Simplify and write the trigonometric expression in terms of sine and cosine:
tan u + cot u = 1/f(u)
Answer:
we have the expression as;
1/sin u cos u
Step-by-step explanation:
tan u = sin u/cos u
cot u = cos u/sin u
Thus;
sin u/cos u + cos u/sin u
The lcm is sin u cos u
Thus, we have that;
(sin^2 u + cos^2 u)/sin u cos u
But ; sin^2 u + cos^2 u = 1
so we have ;
1/sin u cos u
The requested trigonometric expression in terms of sine and cosine is;
[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]
Trigonometric expressions:We must remember,
tan u = sin(u)/cos(u)and cot u = cos(u)/sin(u).Therefore we have;
sin(u)/cos(u) + cos(u)/sin(u) = 1/f(u)
By Cross-product; we have;
[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]
Therefore, the required function, f(u) in terms of sin u and cos u is as represented above.
Read more on trigonometry;
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You want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
18 arrows
3 bows
162 arrows
? bows
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answer:
414
Step-by-step explanation:
414 divided by 18 is 23
414 is a palindrome
414 is one less than 5
Which expression is equal to the expression below?
(7•2)^7
please help me on this will give you brainliest!!
Answer:
The measure of angle 6 is 72.
The measure of angle 7 is 108.
Step-by-step explanation:
Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.
If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.
Plz help!!
What is the value of x when f(x)=20? What does this mean in context?
Answer:
It means that x = 20
Step-by-step explanation:
NEED ASAP 7TH GRADE MATH
A scale drawing of a billboard uses the scale 4 cm :11 ft. The length of the billboard in the drawing is 15 cm. How long is the actual billboard?
Answer:
24.75 ft
Step-by-step explanation:
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters. In parallelogram RSTU, what is SU? 10 m 13 m 23 m 26 m
Answer:
26m
Step-by-step explanation:
The diagonals of a parallelogram bisects each other. Hence the length of UV is equal to the length of VS
UV = VS
x+3 = 2x-7
x-2x = -7-3
-x = -10
x = 10
Get SU
SU = UV+VS
SU = x+3+2x-7
SU = 3x-4
Substitute x=10 into the expression
SU = 3(10)-4
SU = 30-4
SU = 26m
Length of SU is 26m
Answer:
26m i just did it on edg
Step-by-step explanation:
A fitness center opens to provide exercise opportunities for a community. The fitness
center charges customers a $35.95 monthly fee plus a one-time $125 administration fee.
What is the total cost of a 12-month membership at the fitness center?
7(2а - 3) - 5a = -3
please show the work
Answer:
a = 2
Step-by-step explanation:
14a - 21 - 5a = -3
9a - 21 = -3
9a = -3 + 21
9a = 18
a = 2
Simplify each expression by using the distributive property and combining like terms. 3 (2x - 4) - 4x
Given:
The expression is
[tex]3(2x-4)-4x[/tex]
To find:
The simplified form of the given expression by using the distributive property and combining like terms.
Solution:
We have,
[tex]3(2x-4)-4x[/tex]
Using the distributive property, we get
[tex]=3(2x)+3(-4)-4x[/tex]
[tex]=6x-12-4x[/tex]
On combining like terms, we get
[tex]=(6x-4x)-12[/tex]
[tex]=2x-12[/tex]
Therefore, the simplified form of the given expression is [tex]2x-12[/tex].
simplify -z + 17x ??
Answer:
Step-by-step explanation:
This expression has two terms. They have nothing in common, so we cannot factor. We could write it at 17x - z.
Was there more to this problem?
Match each of the equations with their corresponding graph
Write an inequality that represents the graph. Please help me.
Answer:
y > 1/2x + 2
Step-by-step explanation:
2.5(4p-16) simplified
Answer:
10p-40 = 10(p-4) this is the answer of this question
True or False: An equation to find Circumference is C = πr2
Answer:
False
Step-by-step explanation:
It's actually C=πd d is diameter or C=πr^2
Answer:
True
Step-by-step explanation: Calculate circumference from area
We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.
Solve for x
Pls help I need this for study guide
Answer:
your study guide can be stuck up you know where :3
how to do expected frequency for chi^2 goodness fit test
Step-by-step explanation:
So basically you're going to start with your (expected value - observed value) squared
(O-E)²
You're then gonna divide that by your expected value that you just used
(O-E)²/E
The ratio of dogs to cats in the Bark and Meow Pet Center is 4:7. If there are 35 cats staying at the Bark and Meow Pet Center, how many dogs are staying at the pet center?
Answer:
20.
Step-by-step explanation:
5x7=35
5x4=20
Step-by-step explanation:
answer:20
good work :))
100 POINTS PLEASE HELP I BEG YOU ONLY ANSWER IF YOU ANSWER ALL THE QUESTIONS
a) Maximum: 10
b) Minimum: - 2
To determine the amplitude we first recognize the midline, so I will answer part d first,
d) We have our maximum as 10, and our minimum as - 2. The midline, by it's name, is a line that divides the graph in half. What we do is determine the average of 10 and - 2 => 10 - 2/2 = 8/2 = 4
Midline: y = 4
Now I will go back to part c,
c) The amplitude would be 6. We take the difference between the maximum and the midline, or the minimum and the midline.
e) Period => The difference between two respective points on the graph
=> 3π/2 - π/2 = π, Period = π
f) We know that the period = π...
2π/b = π, b = 2π/π = 2
Vertical Shift => up 4
Equation: f(x) = 6cos(2x) + 4
x is a positive integer.
33 = x is a positive integer.
Work out the four possible values of x, writing your values in ascending order.
Answer:
Four possible values of x: 10, 3, 20, 31
Writing it in ascending order : 3, 10, 20, 31, 33
Step-by-step explanation:
Because x is a positive integers it means that x could be any number that goes from zero to infinity.
The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer ; ....-2 , -1 , 0 , 1 , 2 , .....
Given the expression, 33/x
Now positive integers are whole numbers ( 1,2,3,...)
To 33/x be the whole number and x is also a positive integer.
33/1 = 33 (1,3 Positive integer)
33/3 = 11 (3,11 Positive integer)
33/11 = 3 (11,3 Positive integer)
33/33 = 1 (33,1 Positive integer)
Hence "The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33".
To learn more about integers,
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Given question is incorrect the correct question follows ;
33 / x is a positive integer. Work out the four possible values of x, writing your values in ascending order.
para hacer un postre Carolina necesita 8 ingredientes para el segundo postre necesita 6 ingredientes de los cuáles 4 también entran en el primer postre¿cuántos ingredientes diferente necesita para hacer los dos postre ?
Answer:
ocupa 10 ingredientes diferentes
Answer:
ocupa 10 ingredientes diferentes
What is the product of 45.23 and 7.4?
Riley collects rainwater in a large barrel that weighs 15 pounds. When there are 8 gallons of water in the barrel, the total weight is 73.8 pounds. When there is 20 gallons of water in the barrel, the total weight is 162 pounds. Write the equation that models this situation in slope intercept form.
179 pounds
Step-by-step explanation:
yan po makatulong po yan thank you
Question 2
Tahlia solved the equation 5 - 56 -0 by factoring.
Part A: Select the factors of ?-56
(x-7)
(+7)
(x-4)
(+14)
(X-8)
(x+8)
(x+4)
(x-14)
Answer:
The factors are: (x - 8) and (x + 7)
Step-by-step explanation:
Given
[tex]x^2 - x - 56 = 0[/tex] -- the right equation
Required
Select the factors of the equation
[tex]x^2 - x - 56 = 0[/tex]
Expand the equation
[tex]x^2 + 7x - 8x - 56 = 0[/tex]
Factorize:
[tex]x(x+7)-8(x+7) =0[/tex]
Factor out x + 7
[tex](x-8)(x+7) =0[/tex]
Hence, the factors are: (x - 8) and (x + 7)
What is the answer to a + b =
Answer:
a + b
Step-by-step explanation:
Answer:
a+b=ab
Step-by-step explanation:
you have to combine the two variables and multiply them by phi then divide by gamma
What comes next!T,F,S,S,M
Answer:
E,D
Step-by-step explanation:
NEED HELP ASAP PLEASE HELP PROVIDE EVIDENCE HOW IT IS CORRECT
Answer:
1204 in²
Step-by-step explanation:
To find the area of a trapezoid, use the following formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First add the two bases together: 46 + 40 = 86. Now divide that by 2: 86/2 = 43. Now multiply this by the height (28): 43 x 28 = 1204. This is your area: 1204 in².
Hope it helps!
Answer:
1204
Step-by-step explanation:
1rst add the top numbers then divide it by 2. Then with the answer you have, multiply it by the height. Hope it helps! =D
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Choose Yes or No to tell if each pair of expressions is equivalent..