Answers
Answer:
[tex]\rule{100mm}{0.1mm}[/tex]
[tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]
[tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]
[tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔
[tex]\rule{100mm}{0.1mm}[/tex]
Related Questions
If sinA 3/5 and cos B 5/13 , then find the value of sin (A+B)
Answers
Answer:
[tex] \frac{63}{65} [/tex]
Step-by-step explanation:
We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity
[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]
By using the identity above gives
[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]
[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]
[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]
Now to find the value of cosA , we'll use the same identity.
[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]
[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]
[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]
Now we know that
[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]
So value of sin(a+b) =
[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]
[tex] = \frac{3}{13} + \frac{48}{65} [/tex]
[tex] = \frac{63}{65} [/tex]
Whoever answers gets brainlist!
Answers
Answer:
B
Step-by-step explanation:
Answer:
The height is 4 Ft.
Step-by-step explanation:
9*4=36
9 ft*4 ft=36 Ft.
Hope this helps
Marsha has 3 rugs. the first rug is 2 meters 87 centimeters long. the second rug has a length 98 centimeters less than the the first. the third rug is 111 centimeters longer than the second rug. what is the difference in centimeters between the length of the first rug and the third?
Answers
Answer:
13 cm
Step-by-step explanation:
rug 1= 2.87 meters or 287 cm
rug 2= 287-98 or 189 cm
rug 3= 189+111 or 300 cm or 3m
300-287=13cm or 0.13m
There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game
Answers
A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?
Answers
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?
Answer:
the answer is 4
Make h the subject of the formula x = 5h + 8
Answers
Answer:
h=(x/5)-8
Step-by-step explanation:
i hope that helps
Formula for h is, h = 1/5 (x - 8).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The formula is,
⇒ x = 5h + 8
Now, We can solve the formula for h as;
⇒ x = 5h + 8
Subtract 8, we get;
⇒ x - 8 = 5h + 8 - 8
⇒ x - 8 = 5h
Divide by 5;
⇒ 1/5 (x - 8) = h
⇒ h = 1/5 (x - 8)
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Kevin and his children went into a restaurant and he bought 31.50
Answers
um kevin bought 31.50 of what? food?
Which unit rate is the lowest price per ounce out of 25 ounces of potato chips fo 3.49$ or 45 ounces of potato chips for 4.79$
Answers
Answer: choice A : 3.49/25 = 0.139 rounds to 14 cents per oz
choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz. lowest price is choice B
What is cos 63°? Round your answer to the nearest hundredth.
A. 0.89
B. 0.45
C. 0.17
D. 1.96
Answers
Answer:
B. 0.45
Step-by-step explanation:
Use the cos function in a calculator for the degree measure of 63°.
The value of cos 63° is 0.45.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
To find cos 63°, we can use a calculator or a table of trigonometric functions.
Now,
cos 63° ≈ 0.447
Rounding to the nearest hundredth, we get:
cos 63° ≈ 0.45
Therefore,
The value of cos 63° is 0.45.
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For the following statement identifying the independent independent variable is the faster you drive your car the longer it will take to come to a complete stop
Answers
Answer: Driving Speed
Step-by-step explanation:
The Independent variable is the one that is being experimented on to see the effect it will have on the dependent variable.
The Independent variable is adjusted to different levels to see if a relationship exists between these adjustments and a change in the dependent variable.
In this scenario the independent variable would be the speed you drive your car whilst time taken to completely stop is the dependent variable because the speed is the variable being adjusted to see the time taken to completely stop the car.
In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units
Answers
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.
a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.
Answers
Vocabulary Is every relation also a function? Use the drop-down menus to show and explain your answer.
Choose...
; A
Choose...
is a special type of
Choose...
where each input maps to exactly one output. In a
Choose...
, an input can have one or more outputs.
Answers
Answer:
19
Step-by-step explanation:
9+10 is not 21 it is 19.
If 2 tens make a 20 and 1 number is gone, 20-1=19
what is the slope of the line on the graph below?
answers: a -1/2. b 1/2. c 1. d 2
please help!
Answers
Answer:
D
Step-by-step explanation:
Plz help me with this plz I am marking branliest to correct answer plzzzzz
Answers
Answer:
Step-by-step explanation:
(a). ASA ≅ ASA
If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.
(b). SSS ≅ SSS
If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answers
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
The water balloon follows a path such that it makes half parabola.
From the graph:
At x = 0
Height(h) = 64 feet
Which is the maximum height of the water balloon.
After t = 2 seconds
The water balloon hits the ground
The correct options are:
The maximum height of the water balloon occurs at x = 0. The water balloon is in the air for 2 s. The maximum height of the water balloon is 64 ft.Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
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every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy
Answers
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
8×5= 40
The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?
Answers
Answer:
9
Step-by-step explanation:
y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *
Answers
12 * 11 = $132
It would cost $132 for 11 tickets
Answer:
4 tickets =$48
1 ticket = $48/4
= $ 12
11 tickets =11*$12
= $132
How many solutions does this equation have?
-3n = -4n + 7
Answers
Answer:
just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7
Answer:
2
Step-by-step explanation:
my soulstinos were Solution 1)
3
n
+
7
=
−
1
3
n
+
7
−
7
=
−
1
−
7
3
n
+
0
=
−
8
3
n
=
−
8
3
n
3
=
−
8
3
3
n
3
=
−
8
3
n
=
−
8
3
Solution 2)
3
n
+
7
=
1
3
n
+
7
−
7
=
1
−
7
3
n
+
0
=
−
6
3
n
=
−
6
3
n
3
=
−
6
3
3
n
3
=
−
2
n
=
−
2
The solution is:
n
=
−
8
3
and
n
=
−
2
Evaluate: 12 divided by y+9d if y = 5 and d = 7
Answers
12/68 = 6/34 = 3/17
The solution is 3/17
Answer:
0.25
12/5+(7x5)
Step-by-step explanation:
12/5+(7x5)
12/5+35
12/40
In the lab, Karen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much Solution A as Solution B. Solution A is 10% alcohol and Solution B is 15% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 180 milliliters of pure alcohol?
Answers
Answer:
She uses 162 millitiers if Solution B.
Step-by-step explanation:
180 - 10% = 162
Solution A = 18 milliliters
Soultion B = 162 millitiers
If f(x) is differentiable for the closed interval [−4, 0] such that f(−4) = 5 and f(0) = 9, then there exists a value c, −4 < c < 0 such that
f(c) = 0
f '(c) = 0
f (c) = 1
f '(c) = 1
Answers
Points are (-5,1) (-4,2) (-1,3)
I need it in y=
Please be fast!!
Answers
Answer:
(5,1) (4,2) (1,3)
Step-by-step explanation:
since is going a clockwise rotation the -x(5,4,1) all will become positive
Need help with question 4
Answers
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
The discount price of a book is 20% less than the
retail price. James manages to purchase the book
at 30% off the discount price at a special book
sale. What percent of the retail price did James
pay?
A) 42%
B) 48%
C) 50%
D) 56%
Answers
Answer:
Step-by-step explanation:
Let retail be $100
At 20% discount
(100-20)% * 100
0.8*100
$80
At 30% discount
(100-30)%* 80
$56
Using the percentage relationship between cost, the book was purchased at 56% of the retail price.
Let :
Retail price = r
Discount price = 0.8r
Special sale price :
30% off discount price(1 - 0.30) × 0.8r
0.70 × 0.80r = 0.56r
Hence, the book was purchased at 56% of the retail price.
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What is .63 converted into a decimal?
Answers
Answer: 63 as a decimal is 0.63
Step-by-step explanation:
Answer:
the answer to your question is 0.63
What is 5 x 9 ÷ 3 - 3²?
Answers
Answer:
6
Step-by-step explanation:
Using PEMDAS, you would first do the exponent which is equal to 9. the following it you would do 5x9 which is 45 and divide it by 3 which gives you 15. finally you subtract the 9 from 15 and get 6.
Answer:
6
Step-by-step explanation:
5 x 9 ÷ 3 - 3²
5 x 9 ÷ 3 - 9
45 ÷ 3 - 9
15 - 9
6
use PEMDAS for the order of operations.
good monke good monke dog
Answers
Answer:
very inspirational thanks
Step-by-step explanation:
Answer:
monke
Step-by-step explanation: