Answer:
See Explanation
Step-by-step explanation:
[tex] \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved[/tex]
Hi.
I need to confirm if I am correct .
Approximate the following numbers to :
(I) 1 s.f (one significant figure)
(II) 2 s.f ( two significant figure)
(III) 3 s.f (three significant figure).
(a). 0.004816
(b). 50.00168
(c). 0.0009812
Answer:
(a)
1 sig: 0.005
2 sig: 0.0048
3 sig: 0.00482
(b)
1 sig: 50
2 sig: 50.
3 sig: 50.0
(c)
1 sig: 0.0010
2 sig: 0.00098
3 sig: 0.000981
Step-by-step explanation:
Significant Figures Rules:
Any non-zero digit is significant.Any trailing zeros after the decimal is significant.Any zeros between 2 significant digits are significant.Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.(a)
0.004816 - the zeros are placeholders, so they do not count as sig figs.
(b)
50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.
(c)
0.0009812 - the zeros are placeholders, so they do not count as sig figs
Graph the line that represents this equation: y + 2 = (1+2) Drawing Tools Select Point Line
Answer:
Look at the desmos graph below
Step-by-step explanation:
I need help with this
Please Help!!!
A pair of parallel lines is cut by a transversal:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.
What is the measure of angle x?
10 degrees
15 degrees
45 degrees
60 degrees
15 degree or watt quite not sure
9514 1404 393
Answer:
45 degrees
Step-by-step explanation:
Alternate interior angles where a transversal crosses parallel lines are congruent:
x + 30 = 75
x = 45 . . . . . . degrees
Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30.75 altogether. How much money did each boy receive?
Answer:
Each boy recieved $25.25 each
Step-by-step explanation:
First, you add up all the money the 3 boys spent.
15+15+15=45
Then you add the sum of the equation to the amount all the boys had afterward.
45+30.75=75.75
Finally, you divide that product to 3 boys.
75.75/3=25.25
Therfore the answer is $25.25 each.
In a neighborhood of 72 families. 18 families on one or more cats. Write the number of families who own one or more cat as a fraction. Then write the fraction as a decimal.
Answer:
0.25
Step-by-step explanation:
The fraction is 18/72. The decimal is different. If you divide 72 by 18, you get 4. That tells you how it is in a quarter, aka four pieces. Divide 100 by 4, you get 25. That’s why the answer is 0.25
A Sand dune stands 5 feet above sea level. the hill is eroding at a rate of 1 foot per 20 years. let y represent the height of the sand dune after x years. which equation represents the situation
Answer:
5 - (1 + 20) = yx
Step-by-step explanation:
So if 5ft is the original height, we would need to distribute that to decrease in the following years. That is where the 5 - comes from. Next we know that is it is eroding 1 foot in 20 years so that is 5- (1+20) You HAVE to distribute that and not add. Then it equals y the height of the dune in x, the years. Honestly 5 feet above sea level is kinda puny for a sand dune ;P.
8) A diver is swimming 20 feet below sea level. He sees asea turtle 10 feet below him. How deep is the sea
turtle? Write a mathematical expression to represent
the situation.
What equation do you use to find percent?
Answer:
How to calculate the percentage of a number. Use the percentage formula: P% * X = Y. Example: What is 10% of 150?
Which is the equation of a line that has a slope of 7 and passes through point (2, -3)? O V= 5X-4 O y= 5x-2 1 y = 3x+2 1 Oy=zX+3
Answer:
y = 7x-17
Step-by-step explanation:
y=mx+ c
substitute the values,
-3=14+c
c=-17
y=7x-17
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A. -7 and -3
B. -3 and 7
C. -7 and 3
D. 3 and 7
Answer:
B,‒3&7
Step-by-step explanation:
(x‒7)=0 (x+3)=0
x=0+7 x=0‒3
x=7 x=‒3
i hope it helps you
Solve the following equation and then check your solution. Show all of your work.
-17 + 7 = 33
Answer:
thats a false equation
When is the accounting equation used?
Answer:
It is used in double-entry accounting.
Drag the tiles to the correct boxes to complete the pairs.
Match each solution to the equation it solves.
Answer:
the first one is 3
the second one is 7
the third one is -2
and the last one is -3
Step-by-step explanation:
The equation is matched with its solutions below;
1/4x + 5/3x - 4 = 2 - 1/12x; x = 33.2b - 4.7 = 3b - 3.3; b = 74.6y - y + 4 = y - 1.2; y = -27.5c - 2.5c + 8 = - 7; c = -3What is the solution to the equation?1/4x + 5/3x - 4 = 2 - 1/12x
combine like terms
1/4x + 5/3x + 1/12x = 2 + 4
(3x+20x+x) / 12 = 6
24/12x = 6
2x = 6
Divide both sides by 2
x = 6/2
x = 3
3.2b - 4.7 = 3b - 3.3
combine like terms
3.2b - 3b = -3.3 + 4.7
0.2b = 1.4
divide both sides by 0.2
b = 1.4 / 0.2
b = 7
4.6y - y + 4 = y - 1.2
combine like terms
4.6y - y - y = - 1.2 - 4
2.6y = - 5.2
divide both sides by 2.6
y = -5.2 / 2.6
y = -2
7.5c - 2.5c + 8 = - 7
5c = -7 - 8
5c = -15
divide both sides by 5
c = -15/5
c = -3
Read more on equation:
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4X-8 + 6x +13= 90 ¿cual es le resultado ?
Respondan esto con todo y Procedimiento Plz me ayudaria muchisimo
Answer: I cant understand what you want think you could put it in English?
Step-by-step explanation:
list the factors of the following
1. 4
2. 9
3. 20
kindly help plz
Answer:
1. 1, 2, 4
2. 1, 3, 9
3. 1, 2, 4, 5, 10, 20
Step-by-step explanation:
Answer:
1. 8,12,16,20,24, etc , 2 . 18,27,36,45, etc, 3. 40,60,80,100,120,140 etc
Step-by-step explanation:
What is 86 X 10^4 the right andswer
real numbers are the set of numbers that includes all rational and irrational numbers
Answer:
it is absolutely correct
Please Answer. Identify the vocabulary word that matches the picture.
Answer:
Supplementary Angles
Step-by-step explanation:
When two angles add up to 90º they are complementary, when they add up to 180º they are supplementary.
a scale drawing of a school bus has a scale of 0.5 inch to 5 feet. if the length of the school bus is 4.5 inches on the scale drawing, what is the actual length of the school bus
Answer:
45 Feet
Step-by-step explanation:
0.5 goes into 4.5 9 times so 9 times 5 = 45
1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture.
Step-by-step explanation:
1 point
Match the inequality symbol with its definition:
VI
Less than or equal to
Less than
Greater than or equal to
Greater than
Step-by-step explanation:
If it looks like this: < with a line under it then it's called a less than or equal to sign.
If it looks like this: > with a line under it then it's a greater than or equal to sign
Andrew participated in a bicycle race. The total distance covered was 56
miles. If he cycled at a constant rate of 14 miles per hour, how much time
did Andrew take to complete the race?
O A) 1 hr.
B) 4 hr.
C) 7 hr.
OD 9 hr.
(B) 4 hr is the correct answer.
Explanation :★ Speed of body is defined as the ratio of distance travelled to the time taken[tex].[/tex]
speed = distance/timeGiven that,
distance = 56 miles
speed = 14 miles per hour
By substituting the values, we get
⭆ time = distance/speed
⭆ time = 56/14
⭆ time = 4 hr
Hope It Helps!Answer:
B
Step-by-step explanation:
Marlene is buying clothes online. she can pay one fee for the shipping of $8, and can get shirts on sale for $12 each. if her total was $104, how many shirts did she buy
Answer
8
Step-by-step explanation:
104 - 8, and then divide 96 by 12 equals 8
Point S is on segment BF such that the ratio of segment BS to segment SF is 1:4. If B has coordinates (-6,7) and F has coordinates (4,2) the coordinates of S are
A. (2,3)
B. (0,4)
C. (-2,5)
D. (-4.6)
Solve for the indicated variable.
8y + 7x = 9 for x
Answer:
x = 9-8y/7
Step-by-step explanation:
8y+7x=9
Subtract 8y from both sides.
7x=9−8y
Divide both sides by 7.
7x/7 = 9 - 8y/7
Dividing by 7 undoes the multiplication by 7.
x = 9-8y/7
(WILL GIVE LOTS OF POINTS, PLEASE HELP!!!) The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. (Enter the smaller leg of the triangle first.) Do not solve the equation.
Answer:
(COS) and something I forgot dude
Step-by-step explanation:
This is due today and I need some help please
Answer:
3.652 x 10^-4 = 0.0003652 (B)
Step-by-step explanation:
Since the exponent of the scientific notation is negative, move the decimal point 4 places to the left.
Hope this helps.
⭐️ I NEED HELP ASAP: Sam and Joe are brothers. Joe is five less than three times the age of Sam. If the product of their ages is 28, how old are Joe and Sam?
Please explain how you solved it too! Thank you!
Answer:
joe=6
Sam=11
Step-by-step explanation:
lets see...
i explain 1by1
firstly we know that joe is 5 - 3 x Sam
(read the sentences VERY CAREFULLY)
then, we put Sam as math variable "s"
it will be; 5-3 x S
[tex]5 - 3 \times s[/tex]
the total of their age is 28
[tex]5 - 3 \times s = 28[/tex]
simplify it
it will be 5-S3=28
then you will get 11 right
that will be sam's age
-5 and it will be Joe's age