Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
Find out more information about double angle identity here
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Which is the net force acting on a 1.7-kg object that is accelerating at 5.0 m/s??
A. 8.5 N
B. 2.9 N
C. 0.34 N
D. 3.3 N
Answer:
A. 8.5 N
Step-by-step explanation: F = 8.5 N
I’m timed please help
The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take
O 4 1/8
O 4 3/8
O 5 5/7
O 5 7/8
what is.
m + 0.6 = 2.6
Answer:
m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
113
Step-by-step explanation:
Answer:
diameter =6 cm
radius =3cm
shaded area =area of square- area of circle
= a^2 - πr^2
=(6)^2-3.142(3)^2
=36-3.142×9
=36-28.278
=7.622
mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?
Answer:
6.08333333 hours
Step-by-step explanation:
((42 hours) + (35 minutes)) / 7 = 6.08333333 hours
hope this helps LOL :)
Answer:
511 min or 8 hrs and 52 min
Step-by-step explanation:
first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.
then divide by 5 which gives you the adverage of 511 min
convert answer into hours which is about 8 hours and 52 min rounding up
-1,000 -999 < > or = and why
Answer:
-1,000
Step-by-step explanation:
Answer:
The answer is -1,000 > -999
Step-by-step explanation:
That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller
Choose a system of equations with the same solution as the following system:
6x + 2y = −6
3x − 4y = −18
a) 8x + 4y = −4
17x + 2y = −28
b)12x + 4y = 12
21x + 2y = −36
c) 6x + 8y = −36
15x + 6y = −60
d)6x + y = 15
15x − y = −9
Answer: A. 8x + 4y = -4
17x + 2y = -28
Step-by-step explanation:
What's the range of this function graph?
Question 3 options:
A)
(–∞,2)
B)
[2,∞)
C)
(–2,∞)
D)
[–2,∞]
Answer:
B [2,∞)
Step-by-step explanation:
The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
3x + 6y = 42 and -7x + 8y = -109 solve by elimination
Answer:
Point Form
(15,-1/2
Equation Form
x=15 and y= -1/2
Step-by-step explanation:
8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where [tex]A[/tex] is the final population
[tex]A_0[/tex] is the initial population
[tex]b[/tex] is the growth factor
[tex]c[/tex] is the time taken for the growth 'b'
[tex]t[/tex] is the amount of time
Here, we are given that:
[tex]A[/tex] = 6. 9 grams
[tex]A_0[/tex] = 110.4 grams
[tex]b = \dfrac{1}{2}[/tex]
[tex]c = 2.347[/tex] min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].
Putting the values in the formula, we get:
[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]
Therefore, the answer is:
4 half lives have passed.
b.) Total time of decay. We have to find the value of [tex]t[/tex] here.
From answer of part a.):
[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]
12.009 write in word form
A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *
Answer:
1.4 inches.
Step-by-step explanation:
Given that the length of the pool = 200 ft.
Scale factor = 1725.
As,
[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]
So,
[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]
By using the given values, we have
{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]
As 1 foot = 12 inch,
So, scaled length = 0.116 x 12 = 1.4 inches.
Hence, the scale length of the model = 1.4 inches.
Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:
Answer:
119.38
Step-by-step explanation:
Answer:119.3805208 inches
Step-by-step explanation:
Set up a proportion for the problem.
11 is what percent of 33 ?
Answer:
its 3 percent
Step-by-step explanation:
Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?
Answer:
$568.95
Step-by-step explanation:
Given parameters:
Value of loan = $18965
Interest rate = 3%
Time = 1year
Unknown:
Interest = ?
Solution:
The interest on a particular amount is given as:
I = [tex]\frac{PRT}{100}[/tex]
I is the interest
P is the principal
R is the rate
T is the time
I = [tex]\frac{18965 x 3 x 1}{100}[/tex] = $568.95
help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D. should be the answer
Ha, Asa and Aas are correct because there is only one known side, and two known angles, making these postulates correct.
If x = 4, what is the value of 4/5 (2 + 7) − 2/3 (2 + 7)?
A 2
B 5
C 15
D 22
Answer:
d=56
Step-by-step explanation:
pattern 60 52 44 36
if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept
Answer:
y = -3/5x + 1
Step-by-step explanation:
why did my dog eat my cat???
Answer:
'Cause he was yummy and cats are ugly.
help big points, need quickly pls pls pls
Answer:
use photomath and if that dont work use m a t h w a y
Step-by-step explanation:
Please answer the 2 questions if you can? (This is my math from 8th grade)
Answer:
8.no answer A. x=8
Step-by-step explanation:
10.no answer B. x= -3
Answer:
8. (A) x = 8 , 10. (C.) x = 3
Step-by-step explanation:
Number 8 you could do 75 - 35 = 40
so what can you multiply 5 by (x) to get 40? you would multiply 5 by 8 or (x) and get 40
then add 35 + 40 to get 75 degrees which is the parallel angle to the other 75 degrees.
Number 10 you just want to get them to the same number.
so you would do ( 97 - 3 ) to get the ANSWER 87.
so x = 3
there are 17 boxes each box holds 42. how many packets of sweets are there in total?
Answer: 714
Step-by-step explanation:
42 • 17 = 714
divide to check if it is correct
714 ÷ 42 = 17 or 714 ÷ 17 = 42
hope it helps!
Answer:
No.of sweets in one box = 42
No.of sweets in 17 boxes = 42 x 17
= 714
Isidro wants to purchase a used scooter that costs $89.75. The sales tax is found by multiplying the price of the scooter by 0.08. Find the total amount of money Isidro will pay. Round to the nearest cent.
Answer:
96.93
Step-by-step explanation:
89,75+
The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
a. Find the probability that the truck driver goes more than 650 miles in a day.
b. Find the probability that the truck drivers goes between 400 and 650 miles in a day.
c. At least how many miles does the truck driver travel on the furthest 10% of days?
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
Help anyone 5th grade math
Answer:
Equal???
Step-by-step explanation:
is 16-7=4+5 true, false, or open?
Answer:
open
Step-by-step explanation:
Answer:
This is True.
Step-by-step explanation:
16-7=9
5+4=9
same ting
Which equation represents a line which is parallel to the line 2y-5x=-162y−5x=−16?
Answer:
Step-by-step explanation:
For two lines to be parallel to each other, they must have the same slope.
The standard form of expressing equation of a line is y = mx+c
m is the slope.
First let us get the slope of the given line
Given the line 2y-5x = -16
Rerwrite in standard form;
2y-5x = -16
2y = 5x-16
Divide through by 2;
2y/2 = 5x/2 -16/2
y = 5x/2 - 8
The slope of the line is 5/2
Since we are not given options, we can as well say that the equation of the line parallel to this line must have a slope of 5/2 no matter the intercept. Example of such line are;
y = 5/2 x + 2