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[tex] \cos( \alpha ) = x[/tex]
[tex] {sin}^{2}( \alpha ) = 1 - {cos}^{2}(x) [/tex]
[tex] {sin}^{2}( \alpha ) = 1 - ({x})^{2} [/tex]
[tex] \sin( \alpha ) = ± \sqrt{1 - {x}^{2} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Look :
[tex] \sin(2 \alpha ) = 2. \sin( \alpha ) . \cos( \alpha ) [/tex]
[tex] \sin(2 \alpha ) = 2 \times ( ± \sqrt{1 - {x}^{2} })(x) \\ [/tex]
[tex] \sin(2 \alpha ) = ± \: 2 \: x \: \sqrt{1 - {x}^{2} } [/tex]
________________________________
[tex] \cos(2 \alpha ) = {cos}^{2}(x) - {sin}^{2}(x) [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - ({± \: \sqrt{1 - {x}^{2} } })^{2} \\ [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - |1 - {x}^{2} | [/tex]
If | 1 - x² | ≥ 0 :
[tex] \cos(2 \alpha ) = {x}^{2} - (1 - {x}^{2}) [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - 1 + {x}^{2} [/tex]
[tex] \cos(2 \alpha ) = 2 {x}^{2} - 1 [/tex]
If | 1 - x² | < 0 :
[tex] \cos(2 \alpha ) = {x}^{2} - ( - 1 )(1 - {x}^{2} ) \\ [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} + 1 - {x}^{2} [/tex]
[tex] \cos(2 \alpha ) = 1 [/tex]
_________________________________
[tex] {sin}^{2}( \frac{ \alpha }{2} ) = \frac{1 - \cos( \alpha ) }{2} \\ [/tex]
[tex] {sin}^{2}( \frac{ \alpha }{2} ) = \frac{1 - x}{2} \\ [/tex]
[tex] \sin( \frac{ \alpha }{2} ) = ± \sqrt{ \frac{1 - x}{2} } \\ [/tex]
_________________________________
[tex] {cos}^{2}( \frac{ \alpha }{2} ) = \frac{1 + \cos( \alpha ) }{2} \\ [/tex]
[tex] {cos}^{2}( \frac{ \alpha }{2} ) = \frac{1 + x}{2} \\ [/tex]
[tex] \cos( \frac{ \alpha }{2} ) = ± \sqrt{ \frac{1 + x}{2} } \\ [/tex]
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Thus the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which expression is not equivalent to 36x−48? 12(3x−4) 9(4x−6) (6x−8)6 (12x−16)3
Answer:9(4x-6) is not equivalent to 36x-48.
Step-by-step explanation:
9 x 4x= 36x
9 x -6 = -54
25 POINTS AND WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Suppose a lab needs to make 400 liters of a 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equations can be used to find the number of liters of each solution that should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.
Answer:
the first one correct the one in the above i agree with her/him
We want to compare the quality of three Tablet products: Tablet Product A has a Mean Time Between Failures (MTBF) 10,000 hours, and a Mean Time To Repair (MTTR) or 10 hours. Product B has a MTBF of 11,000 hours and a MTTR of 11 hours. Product C has a MTBF of 12,000 hours and MTTR of 12 hours. Which tablet has better Availability
Answer:
The Availability of tablets A,B and C are equal
Step-by-step explanation:
Computation for Which tablet has better Availability
Using this formula
Availability of Tablet=MTBF/ ( MTBF + MTTR)
Where,
MTBF represent Mean Time Between Failures
MTTR represent Mean Time To Repair
Let plug in the formula
Availability of Tablet A = 10,000hrs/(10,000hrs + 10hrs)
Availability of Tablet A= 0.999
Availability of tablet B = 11,000hrs/( 11,000hrs + 11hrs )
Availability of Tablet B= 0.999
Availability of Tablet C = 12,000hrs/ ( 12,000hrs + 12hrs)
Availability of Tablet C= 0.999
Based on the above calculation the Availability of all the 3 tablets are equal
Therefore the Availability of tablets A,B and C are equal.
Each big square below represents one whole.
-
What percent is represented by the shaded area?
%
The Answer Is most likely 191% but the proper percent is 95.5%
EDGE PRECAL 2020
Select the place in which an error first occurs in the proof of Sine (StartFraction t Over 2 EndFraction).
Statement 1
Statement 2
Justification 1
Justification 3
Answer:
Step-by-step explanation:
Answer:
Statement 2
Step-by-step explanation:
please help this is due soon i’ll mark brainliest if your correct
The answer fam is ........ QR = sqrt3 × PR
QR = sqrt3/2 × PQ
PQ = 2 × PR
Number of Customers
The scatter plot shows the relationship between the average
number of nightly customers and the number of months since a
restaurant opened. The equation represents the linear model for
this data
300
270-
240-
y = 5x + 120
210-
180
What does the number 5 in the equation mean in this context?
Average nightly customers
150
O The restaurant has been open for 5 months
.
120
The average number of customers per night
increased by 5 each month
90
60
There were 5 customers per night when the
restaurant opened
30
O
There were 5 customers per month after the
restaurant was open 120 months.
8
9
10
Time (months)
For every 5 months the restaurant has been open,
there are 120 more customers per night
Answer:
The average number of customers per night increased by 5 each month.
Step-by-step explanation:
hope this helps! :)
For each equation, tell whether it is always true, sometimes true, or never
true.
Answer:
never
Step-by-step explanation:
5x-1= 9
+1 +1
5x/5=10/5
x=2
please help me someone ASAP
Solve it please I need help
Hi BRANDON, when you submit this form the owner will be able to see your name and email address.
* Required
1
Baseball - Part A
Rodney played in a baseball tournament.
During the first game, Rodney attempted to hit the ball 6 times, but only hit the ball 4 times.
During the second game. Rodney attempted to hit the ball 2 more times than the first game,
and hit the ball a total of 4 times.
In the first game, what is the ratio of Rodney's actual hits to Rodney's attempts to hit the ball?
(1 Point)
Answer:
8:8 or 1:1
Step-by-step explanation:
You need to add 6 and 2 together because those are the two numbers of times Rodney attempted to hit the ball. You should get 8. You also, need to add 4 and 4 together because those are the times Rodney actually hit the ball. You should also get 8. To get the ratio you need to compare the two outcomes and put them into this format: 8:8. But since they're both the same number, that means you can simplify it. Just divide them both by 8 to get 1:1. I hope this helps, Brandon!
Evaluate. Write your answer as a fractionin simplest form.
216−(−83)+(−479)=
You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,18
Answer:
8
Step-by-step explanation:
can someone please answer this for me
Answer:
BC = 1.7
Step-by-step explanation:
Since, cosine of any angle (except right angle) represents the ratio of base length and hypotenuse.
Cosθ = [tex]\frac{\text{Base}}{\text{Hypotenuse}}[/tex]
From the given right triangle ΔACB,
[tex]\text{Cos}(\angle B) = \frac{\text{Base}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{BC}{AB}[/tex]
Cos(70°) [tex]=\frac{BC}{5}[/tex]
BC = 5Cos(70°)
= 1.71
≈ 1.7
Giving brain thing
TRUE OR FALSE: When working with y=mx+b, m stands for the slope and b 1 poir
stands for the y-intercept.
O True
False
Answer:
True
Step-by-step explanation:
y= mx + b
y= slopex + y intercept
slope would be the rise and run with x, then you'd add the y intercept
ex: y= 3x + 7
How would you write a phrase that represents the expression 7(n - 12)?
Question 7
Water fills a crack in a rock. The temperature drops below freezing. What is likely to happen?
A
The water in the crack will evaporate.
B
The water will freeze and the crack in the rock will expand.
с
The water will freeze and the crack will stay the same
D
The water in the crack will protect the rock from further cracks
Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or descrease.
1. Zach boought a pair of jeans for $54. The next week he noticed that the price for the same pair of jeans was now $74. Find the percent of change
2. 40 to 25
3. 120 to 140
Answer:
>
Step-by-step explanation:
The function g(x)= 12,500(0.91)x represents the value of a piece of farm equipment after x years
if angle 3 and angle 4 are corresponding angles, then their vertical angles are also corresponding angles
always sometimes or never
Explanation:
Drawing out a diagram usually helps with these types of problem. See the diagram below.
We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.
(a) Find the p - value for the test statistic =1.34
z=1.34 for the following null and alternative hypotheses:
0:=50
HA:μ>50
The p - value is
Look at a z table and look up z = 1.34.
The number associated with z = 1.34 is 0.9099
The p value is that value subtracted from 1.
P value = 1 − 0.9099 = 0. 0901
The p - value for the test statistic should be considered as the 0.0901.
Calculation of the p-value:Since there is null and alternative hypotheses
so here we look at the z table and then the value should be 1.34
So, the value of z in 1.34 should be 0.9099
So, here the p-value should be
= 1 - 0.9099
= 0.0901
hence, The p - value for the test statistic should be considered as the 0.0901.
learn more about null here: https://brainly.com/question/18831983
help me solve:
xc-r-d, for x
Answer:
lol you cant
Step-by-step explanation:
The cost of 5 gallons of ice cream has a standard deviation of 7 dollars with a mean of 25 dollars during the summer. What is the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected?
Answer:
0.000221
Step-by-step explanation:
Using the z score formula when a random number of samples is given =
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation = 7
n is random number of samples = 83
Note that:2.2 dollars = x-μ
z = 2.2/7/√8.3
z = 3.51402
Probability value from Z-Table:
P(x<27.7) = 0.99978
P(x>27.7) = 1 - P(x<27.7) = 0.00022069
Approximately = 0.000221
Hence, the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected is 0.000221
Find the hypotenuse of a right triangle given the sides 8 cm and 6 cm.
Answer:
height=10cm
Step-by-step explanation:
hypotenuse= [tex]\sqrt{base^{2}+height^{2} }[/tex]
h=[tex]\sqrt{8^{2}+6^{2} }[/tex]
h=[tex]\sqrt{100}[/tex]
h=10
Which shows the greatest common factor of these numbers being 14?
Answer:
of what numbers
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
The reason it is b is because i just did the question and it was right
Find the number of five-digit numbers less than 40 000 in which the three-digit numbers formed by a consecutive digits are all divisible by either 17 or 23. Remember, zero cannot be the first digit in a three-digit number.
Please show grade 7 math work
Answer:
Following are the code to this questiuon:
def fiv(y):#defining a method fiv that hold a parameter
x = str(y) #defining a variable x that convert the value y in string
return three(x[0:3]) and three(x[1:4]) and three(x[2:5])#use return keyword to call the method three
def three(x): #defining a method three that hold x variable as a parameter
y = int(x) #use y to convert x in integer
return y>=100 and (y%17==0 or y%23==0) #use return that gives a value which is divisiable by 17 or 23
print([y for y in range(10000,40000) if fiv(y)])#use print method to print value
Output:
Please find the attached file.
Step-by-step explanation:
In the above code, two methods "fiv and three" is declared that accepts one variable as a parameter, which can be defined as follows:
In the fiv method, an "x" variable is defined that covert the value into a string and use to call the three methods.Inside the three methods, a y variable is declared, that convert the value into integer and use return keyword, that checks value is divisible by 17 or 23. In the print method, it accepts the given value, which is passed in the loop to print the value.Suppose x^2+ y^3 = 2. Find dy /dx
dy/dx=2x/3y^2
Differient each term with respect to x, then solve for y.
Add (2m^2n + 5mn^2 - 7mn) ; (2m^2n - mn^2 + mn
Answer:
Step-by-step explanation:
(3m+2n)/(m-n2)+(5m+n)/(n-m2)-(2m-3n)/(m2-n)
Final result :
-3m3 - 2m2n + 7m2 - 7mn2 + mn + 2n3 + 2n2
—————————————————————————————————————————
(m - n2) • (n - m2)
Step by step solution :
Step 1 :
2m - 3n
Simplify ———————
m2 - n
Trying to factor as a Difference of Squares :
1.1 Factoring: m2 - n
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : m2 is the square of m1
Check : n1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 1 :
(3m+2n) (5m+n) (2m-3n)
(————————+————————)-———————
(m-(n2)) (n-(m2)) m2-n
Step 2 :
5m + n
Simplify ——————
n - m2
Trying to factor as a Difference of Squares :
2.1 Factoring: n - m2
Check : n1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 2 :
(3m+2n) (5m+n) (2m-3n)
(————————+——————)-———————
(m-(n2)) n-m2 m2-n
Step 3 :
3m + 2n
Simplify ———————
m - n2
Trying to factor as a Difference of Squares :
3.1 Factoring: m - n2
Check : m1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Equation at the end of step 3 :
(3m + 2n) (5m + n) (2m - 3n)
(————————— + ————————) - —————————
m - n2 n - m2 m2 - n
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : m-n2
The right denominator is : n-m2
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
m-n2 1 0 1
n-m2 0 1 1
Least Common Multiple:
(m-n2) • (n-m2)
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = n-m2
Right_M = L.C.M / R_Deno = m-n2
7,270 place vaule whole number ?
Answer:
ThousandsHundredsTensOnes7270
Step-by-step explanation:
Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch
I put this as the answer 1174.50 and my teacher said I got the answer wrong
Answer:
$1435.50 is your answer
Step-by-step explanation:
$2610 - 45% = 1435.50