Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
make me as brain liest
A hot air balloon ascended at the rate of
400 feet per hour for 3 hours and 15
minutes. What was the total distance that
the balloon ascended?
Answer: the answer is 1300 hope this helps you
Step-by-step explanation:
Is y=1/4x a function
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
What is the opposite of negative 21 or -21 ?
Answer:
21
Step-by-step explanation:
because on a table, -21 and 21 are lined up together.
Simplify the expression. (6x+1/2)+(3x-3 1/2)
Answer:
Have a Spoopy Halloween lol its 9x-3
Step-by-step explanation:
(6x+1/2)+(3x-3 1/2)
= 6x+3x-3 1/2+1/2
= 9x-3
Answer:
[tex]9x - \frac{6}{2} [/tex]
Step-by-step explanation:
[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]
♨Rage♨
Simplify the expression.
7/4÷(3/2)
7/4 ÷ (3/2)
=7/4 × (2/3)
=(7×2)/(4×3)
=14/12
=(14÷2)/(12÷2)
=7/6
=1 1/6
11) What is the y-intercept of the function that passes through the given
coordinates: f(12)=2 and f(15)=3,
Answer:
The y-intercept is -2
Step-by-step explanation:
Here, we want to find the y-intercept of the function that passes through the given points
The first thing to do here is to get the coordinates of the needed point;
That would be ; (12,2) and (15,3)
It is just like writing f(x) = a ; x would
be x-value while a will be the y-value
The equation of the line passing through the points will be
y = mx + b
where b represents the y-intercept
Let us start by looking at the slope m
m = (y2-y1)/(x2-x1)
m = (3-2)/(15-12) = 1/3
So the line would be;
y = x/3 + b
now to get b, select any of the points, input the x value and the y value
2 = 12/3 + b
2 = 4 + b
b = 2-4
b = -2
1. ROTATE THE TRIANGLE A(3, 2) B(5,2)C(4,4) 90 DEGREES ABOUT POINT (-4, 2)
(20 Points)
A(-4, 9) B(2, 3) C(5,7)
A(3, 1) B(3, 3) C(7.9)
A(-4, 9) B(-4, 11) C(-6, 10)
Answer:
A (-4,9) B (-4,11) C (-6,10)
Last option is correct
Step-by-step explanation:
To rotate the vertices about the given point at 90 degrees, we follow the procedures below;
Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;
( -(n-y) + x , (m-x) + y)
Let’s now take the points individually;
(3,2 ) about (-4,2)
This becomes
(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)
The point (5,2) about (-4,2) becomes
(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)
and lastly
The point (4,4) about (-4,2) becomes
(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)
I really need help with this
Answer:
Did this help??
Step-by-step explanation:
a.) 5x = m
5x = you and four friends.
m = money for food
b.) Plug in
5(5.25) = m
26.25 = m
Please Help, this is 20pts worth it.. Please Don’t waste my points.. please help..
Answer:
1. 7+62+5+4
2. 18+62+5
3.15+4+1
4.5 families
6. three
Step-by-step explanation:
Which is the graph of the equation y-1=2/3(x-3)?
Answer:
The second graph ( one with the coordinates (3,1) and (6,3))
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
Suppose at age 22 mort starts investing 200$ at the end of each month into a savings plan with an apr of 2.9% and he continues to do so through the next 43 years ( planning to retire at age 65). How much will be in his savigns plan towards retirement? How much of his balance was from the interested loans
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly Payment (PMT) = 200 at the end of each period
interest rate = 2.9% = 0.029/12 = 0.0024166
Period (n) = 43 years x 12 = 516
Using the future value(FV) of an ordinary annuity:
FV = PMT[(1 + r)^n - 1] / r
FV = 200[(1 + 0.0024166)^516 - 1] / 0.0024166
FV = 200[(1.0024166)^516 - 1] / 0.0024166
FV = 200(2.4745372) / 0.0024166
FV = 204,794.93
Amount which will be in saving plan towards retirement = $204,794.93
Interest amount :
$204,794.93 - total monthly deposits
$204,794.93 - (200 * 516)
$204,794.93 - $103,200
= $101,594.93
what your expect to gen.math subject
A container of coffee is 1/6 full. The container contains 2/3 a pound of coffee. a. Write a division expression that represents the capacity of the container. b.Write a multiplication expression that represents the capacity of the container. c.Find the capacity of the container.
Answer:
(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]
(c) 4 pounds
Step-by-step explanation:
Let the capacity of the container is [tex]x[/tex].
The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.
So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e
[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]
(a) From the equation (i), the required division expression for the capacity of the box, x, is
[tex]x= \frac 2 3\div \frac 1 6[/tex]
(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is
[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]
(c) From equation (ii), the capacity of the box is
[tex]x= \frac 2 3\times 6= 4[/tex] pounds.
2 pts
Question 4
Find the value of each expression. Round decimals to the nearest hundredth if
necessary.
7+8x8-4
5-3(7-5)
Answer:
67 and -1
Step-by-step explanation:
You always multiply first so its 7+64-4 and that becomes 67
You have to distribute first so the problem would be 5-21+15 which is -1
4 The scale drawing represents the aerial view of a building. The actual building has
a perimeter of 48 m. Draw another scale drawing of the building using the scale
2 m to 1 unit length from the building to the drawing,
Answer:
Step-by-step explanation:
HELP GIVING OUT BRAINLIEST WHOEVER'S FIRST!!!!
Answer:
30
Step-by-step explanation:
2x^3+3y-4
2(2)^3+3(6)-4
2(8)+18-4
16+18-4
30
2(8)+3(6)-4
16+18-4
30
PLEASE HELP ME, IVE BEEN IGNORED FOR THE PAST 30 MINUTES AND THE ONLY PEOPLE WHO DO ANSWER ARE FAKE PEOPLE WITH WRONG ANSWERS. (IMAGE IN THE QUESTION)
Given the data in the table, complete the sentence.
Using a line of best fit for this data to predict the value of y when x = 10 is an example of
A. Interpolation
B. Extrapolation
C. Correlation
D. Causation
Answer:
isnt that extrapolation?
Step-by-step explanation:
What’s 4 divided by 3.3
Answer:
it is 1.21repeated hope this helps
ANSWER FAST What is an equation of the line that passes through the point (1,3) and is perpendicular to the line x+3y=9?
y = 3x + 0 is the answer I believe.
3 times Marie’s age is equal to 50 plz show work
Answer:
m = 16 2/3
Step-by-step explanation:
Let m = maries age
3m = 50
Divide by 3
3m/3 = 50/3
m = 16 2/3
Answer:
Marie's age is 16.7 years
Step-by-step explanation:
3 times Marie's age is equal to 50, so you divide 50 by 3.
50 ÷ 3 = 16.6666666 repeating, round it to 16.7
Marie's age is 16.7 years.
Check: 3 x 16.7 = 50.1 so you round it to 50.
Hope this helps!
-Jerc
HURRY!!!!
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
mark as brainliest plz... it is $39
Step-by-step explanation:
ayeeeeeeeeeeeeeee
6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.
Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?
Answer: A6/ 2/3= 9
Step-by-step explanation:
We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).
To know the number of tiles needed, we will simply do cross multiplication as follows:
1 tile ...............> 2/3 ft
?? tiles ...........> 6 ft
Number of tiles = (6*1) / (2/3)
Number of tiles = 6 / (2/3)
Number of tiles = 9 tiles
Answer:
A). 6 ÷ 2/3 = 9
Step-by-step explanation:
A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60
Answer:
$0. 25
Step-by-step explanation:
2. 95 ÷ 12 = 0.24583333
Round the number and you would get
0. 25
Answer:
D. $0.25
Step-by-step explanation:
the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)
Find the value of y given the value of x for y = 3 -4.3x when x = -3
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
Step-by-step explanation:
y=3-4.3x
y=3-(4.3*3)
y=3-12.9
y=-9.9
Choose the equations that are not linear equations.
A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4
Answer:
hello I'm getting free points
Do you like online classes?
Answer:
no its stupid
Step-by-step explanation:
i wanna go back to school