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
Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}
The median of the distribution can be found using the formula :
Median = 0.5(n + 1) th term
n = number of terms = 12
Median = 0.5(12 + 1) th term
Median = 0.5(13)th term = 6.5th term
Select the 6th and 7th term = 11, 11
(11 + 11) /2 = 22/2 = 11
Hence, the median = 11
The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.
The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.
Answer:
The median number of hours James worked is 10 . The skew of the distribution is negative .
Step-by-step explanation:
please help thank you!!!
Answer:
s = 11.7 ft
Step-by-step explanation:
The bedroom is square, and the area A is equal to 137 ft^2.
Since the area formula for a square is A = s^2, s = √A.
Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)
whats 0 divide by 0 heilpoudjcbjdfvhckdbcu k hybhlxbc jhvwdgv
Answer:
Its undefined lol
Step-by-step explanation:
Answer: Any number divided by 0 is undefined.
Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.
how do you do 4+1346=? 600x787 and 675dividedby700=
Answer:
How do you do 4+1346=? AnswerL 1350
600x787 and 675dividedby700= 472200 :D
Step-by-step explanation:
Answer:
4+1346=1350 ... 600x787=472200
675÷700=0.96
What is the value of the 4 in the number 546210?
Give your answer in words
Answer:
Ten ThousandsThank you ☺️☺️
Caleb starting playing video games as soon as he got home from school. He played video games for 50 minutes. Then Caleb helped clean the kitchen for 1 hour. After the kitchen was clean, it took Caleb 1 hour and 55 minutes to finish his homework. When Caleb finished his homework, it was 7:40 P.M. What time did Caleb get home from school?
Answer:
Caleb had gotten home at 3:55 pm
Answer:
Caleb got home around 3:55
Step-by-step explanation:
The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.
Answer:
10
Step-by-step explanation:
A = s^2
Differentiate each side with respect to s
dA /ds = 2 s
Let s = 5 meters
dA /ds = 2 *5
dA /ds = 10
i need help on this
Answer:
2
Step-by-step explanation:
63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2
Answer:
2
Step-by-step explanation:
[tex]\frac{63}{9} = 7[/tex] Plug 7 in: -5 + 7-5 + 7 = 2I hope this helps!
PLEASE HELP ME OUT
John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.
Hope this helps!
Answer:
D.
Step-by-step explanation:
For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80
But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28
This shows that the cost of the shirt is important in discovering which coupon is better.
are the terms 2x^3 and 2yx^2 like terms
Which calculation will always give a result greater than 1?
5 x a number less than 1
1 3/4 - a fraction less than 3/4
4/9 + a fraction less than 1/2
7/8 x a number less than 1
Answer:
1 3/4 - a<3/4
proof:
1 3/4 -a<3/4
=>1 3/4 - 1 3/4 -a<3/4- 1 3/4
=>-a<-1
=>a>1
Which mathematical concepts did Euler's legacy include? Check all that apply.
the notation for the imaginary unit
the idea of a functional relationship
the formalization of function notation
the definition of a circle's circumference
the notation for the base of the natural logarithm
Answer:
a)the notation for the imaginary unit
c) the formalization of a function notation
e) the notation for the base of the natural logarithm
Step-by-step explanation:
it said i was correct :P
the notation
the formalization of function notation
the notation for the base of natural logarithm
Jada is training for a marathon. She wants to run a total of 25 miles this week. She will run the same distance each day for 6 days. How many miles will she run each day?
Answer:
4 1/6
Step-by-step explanation:
4 x 6 = 24
1/6 x 6 = 6/6 = 1
24 + 1 = 25 :)
What is the equation of the line that passes through the point (3, -5) and has a
slope of 2/3?
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
Which one?
A. B. C. or
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
4x + y =1
x + 2y = 9
Answer:
x=-1 y=5
Step-by-step explanation:
A. 4x+y=1 multiply the equation negative 2
B. x+2y=9
-8x-2y=-2 add this to equation b
x+2y=9
-7x=7 divide both sides by -7
x=-1
now substitute x for -1 in either of the original equations
-4+y=1 add 4 to both sides
y=5
-4+5=1
-1+10=9
If you have the equation of different situations into y = mx + b, What do m and b represent?
A
m represents the y-intercept and b represents the slope.
B
m represents the growth and b represents the initial value.
m represents the slope and b represents the y-intercept.
D
m represents the growth and b represents the Figure #0.
Answer:
C. m represents the slope and b represents the y-intercept.
Step-by-step explanation:
The equation of straight line is usually expressed as:
y = mx + b
Where y is the vertical axis component
x is the horizontal axis component
m is the slope
b is the y-intercept
At the y-intercept, x = 0
Also, the slope is the rise divided by the run.
Find the unit rate of miles per gallon for these vehicles
Sedan:
Minivan:
Truck:
Answer:
Sedan: 18
Minivan:19
Truck: 16
Step-by-step explanation:
Got it right on edge
If you don't trust me sorry but i got it right
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
To learn more about slope visit: https://brainly.com/question/3605446
#SPJ2
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, colon, 12 (Choice B) B 32:5032:5032, colon, 50 (Choice C) C 3:53:53, colon, 5 (Choice D) D 24:4024:4024, colon, 40 (Choice E) E 14:8014:80
Answer:
C. 3 : 5
D. 24 : 40
Step-by-step explanation:
Select two ratios equivalent to 6 : 10
Checking all options
A. 20 : 12
20 / 12
= 10 /6
= 10 : 6
B. 32 : 50
= 32 / 50
= 16 / 25
C. 3 : 5
3 / 5
= 6 / 10
3/5 is equivalent to 6 / 10
D. 24 : 40
24 / 40 = 12 / 20
= 6 / 10
= 6 : 10
Options C and D are correct
Answer:
the anwser is c. and d.explanation:khan acadmey says so
A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...
Answer:
i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.
Step-by-step explanation:
A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?
Answer:
9 attendees
Step-by-step explanation:
1+4=5
46/5=9 R1 the slash is dividing it hope it help's
Answer:
9 attendees
Hope I helped
What is the slope of the graph of y = 12x – 19?
Answer:
12
Step-by-step explanation:
What is the slope of (-3,4) and (0.3)
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
Y is 5 less than the product of 4 and x
Answer: y=4x-5
Y=4x-5
Help me please I don’t get it
Answer:
150 meters
Step-by-step explanation:
5x3=15
5x4=20
20x15=300
300/2=150
Answer:
150 meters <3
Step-by-step explanation:
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
For more information, refer to the link given below:
https://brainly.com/question/25834626
40 POINTS FOR AWNSER
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.