Take L.H.S sin2A+sin2B/sin2A-sin2B
= sin2A+sin2B/sin2A-sin2B
Put
[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]
[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]
= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)
= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)
= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)
= tan(A+B).cot(A-B)
= tan(A+B).1/tan(A-B)
= tan(A+B)/tan(A-B)
∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)
Si mi hermano gana 589 pesos diarios si ha trabajado 15 días de este mes ¿cuánto dinero ha ganado?
Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.
En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:
[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]
[tex]x = 8835\,\$[/tex]
Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.
Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809
Which number is a factor of 15 but no a multiple of 3?
Answer: 5
Step-by-step explanation:
A sandwich costs $4.25 and a fruit drink costs $1.85. How much change will you get from a $10 bill?
Follow: Maddie Edits
Answer:
3.90
Step-by-step explanation:
4.25
+1.85=6.10
10-6.10=3.9
======================================================
Work Shown:
4.25+1.85 = 6.10
It costs $6.10 to get the sandwich and drink.
If the customer pays with a $10 bill, then they get 10.00 - 6.10 = 3.90 dollars in change.
One way to represent $3.90 is to have:
3 dollar bills = 3 dollars3 quarters = 3*25 = 75 cents1 dime = 10 cents1 nickel = 5 centsThe coins add up in value to 75+10+5 = 90 cents.
Or another option is to have 9 dimes and no other coins. Or perhaps you could have nothing but nickels and you'd need 18 nickels. There are a few ways to determine what coins to use.
pretty sure this is a joke question about south park my teacher put on my test but i dont watch south park
the question is
TRUE or FALSE
if you ever come across a physican named dr. doctor RUN!
Answer: true you should run
-1⅓ + 2⅓ what is answer
Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles
Answer:
Ig 200 miles
Step-by-step explanation:
I am guessing
PLEASE HELP RELATIONSHIPS IN TRIANGLES
Answer
TN=22
Step-by-step explanation:
You know that MT+TP+TN using the Orthocenter thereom.
what is the sum of 2/3,1/2and1/4=
Answer:
17/12
Step-by-step explanation:
In order to add fractions, you have to have a common denominator. The denominators in these fractions are 3, 2, and 4 (the bottom numbers). To get a common denominator, figure out what number all three of them can go into. Their common factor would be 12 because all three numbers go into 12.
Multiply each numerator in the fraction (the top number) by how much it takes to get from our current denominators (3,2,4) to our final denominator (12).
For example, in 2/3 we know that 3 times 4 equals 12. Multiply the top number by 4 to get 8/12.
In 1/2 we know that 2 times 6 equals 12. Multiply by 6 to get 6/12.
In 1/4 we know that 4 times 3 equals 12. Multiply by 3 to get 3/12.
Add the fractions to get 17/12.
Explain the step by step process of finding a function for a hyperbola given the center (1,4), vertices (-7,4) and (9,4), and a point on the hyperbola at (-11, -6). Make sure to include the location of the foci.
NO LINKS!!
Answer:
(x -1)²/64 -(y -4)²/80 = 1foci (-11, 4) and (13, 4)Step-by-step explanation:
The standard form of a hyperbola whose transverse axis is horizontal is ...
(x -h)²/a² -(y -k)²/b² = 1 . . . . center (h, k); transverse axis 2a; conjugate axis 2b
The distance between the two vertices is given as (9 -(-7)) = 16 = 2a, so the value of a is 8 and we have the partial equation ...
(x -1)²/8² -(y -4)²/b² = 1
Filling in the given point value gives us an equation for b².
(-11 -1)²/8² -(-6 -4)²/b² = 1
9/4 -100/b² = 1
5/4 = 100/b²
b² = 80
So, the equation is ...
(x -1)²/64 +(y -4)²/80 = 1
__
The distance between the foci is 2c, where c² = a² +b².
c² = 64 +80 = 144 = 12²
c = 12, so the foci are at ...
(x, y) = (1 ±12, 4) . . . . . . . 12 units either side of the center
The foci are (-11, 4) and (13, 4).
_____
Additional comment
The steps are ...
use the given information to fill in as much of the equation as you can.use any given points or additional information to find the unknown values in the equationdetermine any additional information asked for (foci, asymptotes, ...)The relevant relations are ...
2a = length of transverse axis (distance between vertices)
2b = length of conjugate axis (distance between co-vertices)
±b/a = slope of asymptotes, which are lines through the center
2c = distance between foci, where c² = a² +b²
The equation is (x -h)²/a² -(y -k)²/b² = 1 for a hyperbola that opens horizontally with center (h, k). Swapping variables x and y will give a hyperbola that opens vertically. If the figure opens vertically, the asymptotes will have slope ±a/b.
The distances from a point to the foci have a constant difference of 2a.
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect
In the figure, what would be represented by c^2
A the sum of the lengths of legs a + b
B the area of the rectangle with diagonal
c the length of the hypotenuse of the triangle
D the area of a square constructed on the hypotenuse
Answer:
D
Step-by-step explanation:
We can go through each answer to see if it's right
A
In a right triangle, with c opposite the right angle, we know that
a²+b² = c²
The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect
B
The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of
a²+b² = c² and this is incorrect
C
The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0
D
The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct
How much is 1/9 of 3/8 (in lowest terms)?
A)4/17
B)03/17
C)1/36
D)1/24
Answer:
1/24
Step-by-step explanation:
multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.
Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Answer:
a=0
Step-by-step explanation:
x²-2x+y²-4y-4=0
(x²-2x+1)+(y²-4y+4)-9=0
(x-1)² + (y-2)² = 3²
Center: (1,2) radius: 3
(1,2) on line 2x-y+a=0
2*1 - 2 + a = 0
a = 0
In a game, 2 players each flip a coin. I fboth land on heads, player A gets 2 points and player Bioses 1 points. Ifboth land on tails, player B gets 2 points and player A loses 1 point. Find the expected value of the game for each player.
Building a probability distribution, it is found that the expected value for both players is of 0.25 points.
The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.In this problem, the four possible outcomes, considering Player A - Player B, are:
H - H
T - H
H - T
T - T
That is, considering a success as the number of heads, the distribution is:
[tex]P(X = 0) = 0.25[/tex]
[tex]P(X = 1) = 0.5[/tex]
[tex]P(X = 2) = 0.25[/tex]
For Player A, the earnings of each outcome are: -1, 0 and 2
Hence, the expected value is:
[tex]E_A(x) = -1(0.25) + 0(0.5) + 2(0.25) = 0.25[/tex]
For Player B, the earning of each outcome are: 2, 0 and -1.
Hence:
[tex]E_B(x) = 2(0.25) + 0(0.5) - 1(0.25) = 0.25[/tex]
The expected value for both players is of 0.25 points.
You can learn about expected value at https://brainly.com/question/24855677
Select the correct answer.
What is the symbolic representation for this argument?
If a polygon has exactly three sides, then it is a triangle
Jeri drew a polygon with exactly three sides.
Therefore, Jeri drew a triangle.
Answer:
jeri drew a plgon with exatly three sides
Answer:
could you add the choices please
Step-by-step explanation:
it doesnt help without the choices
A video is getting 150000 views every 3 days how long will it take to reach 400000 views?
Answer:
It will take 8 days.
Step-by-step explanation:
Find the unit rate;
150000/3 = 50000
4000000/50000=8
8 days.
Hope this helps.
(✿◡‿◡)
can someone drop the awnser please
Answer:
b
Step-by-step explanation:
Answer: if you can choose multiple its c and d, otherwise i would just use c
Step-by-step explanation:
solve the graph fjsdjshfdkjfd
Answer:
y=-2x+3
Step-by-step explanation:
Comment if you need steps.
Pardon me I don't mean to pry I saw the tears falling from your eyes and I thought you're too pretty to not wear a smile hope you don't mind if I sit down for while
NAME THE SONG AND THE SINGER 50 POINTS!!!!!!!!!!
Answer: Jon Pardi - Tequila Little Time
Step-by-step explanation:
I don't even know what this song is, but I searched it up.
tom measured his frisbee from the center to the outside and found it to be 6 inches what is the approximate circumference of tom frisbee
Answer: 37.68 inches
A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)
So, 2πr = 2 * 3.14 * 6
2πr = 37.68 inches
Simplify Exponents and Roots
PLEASE HELPPP
ILL GIVE 5 STARS TY
Answer:
14
Step-by-step explanation:
4^2=16
16/2=8
8+6=14
Answer:
[tex]14[/tex]
Step-by-step explanation:
This equation would be easier to do if it was: [tex]6+\frac{4^2}{2}[/tex]
So first you have to cancel out: [tex]\frac{4^2}{2}[/tex] so that would become [tex]6+8[/tex]
Finally [tex]6+8=14[/tex]
There you go brainliest pls
help how do I do this!!!!
Answer:
C
Step-by-step explanation:
Since the weight is proportional to the cost, let's find the slope of the chart.
(x,y) corresponds to (weight, cost)
Pick 2 coordinate points with both the weight and cost.
(4, 23.96) (6, 35.94)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{35.94-23.96}{6-4}= 5.99[/tex]
One pound is 5.99 dollars.
So to fill in the chart, multiply 5.99 by the number of pounds.
y=5.99x
2 lbs | $11.98
3 lbs | $17.97
4 lbs | $23.96
5 lbs | $29.95
6 lbs | $35.94
With this information, C would be the correct answer.
Carl sold 32 sodas for $114 Medium sodas cost $300 and large sodas
cost $4.00 How many sodas of each size were sold?
Answer:
14 - medium sodas and 18 - large sodas
Step-by-step explanation:
x+y = 32 (the amount of medium and large sodas add up to 32)
3.00x + 4.00y = 114 (the cost of each soda = the amount of money made)
x = 32-y (isolate x and subsitiue it into the following equation)
3x+4y=114 --> 3(32-y) + 4y = 114
96 - 3y + 4y = 114
y=18
plug in 18 in to this equation x = 32-18, x=14
Please help mee!!! I really need it Thank youu!!! <3
Answer:
k < 3 should do it
Step-by-step explanation:
The Greens are moving. Their real estate agent located 79 houses listed for sale in their price range. Of those bouses listed for sale: 49 had a finished basement. 56 had a three car garage. 37 had a finished basement. How many had a finished bsement but not a three car garage?
find the solution to the following system using substitution. y = - 4 + 9 y = 3x - 5
Answer:
1/2, 11/6
Step-by-step explanation:
y=-4+9y
9y-y=4
8y=4
y=1/2
3x-5=1/2
3x=5+1/2=11/2
x=11/6
your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height y of your airplane after x seconds
Answer:
y= -5x + 25
Step-by-step explanation:
y = mx + b
m(slope) = descending 5ft/sec means the height will decrease so the slope must be negative
b(y-int) = starting height of 25 ft added
please help :,)) an explained answer would be nice but if not that's ok :)
Answer:
3.75
Step-by-step explanation:
First we need to get the numbers into decimal form
3/4 can be written into 75
So the mittens weighed 2.75
So we subtract 6.5 and 2.75
Which is 3.75
So the mitten gained 3.75 pounds
Hope this helps!
Answer:
3.75
Step-by-step explanation:
Subtract to find the difference
2 3/4 is 2.75 as a decimal
6.5 - 2.75 = 3.75
Check the answer
2.75 + 3.75 = 6.5
So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.
sir 柴米米米米 Read: Marley is buying ribbon to make bows. She buys 123 inches of green ribbon She buys 97 inches of plaid ribbon. She buys 237 inches of polka-dot ribbon. Lastly, sh buys 104.5 inches of red ribbon. How many inches of ribbon does Marley buy?
Answer:
561.5 inches
Step-by-step explanation:
You just add all the four numbers together
123+97+237+104.5=561.5