Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Please help- Solve 2x - 11 = k for x.
O A. x = 2k + 22
B.
k+11
2
O C.
c. x= +11
O D. x = k + 9
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[tex]2x - 11 = k[/tex]
Add sides 11
[tex]2x - 11 + 11 = k + 11[/tex]
Simplification
[tex]2x = k + 11[/tex]
Divide sides by 2
[tex] \frac{2}{2} x = \frac{k + 11}{2} \\ [/tex]
[tex]x = \frac{k + 11}{2} \\ [/tex]
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Thus the correct answer is (( B )) .
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A pair of socks costs $6.95 but they are on sale for 20% off. What is the sale price?
Answer: it would take off would be $1.39 so you would subtract $6.95-$1.39 would be $5.56
Step-by-step explanation:
Answer:
$5.56
Step-by-step explanation:
A linear function contains the following points. X - 4 | 4 0 5 What are the slope and y-intercept of this function?
A. The slope is 4. The y-intercept is (5.
B. The slope is The y-intercept is (0,5).
C. The slope is - 1 Tthe y-intercept is (0,5).
D. The slope is -4. The y-intercept is (0,5).
Answer:
The answer is B.
Step-by-step explanation:
when x is 0, y is 5. So that is the yintercept and 4-5=-1 -4-0=-4 do 1/4
Can someone answer this for me please and ASAP!
Need help asap with geometry!
Answer: C
Step-by-step explanation:
Obtuse angles are greater than 90 degrees
Use the critical points to determine the test regions. Which are possible test points? –5 –4 –3.5 –3 –2.5 –2 0 5
Answer:
-5, -3.5, -2.5, 0, 5
Step-by-step explanation:
Answer:
-5, -3.5, -2.5, 0, 5
Step-by-step explanation:
Just got it right on the assignment
Edg 2021
A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.
Answer:
non-included
Step-by-step explanation:
A non included side of a polygon shares a side with only one angle of a pair of angles.
Answer: This type of angles are adjacent interior angles.
Explain the difference between a conductor and an insulator. please I need help
Answer:
Conductors are materials that provide easy paths for the flow of electrons. Conductors are generally made from materials that have large, heavy atoms. And insulators are the things that have very large resistance to the flow of electric current.
Hope this helps!!
PLEASE HELP!! ILL MARK BRAINLYEST!! 20 POINTS!!!
What is the LCM of 24 a^3b and 36 ab^2 ?
A. 72 a 3b 2
B. 12 ab
C. 36 ab
D. 24 a 3b 2
Answer:
correct answer is B
Step-by-step explanation:
Hope this helps
Please hurry I am being timed please help!!
Solve.
f/10 = 16
A. 160
B. 6
C. 26
D. -160
Sorry if this is easy, I'm bad at math :(
Answer: I think it's 160
Step-by-step explanation:
rita drew the pre image of circle K with a dashed line and it's image after dilation with a solid line. which shows the the dilation of circle K with a scale factor of two
Answer:
C
Step-by-step explanation:
Cant really give one, im just reviewing.
Select the correct answer.
Which ordered pair represents a point where the graph of f(x) = (x - 1)(x2 + x - 20) crosses the x-axls?
(-1,0)
(-5,0)
(-4,0)
(20,0)
Answer:
(-5, 0)
Step-by-step explanation:
f(x) = (x - 1)(x2 + x - 20) = 0
x - 1 = 0
x = 1
x^2 + x - 20 = (x + 5)(x - 4)
x + 5 = 0; x - 4 = 0
x = -5; x = 4
Answer: (-5, 0)
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount?
Step1: Find the amount of discount
Step2: Find the amount of discount as percentage
Answer:
$12, 14%
Step-by-step explanation:
Find the amount of discount:
84 - 72 = 12
Find the amount of discount as a percentage
12 / 84 = 0.1428
Write your answer in simplest form 7/6÷2
Answer:
7/12
Step-by-step explanation:
7/6÷2
7/6÷2/1
7/6*1/2
7/12
Answer:
7/12
Step-by-step explanation:
7/6 ÷ 2
7/6 * 1/2
=7/12
Solve this equation
y= -3x +3
Answer:
What do you want me to do? It is already solved
Step-by-step explanation:
PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON
Answer:
Step-by-step explanation:
20. r= S/2πh
21. y= 2-3/5x
22. 4.3333333 minutes
23. 80 ounces
24. x= 21
25. c= -1
HELLOPPPPPPPP ASAPPPPPP PLEASEEEE
Answer:
A.
Step-by-step explanation:
Anime recommendations?
my favorites --
-- jormungand
-- the god of high school
-- stars align
-- haikyuu
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-- bungou stray dogs
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Express the ratio below in its simplest form.
5:15:20
Answer:
1:3:4
Step-by-step explanation:
[tex]\frac{5}{5}: \frac{15}{5}: \frac{20}{5}=1:3:4[/tex]
.....................................
9514 1404 393
Answer:
7 +11·i
Step-by-step explanation:
√-121 = (√-1)(√121) = i·11
So, 7 +√-121 = 7 +11·i
NEED ANSWERS ASAP DUE AT 12
Answer: Natural: G ; Whole: B ; Integer: H; Rational: A, D, F, J, I, E; Irrational: C, K
Step-by-step explanation:
Natural numbers- Counting numbers (1, 2, 3, 4, etc.)
Whole numbers- Counting numbers and 0
Integers- Counting numbers, 0, and their opposites
Rational numbers- any number that can be written as a fraction in which 0 isn't the denominator
Irrational numbers- all other numbers
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds what is the total final momentum of the system (round your answer to the nearest tenth
Answer:
Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:
P = m*v
where m is mass, and v is velocity.
First, let's calculate Pi, the initial momentum.
Pi = Pi₁ + Pi₂
Where the subscripts 1 and 2 refer to each puck:
Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)
Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)
Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)
Now, after the collision we have that:
The first puck comes to rest, then:
Pf₁ = 0.17kg*0m/s = 0 (kg*m/s)
And the second puck will have a velocity v, that we want to find:
Pf₂ = 0.11kg*v
Pf = Pf₁ + Pf₂ = 0 (kg*m/s) + 0.11kg*v = 0.11kg*v
And by conservation of momentum we have:
Pi = Pf
2.55 (kg*m/s) = 0.11kg*v
We divide in both sides by 0.11kg
2.55 (kg*m/s)/0.11kg = v
23.2 m/s = v
And from this, the final momentum will be the same as the initial:
Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)
The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.
Given :
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.
The formula of the momentum is given below:
P = mv
Now, let conserve the moment, that is:
[tex]\rm P_i=P_f[/tex] --- (1)
where [tex]\rm P_i[/tex] is the initial momentum and [tex]\rm P_f[/tex] is the final momentum.
First, determine the initial momentum.
[tex]\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec[/tex]
Now, determine the final momentum.
[tex]\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec[/tex]
Now. substitute the value of [tex]\rm P_i[/tex] and [tex]\rm P_f[/tex] in the equation (1).
[tex]\rm 2.55=0.11v[/tex]
v = 23.18 m/sec
So, the final momentum can be calculated as:
[tex]\rm P = 23.18 \times 0.11[/tex]
P = 2.55 Kg m/sec
For more information, refer to the link given below:
https://brainly.com/question/4956182
7.55 x 8 and 8 x 7.2
Compare the two functions and determine which one has the greater rate of change.
Function 1: y = x + 6
Function 2: y = 2x + 1
PLZSSSSS HELP MEEEEE I WILL GIVE BRAINLY
Answer:
I hope it help, it can be wrong, Im so sorry!
Step-by-step explanation:
1.
y=x+6
y=x6
2.
y=2x+1
y=x.2+1
y=x.2
y=2
please answer seriously!!
Answer:
27. chord
28. radius
29. diameter
30. secant
31. tangent
32. secant
Step-by-step explanation:
I guess thats the correct answer
Statement: "Two triangles with corresponding congruent angles are congruent." Is this statement true or false? *
Answer
FALSE
Step-by-step explanation:
on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum umber of tickets kate can buy with $205
Answer:
kate can buy 20 tickets
Step-by-step explanation:
hope this helps
i am not sure about the answer
The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x?
Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
[tex]x+y+z=855[/tex]
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
[tex]x + y + z = 855[/tex]
substituting y + z = x / 1.5 in the equation
[tex]x+\frac{x}{1.5}=855[/tex]
Multiply both sides by 1.5
[tex]x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5[/tex]
[tex]1.5x+x=1282.5[/tex]
[tex]2.5x=1282.5[/tex]
Divide both sides by 2.5
[tex]\frac{2.5x}{2.5}=\frac{1282.5}{2.5}[/tex]
[tex]x = 513[/tex]
Therefore, the value of x = 513
one-third of a number, decreased by 36, is at most 22 find the number
Answer: x = 174, and x < 174.
Let the number be x.
Then 1/3 of the number = 1/3*x
1/3*x is decreased by 36 is the same as 1/3*x - 36
If 1/3*x - 36 is at most 22, we can write:
1/3*x - 36 is less than or equal to 22.
Therefore,
1/3*x - 36 <= 22
1/3*x - 36 = 22 (i), and 1/3*x - 36 < 22 (ii)
From (i):
1/3*x = 22 + 36 = 58, or x = 58 * 3 = 174.
From (ii):
1/3*x < 22 + 36 = 58, or x < 58 * 3 , or x < 174.
Therefore,
x = 174, and x < 174.
WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER
What is the solution (a, b) to this system of linear equations?
3a+6b=45
2a-2b=-12
(-27, 6)
(-1, 7)
(1, 7)
(27, -6)
Answer:
I dont know why my answer was removed nor why i was warned for it. But the answer is C
Step-by-step explanation:
Answer: 1, 7 is he answer I just took the quiz and got it correct.
Step-by-step explanation: