone to break this down so I can understand it
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point ​P(2,​ -3​) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)

Answers

Answer:

Part A)

The slope is two.

Part B)

[tex]\displaystyle y = 2x - 7[/tex]

Step-by-step explanation:

Part A)

We want to find the slope of the curve:

[tex]\displaystyle y = x^2 - 2x - 3[/tex]

At the point P(2, -3) by using the limit of the secant slopes through point P.

To find the limit of the secant slopes, we can use the difference quotient. Recall that:

[tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]

Since we want to find the slope of the curve at P(2, -3), x = 2.

Substitute:

[tex]\displaystyle f'(2) = \lim_{h \to 0} \frac{f(2 + h) - f(2)}{h}[/tex]

Simplify. Note that f(2) = -3. Hence:

[tex]\displaystyle \begin{aligned} f'(2) &= \lim_{h\to 0} \frac{\left[(2+h)^2 - 2(2+h) - 3\right] - \left[-3\right]}{h} \\ \\ &=\lim_{h \to 0}\frac{(4 + 4h + h^2)+(-4-2h)+(0)}{h} \\ \\ &= \lim_{h\to 0} \frac{h^2+2h}{h}\\ \\&=\lim_{h\to 0} h + 2 \\ \\ &= (0) + 2 \\ &= 2\end{aligned}[/tex]

(Note: I evaluated the limit using direct substitution.)

Hence, the slope of the curve at the point P(2, -3) is two.

Part B)

Since the slope of the curve at point P is two, the slope of the tangent line is also two.

And since we know it passes through the point (2, -3), we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitute. m = 2. Therefore, our equation is:

[tex]\displaystyle y + 3 = 2(x-2)[/tex]

We can rewrite this into slope-intercept if desired:

[tex]\displaystyle y = 2x - 7[/tex]

We can verify this by graphing. This is shown below:

You buy butter for $4 per pound You need 4oz of butter for your formula How much does the butter for 1 portion cost?

Answers

2 I think :) hope this helped

Translate into a variable expression. the quotient of 43 less than m and twice m

Answers

Answer:

(m - 43)/2m

Step-by-step explanation:

helpppp!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Below

Step-by-step explanation:

DO=15

OB=3x+7

DB=9x-2

O is between D and B

So,

OB+DO=DB

or, 9x-2+3x+7=15

or, 12x=15-5

or, x=10/12

Thus, x=5/6

the answer is x=5/6
you are welcome
sorry if it’s wrong

11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!

Answers

To find the solutions of quadratic equation, there are two ways to do which are:

FactorizeQuadratic Formula

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×b

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

(Urgent please!!) Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary. Use the /key to represent a fraction bar. Do not put spaces in your answer

Answers

Answer:

-5/4

Step-by-step explanation:

C is at the point (2,3) and D is at the point (6,-2)

-2-3 = -5 which would be the top part and 6-2=4 and that's the bottom part.

If a = b, then a^2 = b^2

What is the proof of this statement?

Answers

Step-by-step explanation:

=

since a=b, therefore we can write a in place of b or b in place of a,

= or =

Hence, it is proved.

I hope it helped U

I hope it helped Ustay safe stay happy

Evaluate the expression 3(x^2-y) +4 if x=3 and y=2

f.) 16
g.) 25
h.) 29
j.) 33

Answers

Step-by-step explanat

(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25

The temperature in a town is 33.6°F during the day and - 17.3°F at night. Find the difference in the temperatures.
The difference in temperature is
F.

Answers

Answer:

the difference between the temperatures is -50.9. f=-50.9

Step-by-step explanation:

33.6°F+17.3°F=50.9

33.6°F+F= -17.3°F

33.6°F+(-50.9°F= -17.3°F

so, F=-50.9°F

Step-by-step explanation:

d=T2-T1=(-17.3-33.6)=-50.9°F

3. Solve and plot your answer on the number line below:
9.28 + 2x = 18.14

Step by step

Answers

1. Isolate your variable (2x) by subtracting 9.28 from both sides
2. Your equation should now look like 2x=8.86
3. Divide both sides by 2
4. Your equation should now say x=4.43
5. Plot on the appropriate spot

2/8 of a rope is 28 meters.What is the length of the rope?​

Answers

let length be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]

[tex]\\ \sf\longmapsto x=4(28)[/tex]

[tex]\\ \sf\longmapsto x=112[/tex]

Sam hits a golf ball from a elevated tee

Answers

First take a derivative,

[tex]\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)[/tex]

Now compute the critical point where the slope is 0,

[tex]-10(t-1)=0\implies t-1=0\implies t=1[/tex]

And done.

The maximum height is at [tex]t=1[/tex] of [tex]h(1)=-5+10+30=35[/tex].

Hope this helps :)

5.4 - (9.5 - 8) - 2.5

(pls help and explain pls)

Answers

Answer:1.4

Step-by-step explanation:

What is the largest multiple of 4 that is less than 30 ?

Answers

Answer:

The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28

the largest multiple of 4 that is lass than 30 is 28

Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.​

Answers

Answer: B

Step-by-step explanation:

The most likely the next pattern in the series is 2 lines with red color. Therefore, option B is the correct answer.

What is pattern?

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

From the given patterns

Figure 1 has 5 lines and it is blue in color.

Figure 2 has 4 lines and it is red in color.

Figure 3 has 3 lines and it is blue in color.

So, Figure 4 must has 2 lines and red in color.

Therefore, option B is the correct answer.

Learn more about the pattern here:

https://brainly.com/question/23136125.

#SPJ7

which equation shows the valur of -2/5- (-9/15)

Answers

Answer:

3/15

Step-by-step explanation:

-2/5=-6/15

(-6-(-9))/15=(-6+9)/15=3/15

Sorry for my bad handwriting ​

Answers

Answer:

No it is good

Step-by-step explanation:

I like it. good luck

Answer:

Rs 18.30

Step-by-step explanation:

100-(25.75+20.50+35.45)=100-81.70=Rs18.30

Other Questions
Scenario: 500 units of a product are being manufactured and the question to be answered is whether or not to perform a particular test on those units before shipping. The test costs $10,000 per unit to perform. The cost not to perform the test is $0 per unit, but if a unit fails in the field then it will have to be fixed in the field, which has a cost of $350,000 per unit.If the units are tested, for the units that pass the test, there is now an additional cost of re-readying the units for delivery of $2,000 per unit. For the units that fail the test, there is now an additional cost of $21,000 to fix the units, as well as the $2,000 per unit cost of re-readying them for delivery, for a $23,000 total cost per unit.Historically you know and can count on the fact that 96% of your products will pass the testing. The same pass/fail rate for testing applies to the pass/fail rate observed in the field.To fully complete this assignment, you need to answer or perform the following:The math and resulting values you are expected to fill in to show the completion of the decision tree.Be sure to fill in the last two values: what is the Expected Monetary Value for both performing the test and not performing the test?Which choice should be made? Be sure to include with your submission an answer to whether the test should be performed or not, and give a short answer why. The sum of the first n terms of an arithmetic sequence is n/2(4n + 20). a) Write down the expression for the sum of the first (n 1) terms. b) Find the first term and common difference of the above sequence. What is Slope=2, y-intercept =5 the score analysis of a school show the following. 180student register for Economics, 90 student Economics and political science,10 student Economics only, 150 student Economics and Geography, 120 student political science and Geography, 210 Geography, total number of students that register for the subjects= 250. find the number of students who register for.1. political science2. political science and Geography but not econs3. Economics and political science but not Geography Compare the movement of four cars. Car A covered a distance of 60 km in 1hr.Car B covered a distance of 30 km in 30 minutes. Car C covered a distance of 20km in 15 minutes, Car D covered a distance of 10 km in 7 minutes, which car hadthe highest velocity?" The first person to answer this correctly gets Branilist! why is rufus important to dana? (in the book kindred) What is the solution to this system of equations using the linear combination method?Please help!! 2) To move the camera toward or away from an object is called:A) ArcB) DollyC) PanD) Tilt I took these photos for art class, wanted to know if i should edit them a bit Genese Girer Gervis just hard the gossip about the latest scandal. He wants to make sure his fifteen buddies leam the gorp as quickly as possible. All the gossiping must take place by telephone, and every telephone conversation lasts an hour. How long will it take for all of Gervis's buddies to learn about the scandal? can someone help me with this ? A set of Numbers is shown below. The rate of a chemical reaction can be found by measuring how ................. the reactants are ................. or how quickly the products are ............... Plz answer this is very important THREE reasons except politics for the looting of shops,malls and the destruction of business property in GAUTENG and KwaZulu Natal If mZEDH = 73 and mZDHE = 85 in the diagram below, what is mZHEF? O 338 O 22 O 158 202 To what is George referring to when he say you say father did it Please solve these! Read the instructions too! Use the order of operations to simplify the expression below. 990 (12-9)