Answers
Step-by-step explanation:
Given
sin(α+β) cos(α-β) +cos(α+β) sin(α -β)
We can see it is in the formula of
sin(A + B) = sinA cosB + cosA sinB
So now
Sin ( α + β + α - β)
= sin 2α
Or we can write sin2α as
= 2 sin α * cos α
Hope it will help :)❤
Related Questions
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Answers
Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
I need help solving this worksheet for corrections, I’m stuck.
Answers
Answer:
wasting ur time like u wasted mine
Step-by-step explanation:
X/-2 - 4 < 2
what is x?
Answers
Answer:
x>-12
Step-by-step explanation:
x/-2-4<2
x/-2<2+4
x/-2<6
x<6(-2)
x<-12
x>-12
-3|x|+2x-1 if x=-5
i need help with this or else i will not get my computer
Answers
Answer:
-26
Step-by-step explanation:
Hello There!
For this problem all we have to do is plug in -5 into x and calculate the value
so..
-3|-5|+2(-5)-1
so first things first | | means absolute value
The absolute values of -5 is 5 so the equation would be
-3(5) + 2(-5) - 1
-3*5=-15
2*-5=-10
-15-10=-25
-25-1=-26
so the answer would be -26
Is 499.50 great than or less than 499.05?
Answers
Answer:
greater
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y=1/6x+5
y=-3/2x-5
Answers
Answer:
(X,y)=(15/2,25/4) thanks for all the answers
y=1/6x+5 -> plot points (-6,4),(0,5),(6,6)
y=-3/2 x -5 -> plot (-2,-2),(0,5),(2,-8)
Plot about 3 points for each line and connect them
Y=1/6 x +5
(Y=4)
4=1/6x+5
-1=1/6x
X=-6
(-6,4)
(Y=5)
5=1/6x+5
0=1/6x
x=0
(0,5)
Y=6
6=1/6x +5
1=1/6 x
X=6
(6,6)
Line y=1/6x+5 plot points (-6,4),(0,5),(6,6)
Y=-3/2 x -5
(Y=-8)
-8=-3/2 x -5
-3=-3/2 x
6=3x
x=2
(2,-8)
(Y=-2)
-2=-3/2 x -5
3= -3/2 x
-6=3x
x=-2
(-2,-2)
(Y=-5)
-5=-3/2 x -5
0=-3/2 x
x=0
(0,-5)
Line Y=-3/2 x -5 plot (-2,-2),(0,5),(2,-8)
A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work to save at least $165?
Answers
Answer:
Step-by-step explanation:
[tex]10.6h+53.7\ge 165\\ \\ 10.6h\ge 111.3\\ \\ h\ge 10.5[/tex]
Could you guys please help me solve this basic math. PLS OMG ITS DUE :(
Answers
20 POINTS Find the diameter?? Pls help I dont know what to do..
Answers
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Which point is on the graph of f(x) = 5^x
Answers
Answer:
B (1,5)
Step-by-step explanation:
Question 1 (1 point)
Write the slope-intercept form of the equation of the line through the given points.
Answers
Answer:
The answer would be (B) .
how do you solve fire x.
Answers
Answer:
x = 10
Step-by-step explanation:
Sum of all the angle of triangle = 180
71 + 50 + 6x - 1 = 180
71 + 50 -1 + 6x = 180
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 60/6
x = 10
A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?
IN% of the values are from 4 to 7.
(Type an integer or a decimal.)
Answers
Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
1. What is the solution of the system
{3x - y = 14
{4x + y = 21 ?
A (−5, 3)
B (4, −2)
C (5, 1)
Answers
Answer:
C
Step-by-step explanation:
3x-y=14
4x+y=21
add
7x=35
x=35/7=5
4×5+y=21
y=21-20=1
so (5,1 ) is the solution.
help me i mark brain thing help due in 5 minutes
Answers
Answer:
A: 1
B: 17
C: 26
D: 42
E: 57
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
NO SENDING ME LINKS!!!
Answers
Answer:
N(t)=52(9/7)^t
Step-by-step explanation:
hope it's helpful..
have a great day
Lincoln is saving $360 to buy a new bike. he already has $85 and can earn $12 per hour at work. which of the following equation describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?
Please help
Answers
Answer:
its c
Step-by-step explanation:
Given ON, what is mABC ?
Answers
Answer:
personally, I would say try using the formula you were taught because there are different ways people do things
Step-by-step explanation:
formula is key
-4x>6y - 54
I’m not sure how to completely solve this
Answers
1) Divide both sides by-4.
[tex]x < - \frac{6y - 54}{4} [/tex]
2) Factor out the common term 6.
[tex]x < - \frac{6(y - 9)}{4} [/tex]
3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.
[tex]x < - \frac{3(y - 9)}{2} [/tex]
Therefor, the answer for x is x < - 3(y - 9)/2.
Solving for Y:[tex] - 4x + 54 > 6y[/tex]
[tex] \frac{ - 4x + 54}{6} > y[/tex]
[tex] \frac{ - 2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2x - 27}{3} > y[/tex]
[tex]y < - \frac{2x - 27}{3} [/tex]
Therefor, the answer for Y is y < - 2x-27/3.
An expression is shown.1608 ÷ 268 What is the value of the expression? When entering the answer, use numbers only.
Answers
Answer:
6
Step-by-step explanation:
We are to divide 1608 by 268
1608/268
4 can divide both the numerator and denominator. So divide the numerator and denominator by 4
This gives 402 / 67
Th 67 multiplication table
67 x 1 = 67
67 x 2 = 134
67 x 3 = 201
67 x 4 = 268
67 x 5 = 335
67 x 6 = 402
the value of the expression would thus be 6
A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground for secure footing. How far is the base of the ladder from the side of the building? Round to the nearest tenth of a foot.
Answers
Answer:
Step-by-step explanation:
A
50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles
Will give brainliest and 20 points!!!!!!
Answers
7 meters
Step-by-step explanation:
A right rectangular prism has a length of 9, a width of 4, and a height of 5. How many unit cubes can fit in the prism?
Answers
Answer:
The answer is 54 cubes.
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
Answer:
The answer is A.
A is where the lines intersect.
Answer:
the answer is a. (2,6)
If $42,000 is invested at 7% in a savings account for 8 years, what is the final amount monthly and continuously?
Answers
Answer:
7,000
Step-by-step explanation:
so I think u divide $42,000 by 8 and then by 7%.
yea
HELPPP PLSS What is the solution to the equation
Answers
Answer:
[tex]a=3\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]a+5\frac{2}{3} =9[/tex]
[tex]a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}[/tex]
[tex]a=3\frac{1}{3}[/tex]
20 POINTS When an alternating current of frequency fand peak current lo passes through a resistance R, then the power delivered to the
resistance at time t seconds is P = ZoRsinº2 5ft
Write an expression for the power in terms of cos 2 sett.
Answers
P = ZoRsinº2 5ft is correct answer
Answer:
Letter D
Step-by-step explanation:
Edge2021
Find the solution to this equation - 3x + 32 - 7x = -2 (5x + 10)
Remember the steps
1. Distribute
2. Combine like terms on the left side
3 Pick sides variables = constants
4 Move terms that don't belong by doing the opposite operations
5 Decide what the statement means If it's always true write "infinitely many solutions." If it's always false, write "no solutions."
Answers
Answer:
[tex]x =\frac{-26}{3}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+32−7x=−2(5x+10)
3x+32+−7x=(−2)(5x)+(−2)(10)(Distribute)
3x+32+−7x=−10x+−20
(3x+−7x)+(32)=−10x−20(Combine Like Terms)
−4x+32=−10x−20
−4x+32=−10x−20
Step 2: Add 10x to both sides.
−4x+32+10x=−10x−20+10x
6x+32=−20
Step 3: Subtract 32 from both sides.
6x+32−32=−20−32
6x=−52
Step 4: Divide both sides by 6.
6x
6
=
−52
6
x=
−26
3
I need these answers please!
Answers
Answer: y-3x+4 = slope: 3 y-intercept: (0,4), you graph the equation on the line using the slope and y-intercept.
y=x+4 = slope: 1 & same y intercept.
Step-by-step explanation:
7. An example for using estimation would be:
O O O O
A) counting back change
B) depositing money in the bank
C) guessing the number of pennies in a jar
D) counting the number of dollar bills in your wallet.