Find the value of cos210°
Answers
ANSWER
\(\begin{equation*} -\frac{\sqrt{3}}{2} \end{equation*}\)EXPLANATION
We want to find the value of:
\(\cos210\)We can rewrite it as:
\(\cos(180+30)\)Because 210 degrees is in the third quadrant, the value of its cosine is negative and it is the same magnitude as the cosine of 30 degrees.
In other words, the value of cos210 is:
\(\cos(210)=-\cos(30)=-\frac{\sqrt{3}}{2}\)That is the answer.
Related Questions
Can anyone help me?
Answers
Answer:
0.8
Step-by-step explanation:
3(5x+2)+10=4
=15x+6+10=4
After this step you subtract 6 from each side and then subtract 10 from each side and then after that you divide 15x on each side which will give you 0.8.
ANSWER QUICK 50 point question (will give brainliest)
Given h(x )= −3x +5. Find the indicated values.
1. h(2)
2. h(-5)
Answers
\(\\ \sf\longmapsto h(x)=-3x+5\)
\(\\ \sf\longmapsto h(2)=-3(2)+5=-6+5=-1\)
\(\\ \sf\longmapsto h(-5)=-3(-5)+5=15+5=20\)
Answer:
• for h(2):
\({ \tt{h(x) = - 3x + 5}} \\ \\{ \tt{h(2) = - 3(2) + 5}} \\ \\ { \tt{h(2) = - 6 + 5}} \\ \\ { \boxed{ \boxed{ \tt{ \: \: h(2) = - 1 \: \: }}}}\)
• h(-5):
\({ \tt{h( - 5) = - 3( - 5) + 5 }} \\ \\ { \tt{h( - 5) = 15 + 5}} \\ \\{ \boxed{ \boxed { \tt{ \: \: h( - 5) = 20 \: \: }}}}\)
Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.
4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4
Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?
A.
3
10
B.
9
20
C.
11
20
D.
1
36
Answers
Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:
A. \(\frac{3}{10}\).
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, the number of outcomes are taken from previous trials.
In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:
p = 6/20 = 3/10.
Which means that option A is correct.
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Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
Answers
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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solve the system of linear equations by elimination. −x+y=4 x+3y=4; solve the system of linear equations by elimination. 5x+6y=50 x−6y=−26; solving by elimination; systems of equations; systems of linear equations
Answers
The value of x and y for the first set of equations is -2 and 2 respectively, while the value of x and y for the next set of equations is 4 and 5 respectively.
We have equations
-x + y = 4 [1]
x + 3y = 4 [2]
Here we see that we can eliminate x by simply adding [1] and [2] up
we get
4y = 8
or, y = 2
Putting this equation [1] we get
-x + 2 = 4
or, -x = 2
or, x = -2
The next set of equations is
5x+6y=50 [3]
x−6y=−26 [4]
here we can eliminate y. hence we get
6x = 24
or, x = 4
putting this value in equation [3] we get
4 - 6y = -26
or, 6y = 4 + 26
or, y = 30/6
or, y = 5
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the sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
Answers
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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Please help me identify the rays!!!!
Answers
Answer:
D (The last choice)
Step-by-step explanation:
We know that rays are lines with a dot on one side and an arrow on the other. WE also know that lines have two arrows on each end. Keeping this in mind, we can identify which line segments and rays and lines.
An item costs $370 before tax and the sales tax is $11.10. Find the sales tax rate::Write your answer as a percentage.
Answers
Answer:
3%
Step-by-step explanation:
Cost x sales tax rate =tax
370 x sales tax rate = 11.10
sales tax rate =11.10/370
sales tax rate=.03 or 3%
The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.
As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:
sales tax rate = tax paid / (cost of the item before tax) x 100%
sales tax rate = $11.10 / $370 x 100%
Apply the division operation,
sales tax rate = $0.03 x 100%
Apply the multiplication operation,
sales tax rate = 3%
Therefore, the sales tax rate is 3%.
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THROUGH (-2,2) parallel to y=-x-5
Answers
The calculated equation of the line parallel to y = -x - 5 that passes through (-2, 2) is y = -x.
Calculating the equation of the lineTo find the equation of the line parallel to y = -x - 5 that passes through (-2, 2),
We first note that any line parallel to y = -x - 5 will have the same slope as this line, which is -1
Using the point-slope form of the equation of a line, we can write the equation of the line we're looking for as:
y - y1 = m(x - x1)
where m is the slope (-1 in this case),
So, we have
y - 2 = -1(x - (-2))
Evaluate
y - 2 = -x - 2
Adding 2 to both sides, we get:
y = -x
Therefore, the equation of the line parallel to y = -x - 5 that passes through (-2, 2) is y = -x.
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5. At Michael's store, a paint set is on sale for $39.99. The original price was
$66.65. What percent of the original price is the sale price?
PLS HURRY
Answers
around 50%
Step-by-step explanation:
because 30 of half of 60
Answer:
$ 26.66
Step-by-step explanation:
Minus the orignal price and the sale price and then you will get the answer
I need help solving this practice The instructions are in the photo
Answers
To answer this question, we can proceed as follows:
We need to apply the following identity:
\(\sin (x+y)=\sin (x)\cos (y)+\cos (x)\sin (y)\)Then we have to find the sine and cosine for the given values. We need to take care of the quadrants for the signs of the functions.
1. We have that:
\(\cos \theta=-\frac{\sqrt[]{2}}{3},\pi\leq\theta\leq\frac{3\pi}{2}\)Therefore, we know that Θ is in the III Quadrant, and we already know that the cosines and sines functions are negative in this quadrant.
Then we have:
To find the opposite side of the triangle - to find later the sine ratio - we can use the Pythagorean Theorem as follows:
\(\begin{gathered} (-\sqrt[]{2})^2+x^2=3^2 \\ 2+x^2=9 \\ x^2=9-2 \\ x^2=7 \\ \sqrt[]{x^2}=\sqrt[]{7} \\ x=\sqrt[]{7} \end{gathered}\)Therefore, we have that:
\(\sin \theta=-\frac{\sqrt[]{7}}{3}\)We need to remember that the sine function is negative in the III Quadrant.
We have also that:
\(\tan \beta=\frac{4}{3},0\leq\beta\leq\frac{\pi}{2}\)We can see that the values for sine and cosine in the I Quadrant are positive. However, we have the value for tanβ. Therefore, we have:
We have to remember that tan = opposite side / adjacent side. Now, we need to find the hypotenuse to find the sine and cosine for this angle. We can use the Pythagorean Theorem again:
\(\begin{gathered} x^2=3^2+4^2 \\ x^2=9+16^{} \\ x^2=25 \\ \sqrt[]{x^2}=\sqrt[]{25} \\ x=5 \end{gathered}\)Therefore, we have:
\(\begin{gathered} \sin \beta=\frac{opposite}{hypotenuse}=\frac{4}{5}\Rightarrow\sin \beta=\frac{4}{5} \\ \cos \beta=\frac{adjacent}{hypotenuse}=\frac{3}{5}\Rightarrow\cos \beta=\frac{3}{5} \end{gathered}\)We need to remember that both sine and cosine are positive in the first quadrant.
We know that:
\(\sin (x+y)=\sin (x)\cos (y)+\cos (x)\sin (y)\)Then
\(\sin (\theta+\beta)=\sin (\theta)\cos (\beta)+\cos (\theta)\sin (\beta)\)And we got that:
\(\begin{gathered} \sin \theta=-\frac{\sqrt[]{7}}{3} \\ \cos \theta=-\frac{\sqrt[]{2}}{3} \\ \sin \beta=\frac{4}{5} \\ \cos \beta=\frac{3}{5} \end{gathered}\)Then we have to substitute the corresponding values into the trigonometric identity given above:
\(\begin{gathered} \sin (\theta+\beta)=\sin (\theta)\cos (\beta)+\cos (\theta)\sin (\beta) \\ \sin (\theta+\beta)=(-\frac{\sqrt[]{7}}{3})(\frac{3}{5})+(-\frac{\sqrt[]{2}}{3})(\frac{4}{5}) \\ \sin (\theta+\beta)=\frac{-3\sqrt[]{7}}{15}+\frac{-4\sqrt[]{2}}{15} \\ \sin (\theta+\beta)=\frac{-3\sqrt[]{7}-4\sqrt[]{2}}{15} \end{gathered}\)Therefore, we have, in summary, that:
\(\sin (\theta+\beta)=\frac{-3\sqrt[]{7}-4\sqrt[]{2}}{15}\)[We can also express the result as follows:
\(\begin{gathered} \sin (\theta+\beta)=(-\frac{\sqrt[]{7}}{3})(\frac{3}{5})+(-\frac{\sqrt[]{2}}{3})(\frac{4}{5}) \\ \sin (\theta+\beta)=-\frac{\sqrt[]{7}}{5}-\frac{4\sqrt[]{2}}{15} \end{gathered}\).]
13.5% of 1400 round to nearest hundredths
Answers
Answer:
189
Step-by-step explanation:
(13.5 / 100) 1400 = 189
yw ;)
Decide if the given value of x is a critical number for f, and if so, decide whether the point for x on f is a relative minimum, relative maximum, or neither.
f(x) = ( x + 5)^4; x = - 5
A. Critical number; maximum at (-5 , 0)
B. Critical number; minimum at (-5 , 0)
C. Not a critical number.
D. Critical number but not an extreme point.
Answers
The value of the function after evaluation is , f(x)=0 . Hence it is neither a minima nor a maxima.
f(x) =(x + 5)^4; x = - 5
=(-5+5)^4
=(0)^4
=0
The critical value is crucial for accurately portraying a range of properties in statistics. The critical value can be helpful for proving or disproving ideas when they are tested, in addition to validity and accuracy.
If you're taking a statistics course or are just interested in how these concepts work, it is essential to comprehend critical value and how to compute it before analyzing other statistical functions, such as margin of error and significance.
When calculating the margin of error for a set of data, statisticians utilize a measurement known as the critical value.
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Enter the number that belongs in the green box. 4 51° 109°
Answers
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answers
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125
f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
Answers
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
\(f/3 +22 = 17\)
\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.
Then simplify. The \(+22 and -22= 0\) They "cancel" \(17-22 = -5\)
\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
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How is the daily balance method different from compounding interest daily?
a. Unlike daily compound interest, the daily balance method only applies charges at the end of
the month.
b. The daily balance method rounds less frequently than daily compound interest.
C. The daily balance method checks your balance at the end of each day, but daily compound
interest checks at the beginning of each day.
d. It is not different. The two processes are the same.
Please select the best answer from the choices provided
Answers
Answer:
a on edge 2021
Step-by-step explanation:
We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.
What is compound interest?Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.
Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.
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The reciprocal of 2 4/7 is? a. 7/18 b. 1/2 c. 18/7 d.7/8
Answers
\(\text{Hello! :)}\)
\(\large\boxed{A. 7 / 18}\)
\(\text{Convert 2 4/7 into an improper fraction:}\\\\2*7 + 4 = 18 \\\\\text{(To find the numerator of the fraction)}\\\\\text{Fraction in improper form: 18/7}\\\\\text{Reciprocal of fraction: Swap numerator and denominator:}\\\\18/7 \text{ becomes } 7 / 18\)
Calculate the surface area of the triangular prism
Answers
Answer:
66 inches²
Step-by-step explanation:
Area of 1 triangle = ½ × base × height = ½ × 7 × 4 = 14 in²
Area of 2 triangles = 14 × 2 = 28 in²
Area of outer rectangles = (6 × 2) × 2 = 24 in²
Area of inner rectangle = 2 × 7 = 14 in²
Total surface area = 28+24+14 = 66 in²
for each parallel lines. you are given the measure of one angle
Answers
Answer:
The question is not complete
which expression is equivalent to this polynomial expression? (8x^2y^2-9x^2y+9y) -(6x^2y-xy^2+4y) A.-7x^2+xy^2+5y B.8x^2y^2-3x^2y-xy^2+13y C.-7x^2y^2-xy^2+13y D 8x^2y^2-15x^2y+x^2+5y
Answers
Answer:
D. 8x²y² - 15x²y + xy² + 5y
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Step 2: Simplify
Distribute negative: 8x²y² - 9x²y + 9y - 6x²y + xy² - 4yCombine like terms (x²y): 8x²y² - 15x²y + 9y + xy² - 4yCombine like terms (y): 8x²y² - 15x²y + xy² + 5yThe value 346.7812 rounded to the nearest hundredth is
346.7800
QQI 300
346.781
346.78
Answers
Answer:
346.78
Step-by-step explanation:
Rounding a number to hundredth means approximating or making the number after the second position of the decimal to either a 10 or zero.
Thanks for the number after the second is greater or equal to 5, it is rounded up to ten where the 1 is added to the second position if not it turns 0.
So 346.7812 to hundredth
= 346.78
If mzBEC = 140°, find mZFEG.
F.
G
CA
A
To
и в
B
O 80
090
50
40
Answers
Answer:
50° for angle FEG
Step-by-step explanation:
Following the Verticle Angles Theorem, the angle on the other side of 140 must also be 140. Since it is split up and we know one of them is a right angle, we must subtract 90 from 140.
140 - 90 = 50.
Thus, angle FEG is 50°.
Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answers
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
please answer this :))))
Answers
Answer:
Answer is E hope this helps :)
Step-by-step explanation:
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answers
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
Fill in the blank for this question!
Answers
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
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INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answers
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha
which of the following is a true statement 3/4> 13/16 6/7> 5/8
Answers
The statement 3/4> 13/16 is false and the statement 6/7> 5/8is true.
What is LCM?Least Common Multiple is the meaning of the acronym LCM. The smallest number that both numbers can divide by is known as the least common multiple (LCM) of two numbers. It can also be computed for two or more different numbers. There are numerous ways to calculate the LCM of a given collection of numbers. Using the prime factorization of each number and then calculating the product of the highest powers of the common prime factors yields the LCM of two integers in a short amount of time.
The first statement is:
3/4 > 13/16
Take the LCM:
12/16 > 13> 16
Comparing the numerator we see that, 12 > 13 is false. Hence, the statement is false.
The second statement is:
6/7 > 5/8
Take the LCM:
48/56 > 35/56
Comparing the numerator we see that, 48 > 35 is True.
Hence, the statement is True.
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What are the slopes to these ? Please answer
Answers
5. is slope of 0
6. is slope of -7
7. is slope of -2
8. is slope of -3/2
9. is slope of -1
10. is slope of 0 :)