Using the ratios for each of the six trig functions, we can now compute the value of each trig function for any angle. A triangle with one angle of 90 degrees, called a right triangle, can be used to help find the trig ratios for angles from 0 to 90 degrees.
Using the ratios for each of the six trig functions, we can now compute the value of each trig function for any angle. A triangle with one angle of 90 degrees, called a right triangle, can be used to help find the trig ratios for angles from 0 to 90 degrees. The trig ratios relate the angles of a triangle to the ratios of its sides. In particular, sin is the ratio of the opposite side to the hypotenuse, cos is the ratio of the adjacent side to the hypotenuse, and tan is the ratio of the opposite side to the adjacent side. Thus, for the example given, sin() = 2/5, since the opposite side has length 2 and the hypotenuse has length 5.
Similarly, cos() = 5/13 and tan() = 2/5.
The reciprocal functions are also defined, such as csc(), sec(), and cot(). These functions are the inverse of sin(), cos(), and tan(), respectively, and can be used to find the angle when given the ratio of two sides. The trig functions are useful in many areas of mathematics and science, including geometry, calculus, and physics. In summary, the trig ratios for a right triangle with one angle of 90 degrees can be used to find the values of each trig function for any angle, and this can be done using a particular triangle.
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What are the coordinates of quadrilateral A’ B’ C’ D’?
Answer:
RIP Juice WRLD
Step-by-step explanation:
what is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m
Step-by-step explanation:
35
Solve 2x>8 or 2x<4
Please hurry
Answer: x>4 and then x<2
Step-by-step explanation: divide by 2 on both sides
Answer:
x = 5
Step-by-step explanation:
2 * 5 = 10 which is greater than 8
10 > 8
what does statistical significance mean with regard to the association between two variables?
Statistical significance refers to the likelihood that the association between two variables is not due to chance alone. In other words, it is a measure of the probability that the observed relationship between two variables is real and not just a result of random variation or sampling error.
When analyzing data, researchers often use statistical tests to determine whether there is a significant association between two variables. A p-value is calculated, which represents the probability that the observed relationship between the variables is due to chance. If the p-value is less than a predetermined threshold (usually 0.05), the results are considered statistically significant, and the researchers can conclude that there is a real association between the variables. It's important to note that statistical significance does not necessarily imply practical significance. Just because a relationship is statistically significant does not mean that it is important or meaningful in real-world terms. Additionally, statistical significance only tells us about the strength of the relationship between two variables, not about causation or directionality. Therefore, it is always important to interpret statistical significance in the broader context of the research question and study design.
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Jack and Jill each scored 177 marks for their English and Maths exams. Both of their Maths marks add up to 153, what was the sum of their English marks?
Answer:
201
Step-by-step explanation:
177 times 2=354
354-153=201
the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
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700,000,000+10,000,000+1,000,000+100,000+40,000+2,000+200+7 write the standard form above
Answer:
712,402,207
Step-by-step explanation:
;)
Answer: 711,142,207
Step-by-step explanation:
I need help with math identify the vertex of the parabola
The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).
In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.
Then, we can write the coordinates of the vertex as (h,k) = (-1,3)
Answer: The coordinates of the vertex are (-1,3)
if p(x,3), q(7,-1) and pq=5 units find the possible value of x
Answer:
the possible values of x are:
x = 7 + √21
x = 7 - √21
Step-by-step explanation:
To find the possible value of x, we need to calculate the distance between points P(x, 3) and Q(7, -1) using the distance formula:
d(PQ) = √((x - 7)² + (3 - (-1))²) = 5
Simplifying the equation:
d(PQ) = √((x - 7)² + 4) = 5
Squaring both sides of the equation:
(x - 7)² + 4 = 25
Expanding the equation:
(x - 7)² = 25 - 4
(x - 7)² = 21
Taking the square root of both sides:
x - 7 = ±√21
Now we can solve for x:
x = 7 ± √21
Can someone please solve this
Answer:
20
Step-by-step explanation:
a c will have the same angle as b d
3. Calculate the following: a) 5-9 d) 8-8 g) -1 + 12 j) -12 + 12 m) -2 +4+3 p) -4-3+2-1 4. Calculate the following: a) 3+ -2 d) −5+-2 al 2−−3+-4 mo b) 2 + 7 e) −2+5 h)-8-22 k) 2+4-3 n) -2+4-3 193 b)-4--56/t e) 8-+3 h) | +-2--3
The arithmetic expressions are solved and answered below -
5 - 9 = - 4
8 - 8 = 0
- 1 + 12 = 11
- 12 + 12 = 0
- 2 + 4 + 3 = 5
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
What are algebraic expressions?In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -
2x + 4y + 5z
4y + 2x
Given are the expressions as given in the questions.
{a} -
5 - 9 = - 4
{b} -
8 - 8 = 0
{c} -
- 1 + 12 = 11
{d} -
- 12 + 12 = 0
{e} -
- 2 + 4 + 3
5
{f} -
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
Therefore, the arithmetic expressions are solved and answered below -
5 - 9 = - 4
8 - 8 = 0
- 1 + 12 = 11
- 12 + 12 = 0
- 2 + 4 + 3 = 5
- 4 + 3 + 2 - 1 = - 2 + 2 = 0
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{Complete question -
Calculate the following:
a) 5-9
b) 8-8
c) -1 + 12
d) -12 + 12
e) -2 +4+3
f) -4-3+2-1}
help me pls need help
Answer:
9s+11
Step-by-step explanation:
Combine like terms → (7s+2s and 2+9 = 9s and 11) and boom
Answer:
\(9s + 11\)
Step-by-step explanation:
First:
\(7s - 2s \\ = 9s\)
second:
\(9 + 2 \\ = 11\)
What is the initial amount in the function y = 15 * 3x ?
Answer:
y + 5 = x
Step-by-step explanation:
y= 15 * 3x
Subtract 15 on both sides
y - 15 = 3x
Divide 3 on both sides
y + 5 = x
(I hope this helps and sorry if i'm wrong)
WHICH ONE !!
A. 3
B. -3/4
C. -1
D. 3/4
We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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sqrt2+sqrt2/sqrt2-sqrt5 what is the simplest form of the radical expression
Answer:
- (4+2sqrt10)/3
Step-by-step explanation:
The only reason this problem needs to be worked on is that you can't have a radical on the bottom of a fraction(rational expression) . We'll use the CONJUGATE of the denominator(expression on the bottom) to get rid of the radicals.
The conjugate has the same terms as the bottom expression, but it has the OPPOSITE sign in between. Your question has
(root2 - root5). Then the CONJUGATE is
(root2 + root5).
We can't just randomly change the denominator of a number, so we will have to multiply the top by
(root2 + root5) also.
see image.
Multiplying these terms is very similar to multiplying binomials. Use distributive property or, if you know the method, FOIL. You may have learned a box method. This multplication is shown with the arrows in the attached image.
see image.
Follow the steps to find the product of and 0.55.
Estimate the product of and 0.55.
1/4-
Convert the decimal 0.55 to a fraction.
V55/100
What is the product of the two numbers?
X 110/150 or 11/15
110/300 or 11/30
77/103
1) Estimate value of the product of 2/3 and 0.55 is, 2/3.
2) The fraction part is, 55 / 100
3) The product of the two numbers is, 11/30
We have to given that,
Estimate the product of 2/3 and 0.55.
And, Convert the decimal 0.55 to a fraction.
And, The product of the two numbers.
Now,
Estimate the product of 2/3 and 0.55,
So, we can round 0.55 to the nearest whole number, which is 1.
Then, multiply 2/3 by 1 to get an estimate of the product.
so, The correct answer is 2/3.
Now, we can convert the decimal 0.55 to a fraction,
= 0.55
= 55/100
= 11/20
Thus, The correct answer is, 55/100.
And, the product of 2/3 and 0.55,
= 2/3 x 55/100
= 110/300
= 11/30.
Hence, The correct answer is, 110/300 or 11/30
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Write down one prime number that lies between each of the following pairs of numbers: a) 45 and 55 b) 62 and 72
==============================================
Remember, prime numbers have only 2 factors: 1 & themselves.
For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)
Now, write down some primes.
1) between 45 and 55
- 47
- it's only divisible by 1 and itself, so it IS prime
2) 62 and 72
67, because it is divisible by 1 and itself only.
====================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
8. Translate the expression: Five times a number z decreased by 13
Answer:
5z-13
Step-by-step explanation:
It states "five times a number z" which gives us 5z. It then says "decreased by 13" which gives us -13. Now we combine both of them together and get 5z-13.
all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
The answer to the given question after considering the two options is true under the condition all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
Probability is also known as the estimation of possible changes of a particular event taking place. Furthermore, it is important while dealing with calculations in the branch of science and mathematics. It is useful in eliminating the total changes of systematic errors, which are hampering the research population.
Some examples of probability
The probability on the event of rolling a 4 with a die is 1/6.
The probability of getting a tails while tossing a coin is 1/2.
The probability of getting one joker from a deck of cards is 1/51.
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The complete question is
All probabilities can be expressed as decimal values ranging from 0.00 to 1.00. True or False
Yes, it is true that all probabilities can be expressed as decimal values ranging from 0.00 to 1.00.
This is because probabilities represent the likelihood of an event occurring, and the probability of an event can range from impossible (0.00) to certain (1.00). Therefore, probabilities are expressed as decimal values between these two extremes.
Hi! Yes, all probabilities can be expressed as decimal values ranging from 0.00 to 1.00. A probability of 0.00 represents an impossible event, while a probability of 1.00 represents a certain event. Values between these two extremes indicate varying levels of likelihood for the event to occur.
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(1 point) evaluate the line integral ∫cf⋅d r where f=⟨−4sinx,5cosy,10xz⟩ and c is the path given by r(t)=(t3,t2,−2t) for 0≤t≤1
We are given a path c, and a vector field f. The path c is defined by r(t) = (t³, t², -2t) for 0 ≤ t ≤ 1. The vector field f = (-4sin x, 5cos y, 10xz). We are required to evaluate the line integral ∫cf ⋅ dr using the given information.To evaluate the line integral, we use the following formula:∫cf ⋅ dr = ∫abf(r(t)) ⋅ r'(t) dt.
Here, we can see that r(t) is already in vector form, so we don't need to convert it. We just need to find r'(t).Differentiating r(t) with respect to t, we get:r'(t) = (3t², 2t, -2)Substituting the given values of f and r'(t), we get:∫cf ⋅ dr = ∫₀¹ (-4sin t³, 5cos t², -20t³) ⋅ (3t², 2t, -2) dt= ∫₀¹ (-12t⁴ sin t³ + 10t cos t² - 20t⁴) dt= (-3t⁴ cos t³ + 5t³ sin t² - 5t⁵) from 0 to 1= -3 cos 1 + 5 sin 1 - 5The final answer is -3 cos 1 + 5 sin 1 - 5.
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-4(x2 + 5) +30 -1=-13
Solve for x
Answer:
x = 11/4
Step-by-step explanation:
-8x - 20 +30 -1 +13 = 0
x = 11/4
Can somebody tell me the Domain and range for this problem?? Thanks
Answer:
Domain:
( − ∞ , − 2 ) ∪ ( − 2 , ∞ ) , { x | x ≠ − 2 }
Range:
( − ∞ , 1 )∪ ( 1 , ∞ ) ,{ y | y ≠ 1 }
Step-by-step explanation:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
what is the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each?
2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or the probability that a statement is true.Probability varies between zero and 1, wherein zero approaches are not possible and 1 approach is certain.Now, calculate the probability as follows:
There are 4 kings and 4 queens in a deck of cards.Then, it can be either KK or QQ.
Select 2 kings from 4 king cards that can be done in 4c₂=6 ways.Select 2 queens from 4 queen cards that can be done in c₂ = 6 ways.Total ways = 52c₂ = 1326So required probability = 2king or 2 queen
= 6/1326 + 6/1326= 12/1326= 2/221Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.
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Necesito un problema para esta ecuación
(m) (m-2) =48
Answer:
m = 8
Step-by-step explanation:
Which of the following is an arithmetic sequence? –20, –25, –30, –35, –45,. –15. 6, –12. 9, –10. 2, –7. 5, –4. 8,. 3. 1, 6. 2, 12. 4, 24. 8, 49. 6,. 7. 2, 3. 6, 1. 8, 0. 9, 0. 45,.
Answer:
-20,-25,-30,-35,-40
Step-by-step explanation:
because the difference is by subtracting 5
(-5)
use polar coordinates to find the volume of the given solid. inside the sphere x2 y2 z2 = 16 and outside the cylinder x2 y2 = 9 incorrect: your answer is incorrect.
The region inside the cylinder with the radial distance r must range from 3 to √(16 - z²).
In polar coordinates, we express points in terms of a radial distance (r) and an angle (θ). To find the volume of the solid, we need to determine the limits of integration for r, θ, and z.
The equation of the sphere x² + y² + z² = 16 can be expressed in polar form as r² + z² = 16. This implies that the radial distance r ranges from 0 to √(16 - z²). The angle θ spans from 0 to 2π, representing a complete revolution around the z-axis. The height z ranges from -4 to 4, as the sphere extends from -4 to 4 along the z-axis.
The equation of the cylinder x² + y² = 9 translates to r = 3 in polar form. However, we need to exclude the region inside the cylinder. Therefore, the radial distance r must range from 3 to √(16 - z²).
To find the volume, we integrate the expression r dz dθ dr over the given limits of integration. The volume is calculated by evaluating the triple integral using the appropriate limits.
It is important to note that without further information about the region of interest, such as any boundaries or additional constraints, a more precise volume calculation cannot be provided.
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How many different prime factors are in the prime factorization of 117*119?.
Answer:
4
Step-by-step explanation:
3, 13, 7, and 17
Is the function below continuous? If not, determine the x values where it is discontinuous. -x²-2x-1 if f (2) = { x≤-4 if -4
The function f(x) = -x²-2x-1 is continuous for all values of x except for the x values that make the function undefined or create a jump or hole in the graph. To determine if the function is continuous at a specific point, we need to check if the function's limit exists at that point and if the value of the function at that point matches the limit.
In this case, the given information is incomplete. The function is defined as f(x) = -x²-2x-1, but there is no information about the value of f(2) or the behavior of the function for x ≤ -4. Without this information, we cannot determine if the function is continuous or identify any specific x values where it may be discontinuous.
To fully analyze the continuity of the function, we would need additional information or a complete definition of the function for all x values.
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-4.3 + x equals 0 selected place on the number line to positive value of x
Answer:
x is equal to 4.3
Step-by-step explanation:
since it's -4.3 + x is equal to 0
you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3