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Related Questions
simplify cos(2x)/ cos(x)-sin(x)
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The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
For more information about the trigonometric function,
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Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
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Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
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Which one of the following statements is FALSE?
A)The mode is the number (or numbers) that occurs most frequently in the set.
B)The median is the middle of a set of numbers arranged in numerical order.
C)The mean is the average of all the data values.
D)Standard deviation is the difference between the largest and smallest value in the set.
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Answer:
D
Step-by-step explanation:
Measures of central tendency assist in the discovery of a data set's middle, or average. The statement that is incorrect out of the given statements is option D.
What is the measure of central tendency?Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.
Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.The range is the difference between the largest and smallest value in the set. Therefore, The statement that is incorrect out of the given statements is option D. Standard deviation is the difference between the largest and smallest value in the set.
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what is mass and solid and gas
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The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
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Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct
4 divided by 1/3=___
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
0. REINFORCE The sum of two numbers is 20. The difference between the same numbers is 48. Write this system of equations and then solve it by graphing. Be sure to sketch your graph as well as give the solution.
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Answer:
(34, -14)Step-by-step explanation:
Let the numbers be x and y.
The system based on the question is:
x + y = 20x - y = 48The solution is: (34, -14)
See the graph
Let numbers be x and y
x+y=20--(1)x-y=48--(2)Graph attached
Solution is
(34,-14)Explain is this is a right triangle using the Pythagorean Theorem
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C2= 7x7 + 10x10
C2= 49 + 100
C2 = 149
C = 12.2
I guess it’s not right
i need help ASAP!!! please
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Answer:
B
Step-by-step explanation:
side angle side
just look at the angle with the red line in the corner and for the side look at the two marks in the same spot you know its right because you only need to flip it for them to look the same
Answer:
C) KL = EF
Step-by-step explanation:
Since this is a SAS problem which is short for Side Angle Side, then that means that if 2 sides and 1 angle of a triangle are congruent to 2 sides and 1 angle of another triangle, then the 2 triangles are congruent.
In the problem given, it already shows us that sides DE and JK are congruent to each other.
As well as angles K and E.
So now all we need are 2 other sides to be congruent, which would be KL and EF.
The expression for “ 6 is added to 3 times b" can be
A. 6b + 3
B. 2( 3 + b)
C. 3(2 + 3b)
D. 3(b + 2)
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Answer:D
Step-by-step explanation: The answer would be 3b+6 and when you solve 3(b+2) you get 3b +6)
3 times b is 3b and when you add 6 it becomes 3b+6 or 3(b+2)
Answer:
A seems correct
Step-by-step explanation:
so 6 must be multiplied b times and added to 3
help now pls i need a lot of help pls help meh
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Answer:
28+36+y= 180
The value of y is 116
Step-by-step explanation:
Solve for x
|2x+1| + |3x-4| = 5
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Answer:
X=0 or x=8/5
Step-by-step explanation:
Evaluate 5 + 6x, when x is 4?
A. 29
B. 23
C. 19
D. 15
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Answer:
29
Step-by-step explanation:
Answer:
A) 29
Step-by-step explanation:
Substitute 4 for x and you can solve this
5 + 6x
5 + 6 * 4
5 + 24
29
Offering 15 points!
Evaluate.
[tex]\sqrt[3]{-1}[/tex]
a. 1
b. -3
c. undefined
d. -1
The screenshot shows the question, if anyone could help me with this I would be very grateful!
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Answer:
its -1 since the equation is all real numbers
Answer:
Your answer is -1.
Step-by-step explanation:
Sorry I don’t get this please help
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Answer:
9 Patients
Step-by-step explanation:
The median is the middle value of all of the selected numbers
4, 5, 7, 9, 11, 12, 17.
Answer:
9 patient
Step-by-step explanation:
Arrange numbers from smallest to largest. Then, Pick the middle one. That's your answer.
i need help fast please
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Answer:
40/30
Step-by-step explanation:
[tex]tan = opposite/adjacent[/tex]
[tex]tan\ \angle Z = \frac{40}{30}[/tex]
Given that line q has the following points (5,-2) and (2, 1). Write an
equation of a line perpendicular to line q in slope intercept form that goes
through the point (4, -2).
y = mx + b
m =
b =
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Answer:
equation of a straight line in slope intercept form is x+y-2=0
Step-by-step explanation:
Pls Help!! I'll MARK YOU BRAINLIEST but please explain
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Answer:
x<16
it's the last one
Step-by-step explanation:
Multiply both sides of the inequality by
then move the constant to the right hand side and
change it's sign and
subtract by four
Find a.
Write your answer in simplest radical form.
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Answer:
[tex]a=10[/tex]
Step-by-step explanation:
This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.
Special Right Triangles:
In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]
Triangle ABC is translated 5 units to the right and 2 units up. Match the correct
length with the corresponding side after the translation.
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Step-by-step explanation:
A'B' = 5
B'C' = 6
A'C'= 2
in translation, the length of sides do not change
Considere as seguintes afirmações: I. O inverso de 0,2 é 5. II. O triplo de \frac{2}{5} é \frac{6}{15}. III. A metade de 0,5 é \frac{1}{4}. É(são) verdadeira(s) a(s) afirmação(ões): Apenas a I; I e III; Apenas a III; I, II e III;
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Answer:
I e III
Step-by-step explanation:
Recebemos declarações na questão acima para considerar.
Declaração I. O inverso de 0,2 é 5.
Matematicamente, isso é escrito como:
1 / 0,2
0,2 = 2/10
Portanto: 1 ÷ 2/10 = 1 × 10/2
= 5
Afirmação 1 é verdadeira
Declaração II.
O triplo de 2/5 é 6/15.
Triplo de 2/5 = 2/5 + 2/5 + 2/5
= 2 + 2 + 2/5
= 6/5
= 1 1/5
Declaração II é falsa
III. A metade de 0,5 é 1/5
1/2 de 0,5
= 1/2 × 0,5 = 0,25
Convertendo em fração
= 0,25 = 25/100
= 1/4
Declaração III está correta
Portanto, as afirmações verdadeiras são I e III
given sin(theta)= 12/13 in quadrant 1 determine sec(theta) PLS HELP ASAP
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Answer:
Step-by-step explanation:
in quadrant 1 cos and sec are positive.
cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13
secθ=13/5
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
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Answer: 6.8 inches
Step-by-step explanation:
Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wrestler entered The total cost 1013 in a wrestling tournament can be represented by the equation F=5w+75 where f is the total fee and w is the number of wrestlers entered
Answers
Answer:
188 wrestlers
Step-by-step explanation:
Given
[tex]F =5w + 75[/tex]
[tex]F = 1013[/tex]
Required
Determine the number of wrestlers (w)
We have:
[tex]F =5w + 75[/tex]
Substitute: [tex]F = 1013[/tex]
[tex]1013 = 5w + 75[/tex]
Collect like terms
[tex]5w = 1013 - 75[/tex]
[tex]5w = 938[/tex]
Divide both sides by 5
[tex]w = 187.6[/tex]
Round up to get the number of wrestlers
[tex]w = 188[/tex]
I’ll give brainly
Find the indicated side of the triangle.
10
b
45°
а
b =
[?]
=
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Answer:
take 45 degree as reference angle
use sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=b/10(do cross multiplication)
b[tex]\sqrt{2}[/tex]=10
b=10/[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Find the measure of x in each figure
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Step-by-step explanation:
40+2x=90°(given in question)2x=90-40x=50/2x=25°stay safe healthy and happy...HEY could one some help me , I will give BRAINLEST
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Since, I did it on my unit exam, for finals
Find the slant height l of the cone given the surface area S.
S=126π cm²
The slant height is
centimeters.
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9514 1404 393
Answer:
15 cm
Step-by-step explanation:
The formula for the surface area of the cone is ...
A = πr² +πrL = πr(r +L)
The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...
126π cm² = π(6 cm)(6 cm +L)
21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm
15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm
The slant height is 15 centimeters.
What is the mean of this set of numbers?
12, 33, 19, 26, 24, 30
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28Million rouned to the nearst 10
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Answer:
Exactly 28million
Step-by-step explanation: