Can Someone Explain Sin Cos and Tan to me, My finals are coming up and I do not understand anything about them
Answers
Sine and cosine are the fundamental trigonometric functions associated to the sides of a right triangle and tangent is a derivate trigonometric function.
What are the sine, the cosine and the tangent of an angle?
Let be a right triangle, whose features are introduced in the figure attached below. The side with measure y is the side opposite to the angle θ, whereas the side with measure x is the side adjacent to the angle θ. The side with measure r represents the hypotenuse of the right triangle, which can be found by means of Pythagorean theorem:
r = √(x² + y²)
Trigonometric functions are trascendent functions that relates two sides of the right triangle. There are two fundamental trigonometric functions and four derivate trigonometric functions:
Fundamental
sin θ = y / r = (Opposite side) / (Hypotenuse)
cos θ = x / r = (Adjacent side) / (Hypotenuse)
Derivate
tan θ = sin θ / cos θ = y / x = (Opposite side) / (Adjacent side)
cot θ = 1 / tan θ = cos θ / sin θ = x / y = (Adjacent side) / (Opposite side)
sec θ = 1 / cos θ = r / x = (Hypotenuse) / (Adjacent side)
csc θ = 1 / sin θ = r / y = (Hypotenuse) / (Opposite side)
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Related Questions
“The sum of three and a number, divided by three, is five”
I need help again due tomorrow
Answers
Answer: The number is 12
Step-by-step explanation:
Let x= the number that is unknown
The sum of three and a "number"= 3+"x"
Divided by three, means that x+3 is divided by 3
Is five, means that (x+3)/3=5
Algebra:
[tex]\frac{x+3}{3}=5[/tex]
Multiply by 3 to arrive at x+3=15
Subtract both sides by 3, then x=12
statistical measures that communicate the most information should be used with scales that contain the most information. true false
Answers
True , statistical measures that communicate the most information should be used with scales that contain the most information.
Given :
statistical measures that communicate the most information should be used with scales that contain the most information. true or false .
we know that ,
What is statistical measures ?
The mean, median, mode, percentiles, range, variance, and standard deviation are the most commonly used numerical measures for quantitative data.
So the statistical measures that must communicate the most information should be used with scales that contain the most information for knowing the details of the given data .
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Ivan,Bella, and Ian agreed to hare a pizza which wa cut into 10 lice. Ivan at 40% of the pizza
Answers
Using the percentage writing form, we know that Ivan ate 4 pizza slices.
What are percentages?By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.
The percentage calculation formula is (value/total value)100%.
Add all percentages as numbered values, divide by the total number of sets, and you get the average percentage.
The results by 100.
So, we know that:
Ivan ate 40% of the pizza.
And the pizza was cut into 10 slices.
Rewrite the percentage value as:
4/100 = 0.4
We can calculate how many slices Ivan consumed by multiplying the percentage value by the number of slices:
10 + 0.4 = 4
Hence, Ivan ate 4 slices of pizza.
Therefore, using the percentage writing form, we know that Ivan ate 4 pizza slices.
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A line has a slope of –20/11 and passes through the point (0, –2) What is its equation in slope intercept form?
Answers
-20/11 is your slope.
So far y=-20/11x
0,-2 shows 0 is x and -2 is y
This means it passes not through the origin but through -2 on the y axis.
-2 is the intercept.
Your equation is y= - 20/11x - 2
Help Pleaseee ONLY CORRECT ANSWERSS> I WILL GIVE BRAINIEST.
Answers
Answer:
16[tex]\pi[/tex]
Step-by-step explanation:
Area = [tex]\frac{\pi r^{2} }{4}[/tex] It is only 1/4 of a circle so we have to divide by 4
a = [tex]\frac{8^{2}\pi }{4}[/tex]
a = 16[tex]\pi[/tex]
Which statements are not true and true?
statement 1: the sum of two negative integers is positive
Statement 2: the product of two negative integers is positive
Statement 3: the difference of two negative integers is positive
Statement 4: the quotient of two negative integers is positive
For both statements that are not true at all, provide one counter example for each statement that proves the statement can be false.
Answers
Answer: Statements 1, 3, and 4 are not true. The sum, difference, and quotient of two negative integers can be positive, negative, or zero, depending on the values of the two integers. For example, the sum of -5 and -7 is -12, which is a negative number. The difference of -5 and -7 is 2, which is a positive number. The quotient of -5 and -7 is -0.7142857142857143, which is a negative number.
Only statement 2 is true. The product of two negative integers is always a positive number. For example, the product of -5 and -7 is 35, which is a positive number. This is because the two negative signs "cancel out" when multiplying two numbers, resulting in a positive product.
8. Larissa plans to bake at
most 10 loaves of bread.
She makes x loaves of banana bread that sell for
$1.25 each and y loaves of nut bread that sell for
$1.50 each. She hopes to make at least $24 in sales.
Write and graph a system of inequalities for this
situation. What does the
graph show?
Answers
The system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
And the graph can be seen below, on the graph, we can see that there are no solutions.
How to write and graph a system of inequalities?So we need to start by defining the variables we will be using, these are:
x = number of loaves of banana bread.y = number of loaves of nut bread.First, we know that Larissa wants to make at most 10 loaves of bread, then we can start with the inequality:
x + y ≤ 10
We also know that each banana bread sells for $1.25 and each but bread sells for $1.50, and she wants to make at least $24, then:
x*$1.25 + y*$1.50 ≥ $24
So the system of inequalities is:
x + y ≤ 10
x*$1.25 + y*$1.50 ≥ $24
So to graph these inequalities, we need to shade the region abovce the first line:
x + y = 10
and below the second line:
1.25*x + 1.50*x = 24
The graph of that system of inequalities can be seen below. The graph shows that the system has no real solutions (only has solutions for negative values of x).
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Hi y’all i’m so lost, please help
Answers
Answer:
108
324
12
and 54
Step-by-step explanation:
0, 4
1, 12
2, 36
3, 108
4, 324
the second table is similar but instead of increasing times three, every number is doubled. to figure that out just take half of 24, which is 12, and then half of 12 is 6. therefore:
0, 6
1, 12
2, 24
3, 48
4, 96
A line passes through (−1, 5) and (1, 3).
Which answer is the equation of the line? PLEASE HELP
Answers
Find what K is in this question
Answers
Answer:
[tex]\huge\boxed{\sf k = 3}[/tex]
Step-by-step explanation:
Given that,[tex]5+6i+(-2+ki)=3+9i\\\\5 + 6i-2+ki=3+9i\\\\Combine \ like \ terms\\\\5-2+6i+ki=3+9i\\\\3+(6+k)i=3+9i\\\\Comparing \ both \ sides\\\\6 + k = 9\\\\Subtract \ 6 \ both \ sides\\\\k = 9-6\\\\k = 3\\\\\rule[225]{225}{2}[/tex]
help pretty please :)
Answers
Answer: B
Step-by-step explanation:
The price of the shirt was $38. It was reduced by 20% and then again by 10%.
Answers
Answer:$26.6
Step-by-step explanation:
Answer:
= 26.6
Step-by-step explanation:
38 * 20/100 = 38 *1/5 = 7.6
38 - 7.6 = 30.4
38 * 10/100 = 38 *1/10 = 3.8
30.4 - 3.8 = 26.6
Not understanding this question
Answers
The unknown angle in the triangle is as follows:
∠E = 100 degrees.
How to find angles in a triangle?The sum of angles in a triangle is 180 degrees.
In the diagram, BCD is cut by transversal ACE , AB and perpendicular to BCD and CE ≅ ED.
Therefore,
∠ACB = 180 - 50 - 90 (sum of angles in a triangle)
∠ACB = 180 - 140
∠ACB = 40 degrees
Therefore,
∠ACB ≅ ∠DCE
Hence,
∠DCE = 40 degrees.
Triangle CDE is an isosceles triangle since CE ≅ DE.
Hence,
∠CDE = 40 degrees
∠E = 180 - 40 - 40
∠E = 180 - 80
∠E = 100 degrees.
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Fill in the gaps to factorise this expression.
p² - 36 = (p+_) (p − −)
Answers
Answer:
Step-by-step explanation:
wait
for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
Answers
As per the concept of margin of error, the standard deviation increases as the margin of error increases.
The term margin of error is referred as the estimate of a small sample drawn from a relatively large population data.
Here the margin of error is usually governed by parameters such as standard deviation of population, sample size and desired confidence level.
Here we have given that for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
And we need to find the missing term in the statement.
Here let us consider that the following values are represented the given situation,
=> σ = Standard deviation for population
=> m = Margin of error
=> Z = Empirical value of Z-score at a given confidence level
Then the minimum sample size for a given confidence level is written as
=> (Z x σ)²/m²
Here from the above given formula it can be inferred that the minimum sample size is directly related to the population standard deviation. Therefore, the minimum sample size required would increase with the increase in population standard deviation.
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for both anorexia and bulimia, the rate of occurrence in females compared to in males is about: group of answer choices equal 10 to 1 5 to 1 2 to 1
Answers
Both Anorexia and Bulimia the rate of occurrence is high in females as compare to males so the choice is female to male ratio is 12 to 1.
Eating disorder of Anorexia nervosa and Bulimia nervosa is more common in women as compare to men due to dieting habits.Patient suffering from Bulimia nervosa eat in such a way that it implies to lose weight and prevent him ' her from weight gain.Anorexia nervosa patients used to follow restrictive diets and apply lots of restrictions in consumption of their food. Males are more into muscles making so they consume food in good quantity very less percent of males are into diet restriction .Rate of occurrence in both the case anorexia and bulimia in females sufferer is more compare to males.Correct option is ratio female to male is 12 to 1.Therefore, the rate of occurrence in females is much more than the males. Correct option is 12 to 1.
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Workers install 480 chairs at a constant rate. After 3 days, the workers still have to install 120 chairs. How much time does it take to install the chairs from start to finish?
Answers
The 480 chairs were all finished by the employees in 4 days while maintaining a steady pace.
What is time and work?Time and work deals with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.
Work Done = Time Taken × Rate of Work.
Rate of Work = 1 / Time Taken.
Time Taken = 1 / Rate of Work.
If a piece of work is done in x number of days, then the work done in one day = 1/x.
Total Work Done = Number of Days × Efficiency.
Here,
Total number of chairs=480
Chairs left to work on=120
It took them 3 days to install 360 chairs which means if they were working at a constant rate they got 120 chairs installed daily.
With 120 chairs left that means in 1 days they will finish.
So overall, it took the workers 4 days to finish.
The workers took 4 days to complete all the 480 chairs from start to finish at a constant rate.
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What is the area of AFGH?
-10 -8 -6
H
Area =
-4 -2
square units
104
-8
6
4
2
0
2
-4
-6
-8
-10
4
6
8
00
F
X
10
G
Answers
Answer:
-2 = x 4-2 square units
Step-by-step explanation:
sum = as per as chart
a pianist plans to play 3 pieces at a recital from her repertoire of 23 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. how many different recital programs are possible?
Answers
Answer:
10626 different recital programs possible
Step-by-step explanation:
Since there is no repetition we can tackle this problem in the following manner.
Out of the 23 pieces, the pianist can choose the first one in 23 ways
Out of the remaining 22 pieces she can choose the second one in 22 different ways
Out of the remaining 21 pieces she can choose the third one in 21 different ways
So total number of ways in which 3 pieces can be played without repetition is 23 x 22 x 21 = 10,626 ways
There is a formula for this kind of situation
If there are a total of n items and you want to choose r items from this, the number of possible ways to do this without repetition is given by the formula
[tex]_{n}P_{r} = \dfrac{n!}{(n-r)!}[/tex]
In this case, n = 23, r = 3 so we get
[tex]_{23}P_{3} = \dfrac{23!}{(23-3)!} = \dfrac{23!}{20!} = 23 \times 22 \times 21 = 10626[/tex]
Same as the above
50 PTS Determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent.
A. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if a leg of one triangle is congruent to a leg of the other triangle.
B. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
C. Yes, the hypotenuse-leg congruence property can be applied.
D. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the triangles are right triangles.
Answers
Reduce -15/-3 to the standard form
Answers
Answer:
5 x 10⁰
Step-by-step explanation:
-15 / -3 = 5
5 in standard form is 5 x 10⁰
Answer: 5
Step-by-step explanation:
-15/-3
negative signs cancel out each other to make positive
⇒15/3
⇒5/1
⇒5 answer.
hope that helps...
A belt connects two pulleys. Larger pulley has a radius of 60cm and the smaller pulley has a radius of 20cm. The smaller pulley runs at 48 revolutions per min
a) how many revolutions per minute does the larger pulley run at? [hint: find the circumference of each pulley]
(i got 16 rev per min i don't know if that's correct)
b) find angular speed of the smaller pulley in radians per min
c) find the angular speed of the larger pulley in radians per min
d) find the speed of the smaller pulley in cm per min
Answers
Therefore the solution to this question of 2 pulleys is )16 rpm
b)360 rad/min c)39.6 rad/min d) 7200cm/min
What is Angular speed?A pseudovector used in physics to express how quickly an object's angular position or orientation changes over time is called an angular velocity, rotational velocity, or angular frequency vector.
For the smaller pulley, it does 48 rpm (revolutions per minute) each revolution is 360 degrees. This indicates that the pulley completes one revolution every second .
radians / π = degrees / 180
radians = πx 360 / 180 = 2 π radians per second
The distance covered by both pulleys is equivalent for the larger pulley.
then d1 = d2
every second, small pulley covers a distance of 40π (small pulley circumference) = d1
d2 = 40π = 120π (large pulley circumference) x factor (f)
f = 1/3
a) the revolutions per min by larger pulley=16 rpm
b) the speed of smaller pulley = 3*2π=6π=6rad/sec=360rad/min
c) then speed of the large pulley = 1/3 * 2π = 2/3 π = 0.66 rad/sec=39.6rad/min
d)the speed of smaller pulley=7200 cm/min
Therefore the solution to this question of 2 pulleys is )16 rpm
b)360 rad/min c)39.6 rad/min d) 7200cm/min
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PLEASE HELP ILL GIVE BRAINLIEST use the similar triangles as a guild to find the slope of the line
Answers
Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
Tyshawn has a quarters and y dimes, having at most 22 coins worth no less than
$3.40 combined. At most 16 of the coins are quarters and a maximum of 6 of the
coins are dimes. Solve this system of inequalities graphically and determine one
possible solution.
Answers
Answer: To solve this system of inequalities graphically, we can plot the two inequalities on the same coordinate plane and find the region where they overlap.
First, let's consider the inequality that states that Tyshawn has at most 22 coins worth no less than $3.40 combined. We can represent this inequality as follows:
Quarters * $0.25 + Dimes * $0.10 ≥ $3.40
Next, we can consider the inequality that states that at most 16 of the coins are quarters. We can represent this inequality as follows:
Quarters ≤ 16
Finally, we can consider the inequality that states that a maximum of 6 of the coins are dimes. We can represent this inequality as follows:
Dimes ≤ 6
To solve the system of inequalities graphically, we can plot the three inequalities on the same coordinate plane and find the region where they overlap. The region where the three inequalities overlap represents all of the possible values of Quarters and Dimes that satisfy all three inequalities.
One possible solution to the system of inequalities is (Quarters = 12, Dimes = 10). This solution satisfies all three inequalities and is represented by a point within the region where the three inequalities overlap on the coordinate plane.
Select the expressions that are equivalent to 8(5q). 8 + 5g 8(5 + q) 40q (q + 5)8
I don't know what is equivalent to 8(5q) ?
Answers
Answer:
the answer is 40q
Step-by-step explanation:
8x5 is 40 when using the distributive property
how do i comeplete this equation using substitution?
Answers
The solution to the equations using the substitution method is x = - 2 and y = 0
What are the solutions?The two equations given are known as system of equations. The equations have to be solved simultaneously to determine the required values.
y = 6x + 12 equation 1
y = 4x + 8 equation 2
Equate equation 1 and equation 2 together
6x + 12 = 4x + 8
6x - 4x = 8 - 12
2x = -4
x = -4 / 2
x = -2
Substitute for x in equation 1:
y = 4(-2) + 8
y = -8 + 8
Y = 0
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Five times a number decreased by 2 is 4, find the number.
Answers
Answer: x= 6/5
Step-by-step explanation:
Let an unknown number be x
5x - 2 = 4
5x = 6
x= 6/5
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The parabola y=x^2 i reflected acro the x-axi and then caled vertically by a factor of 1/8. What i the equation of the new parabola?
Answers
The equation of the parabola will be y = -1/8[tex]x^{2}[/tex].
What is parabola?A right circular cone and a plane perpendicular to one of the cone's elements cross to form a parabola, also known as an open curve.
Y = a(x - h)2 + k or x = a(y - k)2 + h is the general equation of a parabola. The vertex is shown here as (h, k).
The parabola's y= value is provided to us.
When we mirror this parabola along the x-axis, we scale the resulting image vertically by a factor of 1/8.
Then we get y = -1/8[tex]x^{2}[/tex]
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The sales tax rate is 4.315% for the city and 4% for the state. Find the total amount paid for 2 boxes of chocolates at $17.07 each.
PLS HELP ME
Answers
Answer: $18.49
Step-by-step explanation:
First, add both the tax rate, 4.315 + 4 = 8.315%
Then take 17.07 divided by 100%, then times 8.315% = $1.42
Then add 17.07 + 1.42 = $18.49
The radius of a circle is 4.5 cm. Find the circumference
to the nearest tenth
Answers
Answer: C≈28.27cm
Step-by-step explanation:
C=2πr=2·π·4.5≈28.27433cm
Answer:
28.3 cm
Step-by-step explanation:
You want the circumference of a circle with radius 4.5 cm.
CircumferenceThe circumference of a circle is given by ...
C = 2πr
For the given circle, the circumference is ...
C = 2π(4.5 cm) = 9π cm ≈ 28.3 cm
The circumference is about 28.3 cm.
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