Review the proof of cos(A - B) = cosAcosB + sinAsinB.
Which of the following complete step 4 of the proof?
1 and 1
2 and 1
(cosAcosB)2(sinAsinB)2 and (cos2(A – B))((sin2(A – B))
(cos2A + sin2A)(cos2B + sin2B) and (cos2(A – B))(sin2(A – B))
Answers
Answer:
Option (2)
Step-by-step explanation:
Step 1.
[tex]\sqrt{(\text{cosA-cosB})^2+(\text{sinA-sinB})^2}=\sqrt{(cos(A-B)-1)^2+(sin(A-B)-0)^2}[/tex]
Step 2.
(cosA - cosB)² + (sinA - sinB)² = [cos(A - B) - 1]² + [sin(A - B) - 0]²
Step 3.
cos²A + cos²B - 2cosAcosB + sin²A + sin²B - 2sinAsinB = cos²(A - B) + 1 - 2cos(A - B) + sin²(A - B)
Step 4.
2 - 2cosAcosB - 2sinAsinB = 1 - 2cos(A - B) + 1
Step 5.
cosAcosB + sinAsinB = cos(A - B)
Therefore, Option (2) will be the answer.
Answer:
the answer is 2 and 1 or B
Step-by-step explanation:
Related Questions
A relation is
i don't know this answer somebody please help
Answers
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
37.5 to the nearest degree
Answers
Answer:
38 degrees
Step-by-step explanation:
if it is half a tenth or more, it gets rounded up to the next degree
Answer:
38
Step-by-step explanation:
p=E^2/r. Solve for E
Answers
P*r=E^2/r*r
P*r=E^2
Then u need to find the square root of E^2
So the answer is:
Square root of P*r=E
(I dont have the symbol)
−11 − 15 Group of answer choices -26 26 -4 4
Answers
Answer:
-26
Step-by-step explanation:
-11 - 15 = -26I hope this helps!
((I'LL GIVE BRAINIEST))Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
a
6.9x − 16
b
6.9x + 16
c
0.1x − 16
d
0.1x + 16
Answers
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Perimeter = Sum of the sides
Thus ;
[tex]Perimeter = (0.5x + 9) + ( 3x) + ( - 3.4x - 25) \\ [/tex]
[tex]Perimeter = - 3.4x + 3x + 0.5x - 25 + 9 \\ [/tex]
Collect like terms
[tex]Perimeter = 0.1x - 16[/tex]
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Thus the correct answer is (( c )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
perimeter = A + B + C
perimeter = 0.5x + 9 + 3x + (-3.4x - 25)
perimeter = 0.5x + 3x -3.4x + 9 - 25
perimeter = 3.5x - 3.4x + 9 - 25
perimeter = 0.1x + 9 - 25
perimeter = 0.1x - 16
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answers
Answer:
the x-intercept is (-10, 0) the y-intercept is (-45, 0)
Answer:
X intercept is (-10,0)
Y intercept is (0,-40.5)
Step-by-step explanation:
Hope this helps.
Trey deposits $8000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years
6
Answers
Answer:
1600
Step-by-step explanation:
You want to calculate the interest on $8000 at 5% interest per year after 4 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $8000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 8000 × 0.05 × 4 to get that:
The interest is: $1600.00
Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 8000.00 + 1600.00 = 9600.00. For example:
If you borrowed the $8000.00, you would now owe $9600.00
If you loaned someone $8000.00, you would now be due $9600.00
If owned something, like a $8000.00 bond, it would be worth $9600.00 now.
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answers
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
In the graph shows Nick’s Bike ride from home to his grandparents and then returning home. Which intervals show Nick’s distance from home increasing?
A). Interval A and B
B).interval D and F
C).interval C and E
D).interval A,B,C and E
Answers
Option A is the correct answer; i.e. interval A and B.
What is Distance?The distance between two points is the length of the path connecting them.
Here, from the given graph, we can conclude that
A and B show the distance Increasing, the line is going up so as time has passed he is getting far to his house. Continuously 1 hour 45 mins he increases hi distance without staying anywhere.
Thus, Option A is the correct answer; i.e. interval A and B.
Learn more about Distance from:
https://brainly.com/question/15172156
#SPJ1
Answer:
Interval C and E are constant
Step-by-step explanation:
A function is constant if as x increases ( from left to right), y stays the same.
the volume of a cube is 125m find it's side
Answers
Answer:
41.6666666667m ( round to nearest whole number if you need to) -> 42m
Step-by-step explanation:
To find the volume
You multiply the length, width, and height. ( V= LxWxH)
So, divide 125 by 3 and you get 41.6666666667.
To check your answer: 41.6666666667 times 3 and you get 125.
I HOPE THIS HELPS YOU!! :)
Suppose the amount of chickens varies directly with the pounds of corn needed. Billy
Bob feeds 30 chickens with 5 pounds of corn. Billy Bob is planning to buy 15 more
chickens and is wondering how much corn he will need to buy to feed all his chickens.
Assuming the new chickens are the same size and will eat the same portions of corn,
how much corn will Billy Bob need to purchase to feed all 45 chickens?
Answers
Answer:
83904984098140984019258070271
Step-by-step explanation:
The chickens be hungry doe.
who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec
Answers
Answer:
42 ft in 6 seconds
Step-by-step explanation:
The person whom walks a greater distance in lees time is faster
Complete the equation describing how x and y are related.
Answers
Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.
Answers
Answer:
y=45x+25
y = total cost and x = number of months.
Where in the real-world is the Pascal Triangle used? Provide an example.
Answers
Answer:
There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.
You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.
I hope this helped.
[(7+9)] -5(squared)] divided by 3 =
Answers
Answer:
-3
Step-by-step explanation:
7+9-5²/3=-9=3=-3
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)
Answers
Answer:
y= -1/2x+5
Step-by-step explanation:
u just have to use the y=mx+b form and youll be good
Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances
Answers
Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
Write an equation in slope-intercept form of the line with a y-intercept of -6 and is parallel to a line that is perpendicular to 5x + 6y - 13 = 0
Answers
Answer:
y= −5/6 x+ 13/ 6
Step-by-step explanation:
I think tis the type of answer your looking for let me know if it's not
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answers
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
-2-(x-3)=-4
What does x equal?
Answers
Answer:
x = 5
Step-by-step explanation:
-2 -(x-3) = -4
You have to switch the signs into their opposites when you have -(?)
-2 - x + 3 = -4 Add liked terms
-x + 1 = -4
- 1 - 1 Subtract 1 from both sides
-x = -5 Get rid of the negative in the x
/-1 /-1 Divide -1 from each sides
x = 5
Y-3=2
x=2+3
x=5
can some one help???
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown:
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
A) Reflection about the x-axis followed by a translation to the right by 2 units
B) Reflection about the y-axis followed by a translation to the left by 2 units
C) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
D) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answers
Answer:
B
Step-by-step explanation:
how do I know that l -32 l is greater or less than l 15 l
Answers
When it is in between the two rods like that, it is a positive. So, in other words, these two numbers are:
32 and 15
What is more? 35, of course.
35>15
That is how! Hope I helped ya!
how do you find the hypotenuse
Answers
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)
WILL MARK BRANLIEST
1. Solve the inequality for x
-4x + 6 < 50
Answers
Answer:
The answer is -11
Step-by-step explanation:
subtract 6 from both sides.
divide both sides by the negative 4
Simplify 44/-4x
which gives you x= -11
i don’t feel like doing this so please help
Answers
Dilate line f by a scale factor of one half with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
(A) The locations of A' and B' are A' (0, 2) and B' (0, 0); lines f and f' intersect at point A.
(B) The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
(C) The locations of A' and B' are A' (0, 0) and B' (2, 0); lines f and f' intersect at point B.
(D) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
Answers
Answer:
B. The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
Step-by-step explanation:
Took the test
I'LL GIVE BRAINLIEST! What property could you use to show that triangles PQR and XYZ are congruent? A) SSS B) HL C) SAS D) ASA
Answers
Answer: HL
Step-by-step explanation:
It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles are congruent.
help me please, I don’t understand
Answers
You have 18 pictures to paste to a poster. You want to arrange them on the poster in rows so that there are an equal number of pictures in each row.
a. How many rectangular arrangements are possible? List them.
b. You decide to have no more than 10 pictures in any row or column. How many rectangular arrangements are possible now? List them.
Answers
Answer:
no idea too hard but try math way
Step-by-step explanation:
