Here is a huge hint:
sin(3x) = 3 sin (x) - 4(sin x)^3
sec (x) = 1/sin(x)
Take it from here.
The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation -
sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)
We have the following equation -
{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)
Now, we know -
sin3x = 3 sin x - 4 sin³x
So, we can write -
(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)
sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}
(3 - 4sin²x) = 4cos²x - 1
3 + 1 = 4cos²x + 4sin²x
4 = 4(cos²x + 4sin²x)
4 = 4
1 = 1
LHS = RHS
Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.
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Write the equation of a line which has slope of 3/4 and goes through the point (0,-4). express the equation in slope intercept form. PLEASE HELP
Answer:
y=3/4x-4
Step-by-step explanation:
the y intercept is -4 and then you plug in the slope
The graph shows the student's distance in miles from the recreation center after riding the bike x minutes.
What is the domain of the function for this situation?
A. All real numbers greater than or equal to 0 and less than or equal to 28.
B. All real numbers greater than or equal to 0 and less than or equal to 9.
C.{0,4,8,12,16,20,24,28}
D.{0,1,2,3,4,5,6,7,8,9}
Answer:
A
Step-by-step explanation:
PLEASE HELP ME PLEASEEEEEE THANK YOU SO MYUCHH
Full page? In exchange for something i'll do it all.
1.
5:15
7: 21
9: 27
11: 33
2.
1: 20
2: 40
3: 60
80:160
3.
0: -25
1: -23
2: -21
3: -19
4. x = -(1/3)
5. x = 0
6. y = 16
7. y = -17
PLEASE HELP:URGENT
Ms Tyler has a rectangular patio that she would like to decorate with string lights as shown in the diagram. If she plans to string the lights around the perimeter and across both diagonals how many feet of lights will she need? (READ CAREFULLY)
A: 47 feet
B: 60 feet
C: 80 feet
D: 13 feet
Answer:
the answer is b
Step-by-step explanation:
the answer would be b because you add 12+12 then 5+5 and if you add those together it would be 34 then you would add the diagonal lines together which would be 20 so then you would add 34 plus 26 and then you would get 60 which is b
IF I'M WRONG I APOLOGIZE BUT I'M ALMOST 100% SURE THAT'S THE ANSWER
What’s -2*2/5? I got -1/5 but how do i get it out of a fraction?
Answer:
It's actually -4/5 if you are multiplying -2 times 2/5
-1/5 out of a fraction= -0.2
-4/5 out a fraction= -0.8
Step-by-step explanation:
you basically divide the numbers which turns into a decimal
Can you tell me what X=
Answer:
x = 21 degrees!
Step-by-step explanation:
3x + x + 96 = 180
4x +96 = 180
Subtract 96 from both sides!
4x = 84
Divide by 4 from both sides!
x = 21 degrees
Answer:
x=21°
Step-by-step explanation:
3x+x+96°=180°
4x=180°-96°
4x=84°
x=84°/4
x=21°
I need only one brainliest to complete my challenge so please give me a brainliest
i need more help plssss❤️❤️
Answer:
a=0."3636"
b=repeating.(explanation down below)
Step-by-step explanation:
a)decimal
=16
44
=4
11
=0."3636"
b) the decimal is repeating. the term terminating means having an end or to stop. the current decimal is repeating as it channels a continuous cycle 0.3636... hence concluding that it is repeating(or recurring)
Suppose you got these results from a survey that was taken to determine the percentage of people in a nearby city who visited a food pantry last month. (2 points)
People who visited the food pantry last month
(%) x
(#) 100
Total amount of people
in the city
(%) 150
(#) 1,000
Calculate the percentage of people who visited the food pantry last month. Be sure to show your work.
1,000 is the number of people in the city 150 is the number of people who visited the food pantry last month. what % is 150 out of 1,000. Pleas show all of your work.
Answer:
15%
Step-by-step explanation:
percentage= number of people who visited the the pantry/ the total number of people in the city *100
percentage = 150/1000 * 100
percentage= 15%
ILL MARK U BRAINLIEST!!
Answer:
plz give brainliest <3
Step-by-step explanation:
Answer:
a. Mirabeau B. Lamar
b. Sam Huston
c. Sam Huston
d. Sam Huston
Simplify the expression below: 4 + 2³ - | -4 |
Answer:
8
Step-by-step explanation:
Kevin is 5 years older than Dana. In 2 years the sum of their ages will be 59. How old is Kevin now?
Answer:
kevin is 30 now
Step-by-step explanation:
in 2 years dana will be 27 and kevin will be 32 so kevin is 30 now.
59-5=54/2=27
hope this helps:)
Answer:
Kevin is 34 years younger
A concert hall is having a special. If a group of five pays $6.75 each for tickets, each person can get a
snack for $4.25. Use the expression 5(6.75 +4.25) to find the total cost for 5 friends
Answer:55 dollars
Step-by-step explanation:
5(6.75+4.25)
5(11)
55 dollars
The value of 7 dimes and 1 nickel is
% of a dollar help
Answer:
Answer:
Step-by-step explanatinon:
percent is per hundred
4 dimes is 40 cents or $0.40 or 40/100 of a dollar which is40%
1 nickel and 3 pennies or 8 cents or $0.08 Or 8/100 or 8%
5 quarters and one dime is 135/100 or $1.35 or 135/100 which is 135%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
7 dimes and 1 nickel = 7*10 + 5 = 75 cents.
A dollar has 100 cents
75 cents * 1 dollar/100 cents * 100 =
0.75 * 100 = 75%
Select the correct answer. Which statement is necessarily true if is an altitude to the hypotenuse of right ? A. ≅ B. C. D. ∠BAC ≅ ∠BDC
Answer:
I took this test twice and got it wrong both times, the INCORRECT answers that I choose where A and D. So the correct answer has to be B or C.
Step-by-step explanation:
Please like and rate my answer if this was helpful to you! :)
This is the true statement ΔADB≅ΔBDC
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
In Δ ADB,
∠D = 90°
∠B = 90°/2 = 45°
∠A = 180° - 90° - 45° = 45°
So ΔADB is 90-45-45 triangle.
In ΔBDC,
∠ ? = 90° This is supplementary to Angle D.
∠ B = 90°/2 = 45°
∠ C = 180° - 90° - 45° = 45°
So, ΔBDC is also a 90-45-45 triangle.
Hence, ΔADB≅ΔBDC
learn more about of congruent triangles
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The question seems to be incomplete, the correct question would be :
Which statement is necessarily true if BD is an altitude to the hypotenuse of right ΔABC?
A.) ΔADB≅ΔBDC
B.) ΔADB~ΔBDC
C.) ABBC=ACBD
D.) ∠BAC≅∠BDC"
Solve t-(-5) = 9.
t =
Justify the step used to solve the equation.
Add 5 to each side.
Add 9 to each side.
O Subtract 5 from each side.
O Subtract 9 from each side.
Step-by-step explanation:
-5 will mutiply t to give 5t = 9
then divide both sides by 5
t = 9/5
Use the figure to find measures of the numbered angles
how do i find the value of x in x+7=2
Answer:
x+7=2
minus 7 from both sides so you get:
x=2-7
simplify
x=-5
Step-by-step explanation:
what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483what is 6667x2228 divided by 34394u9 and subtracted by 343 and then divided again by 2 and then subtract 333 and then multiply 439483
Answer:
it 6
Step-by-step explanation:
Answer:
I got 39061188.8
An office manager has $11,000 to spend on new equipment. He planned to purchase 400 chairs for $72 each. He completed the calculations and concluded that there would be plenty of money left to buy additional equipment. Answer problems 4–6. LOADING... Click the icon to view the calculations. 4. What does the office manager do to support his thinking? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. He does a calculation to find the cost of 400 chairs and compares the amount to $ nothing. (Type a whole number.) B. He does a calculation to find the cost of the additional equipment. C. He does a calculation to find the cost of 72 chairs. D. He does a calculation to find the difference between the cost of 400 chairs and the cost of the additional equipment and compares the amount to $ nothing. (Type a whole number.)
Answer:
A. He does a calculation to find the cost of 400 chairs and compares the amount to $11,000Step-by-step explanation:
Step one:
given data
total money =$11,000
number of chairs to be purchased= 400
cost per chair=$72
Step two:
the cost of 400 chairs will be
400*72= $28,800
there will be a deficit of
=28,800-11,000
=$17,800.
This shows that the office manager does not have enough funds for the purchase.
Hence to support his thinking,
A. He does a calculation to find the cost of 400 chairs and compares the amount to the amount he has.
3(m + 4) = 36
What is m
Answer:
m = 8
Step-by-step explanation:
Step 1: Write the equation neatly. {3 (m + 4) = 36}
Step 2: Distribute 3 to m and 4. {3 x m = 3m} {3 x 4 = 12}
Step 3: Write the new equation. {3m + 12 = 36}
Step 4: Subtract 12 from both sides. {12 - 12 = 0} {36 - 12 = 24}
Step 5: Write the new equation. {3m = 24}
Step 6: Divide 3 from both sides. {3m / 3 = m} {24 / 3 = 8}
Step 7: Write the new equation and you get your answer. {m = 8}
I need the answer asp
Answer:
x intercept are points passing through x axis having y=0
Step-by-step explanation:
slope=
[tex] \frac{16 - 9}{ - 3 - 1 } = \frac{ - 7}{4} [/tex]
slope
[tex] \frac{3 - 3}{ - 4 - 5} = 0[/tex]
What is the value for y?
Answer:
2
Step-by-step explanation:
For each 50 mm of coloured fabric Nick uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Answer:
5/1
Step-by-step explanation:
Step-by-step explanation: you just put 50/10 and divide by the common number, 5, which gets you 5/1
Help will mark and 5 stars and brainliest and THANKS
Answer:
i would say 105 and if not then its 115
Answer:
A, 105
Step-by-step explanation:
alternate exterior angles are equal to each other so divide 150 by half and you get 75, then do 180-75 and you end up with 105 because its a linear pair
the current balance in hayley's checking account is overdrawn. her current balance is -$75.34. hayley gets paid at the end of the week $185. how much money will be in hayley's account after she gets paid?
Divide 5 1/7 ÷ 2 2/5 answer in simplest form
Answer:
15/7
Step-by-step explanation:
5 1/7 = 36/7
2 2/5 = 12/5
36/7 divided by 12/5 = (Keep, Change, Flip) 36/7 * 5/12
180/84 reduces to 15/7
Hope this helped!
Also can I please have Brainliest??
i will give a thanks 5 stars and i will give you the brainliest Gwen mows 1/4 acre in 3/4 hours. what fraction is used to find the unit rate, in acres per hour?
A. 3/4
B. 1/4/3/4
C. 4/3
D. 3/4/1/4
Answer:
D
Step-by-step explanation:
y 3x + 8
(3,17) is the ordered pair a solution ? Please show work
Answer:
yes
Step-by-step explanation:
y = 3(3) + 8
y = 9 + 8
y = 17
Answer:
Yes, (3, 17) is a solution.
Step-by-step explanation:
In an ordered pair the first variable is x, and the second is y (x, y), so we can take the x and y of the given point and put it into our equation.
y=3x+8
we replace y with our given y (17)
and our x with our given x (3)
17=3(3)+8
now solve
17=9+8
17=17
Both sides are equal so yes, (3, 17) is a solution.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
PLEASE HELP SOON! ALSO INCLUDE A SMALL EXPLANATION as well as the answer ! I am rewarding 100points if you answer quickly
Answer:
the answer is B
f(x)=-2x+3
Step-by-step explanation:
to get the -2x I did --->
pick two points I used (0,3) and (1,1) and used the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
where y2 would be 1 and y1 would be 3
and where x2 would be 1 and x1 would be 0
so you would put the numbers in the equation which would look like[tex]\frac{1-3}{1-0}=\frac{-2}{1}[/tex] and equal -2 which would be -2x in the answer
And the +3 is the y-intercept
What’s the answer to this question
Answer:
3
Step-by-step explanation:
its 3 because its half of the ratio 6