1. Express 12-2 as a unit fraction.
Answer:
12/2
Step-by-step explanation:
Review the steps in the derivation of the tangent sum identity. The steps are not in order.
A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 has entries StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartStartFraction StartFraction sine (x) cosine (y) Over cosine (x) cosine (y) EndFraction + StartFraction cosine (x) sine (y) Over cosine (x) cosine (y) EndFraction OverOver StartFraction cosine (x) cosine (y) Over cosine (x) cosine (y) EndFraction minus StartFraction sine (x) sine (y) Over cosine (x) cosine (y) EndFraction EndEndFraction, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction, StartFraction sine (X) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction.
Which list shows the steps in the correct order?
I --> II --> IV --> III
I --> IV --> II --> III
III --> I --> II --> IV
III --> I --> IV --> II
Answer:
The answer is B: I IV II III
Step-by-step explanation:
Just did it
The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.
What is trigonometric identity?The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.
For the given situation,
The derivation for the tangent sum identity is given in the table below.
The derivation follows the steps,
[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]
we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,
[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and
[tex]\frac{sinx}{cosx}=tanx[/tex]
⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]
Divide each term by [tex]cosxcosy[/tex]
⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]
⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]
Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.
Learn more about trigonometric identity here
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Traeq pays 35.34 for 3.1 pounds of salmon. What is the price per pound of salmon
Find the measure of the missing angles.
b
103
b=
C=
Answer: both b and c equal 77 degrees
Step-by-step explanation:
103+103=206
360-206=154
154/2=77
9. The mass of a dust particle is 0.000000000753 kg, which can be written as 7.53 x 100
kg in scientific notation. What is n?
Answer:
7.53 x 10²
Step-by-step explanation:
10² two time the 10 is 100
Answer:
Uuuuuuuh. What is n? There's no n in your question.
Step-by-step explanation:
Also that scientific notation equation there is false. It would be 7.53x10 to the 10th power.
a leftward shift of the supply curve for widgets, ceteris paribus will cause equilibrum price to
A. Rise and equilibrium quantity to rise
B. fall and equilibrium quantity to fall
C. Rise and equilibrium quantity to fall
D. Fall and equilibrium quantity to remain unchanged
Answer: c. Rise and equilibrium quantity to fall
Step-by-step explanation:
The supply curve shows the relationship that exists between the price of a product and the quantity that's been sold by the consumer.
A leftward shift of the supply curve for widgets implies that there's a reduction in the quantity supplied. Since there's a reduction, there'll be few widgets which will lead to increase in equilibrium price and fall in the quantity.
How do I convert 0.75 to a frction in simplist form?
Answer:
Ok so the fraction is 3/4
I'm letting google answer the other question though.
Step-by-step explanation:
PLease please please help quick
Answer:
B
Step-by-step explanation:
Same as last. multiple 8 into the entire equation.
Answer:
-80x+28y-56
4(-20x+7y-14)
Step-by-step explanation:
Dave uses the function P(d)=20d-20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and d the number of dogs he walks.
Interpret the meaning of the equation below using the context of the problem.
P(3)=40
Dave's profit is ____ when he walks _____dogs.
The HCF of two numbers is 16 and their product is 3072. Find their LCM
Answer:
192
Step-by-step explanation:
16 × LCM = 3072
LCM = 3072 ÷ 16
LCM = 192
Mrs Ross runs a tutoring business she charges $35 an hour plus a $50 application fee her competitor Mrs brand charges $45 an hour plus $25 application fee right an equation that represent the situation when the cost to be tuned by Mrs Ross and Mr brand is the same
Help Me please I hate math:(
Answer:
What is the question?
Step-by-step explanation: .
Answer:
WHATS THE QUESTION
Step-by-step explanation:
What is the opposite of -40 ?
Answer:
positive 40, just regular 40
Step-by-step explanation:
Positives and negatives are opposites
What is the value of x in this equation? 2x + 10 = -28
Answer:
X=19
Step-by-step explanation:
2x + 10 = -28
-10 -10 Subtract 10 from both sides
divide both sides by 2
That gives you
X= 19
50 points! PLEASE HELP ME !!! I need this done asap!
Answer:
See Below.
Step-by-step explanation:
We want to write a paragraph proof to prove the following theorem:
If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.
Each sentence is numbered:
1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.
2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.
3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.
4) The Division Property of Equality then yields m∠M = 90.
5) Substitute m∠N for m∠M to get m∠N = 90.
6) By the definition of right angles, ∠N and ∠M are right angles.
11
12 13 14 15
Enter an expression that represents the following statement, and then solve the expression.
3 less than the product of 9 and -5.
The expression is
The value of the expression is
Answer:
-48 would be the answer
Step-by-step explanation:
product means result of multiplication, so the product of 9x-5=-45 and when it says 3 less than, it means subtraction so we would subtract 3 from -45 which is -48.
8. To which subsets of the real numbers does the number 13 belong?
Answer:
irrational numbers
Step-by-step explanation:
8.
sqrt(13) is not a whole number, a natural number, an integer, or a rational number.
Answer: irrational numbers
which of the following expression is NOT equivalent to -17 -(-5)?
A: 5+(-17)
B: -17-5
C:-17+5
D:-12
Answer:
The answer is B.
Reasoning:
-17 - (-5) = -12A. 5 + (-17) = -12✔
B. -17 - 5 = -22 ✖
C. -17 + 5 = -12 ✔
D. -12 ✔
Answer:
B: -17+5
Step- by- step explanation
Which inequality has the solution set shown on the graph?
a.-54n 1080
c.594 > -11n
d.594 < -11n
Answer:
594 > -11n
Step-by-step explanation:
the answer is c lol
Answer:
The answer is C
Proof:
Step-by-step explanation:
can someone please answer me this question ASAP!!!!
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
Question 7(Multiple Choice Worth 1 points)
3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance
if sales tax is 8%, what is the tax one a sale of $400.00
A. $3.20
B.$32.00
C.$320.00
D.$0.32
Answer:
b
Step-by-step explanation:
400*.08
32.00
Answer:
its B
Step-by-step explanation:
A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. How much does an ice cream cost with 4 ounces of toppings?
Answer:
5 dollars
Step-by-step explanation:
an ice cream is 3 dollars and 1 ounce of toppings is 50 cents 0.5 dollars times 4 equals 2 dollars. so 3+2 equals 5
Answer:
$5.00 I believe.
Step-by-step explanation:
Eagletrons are all electric cars produced by Mogul motors. One of the concernsof Mogul is that the Eagletrons be capable of achieving appropriate maximumspeeds. To monitor this, Mogul executives take samples of 8 Eagletrons at atime. For each sample, they determine the average maximum speed and the rangeof the maximum speeds within the sample. They repeat this with 35 samples toobtain 35 sample means and 35 ranges. They find that the average sample mean is88.50 mph and the average range is 3.25 mph. Using these results, theexecutives decide to establish an R chart. They would like this chart to beestablished so that when it shows that the range of a sample is not within thecontrol limits, there is only approximately a .0027 probability that this is dueto natural variation. What will the upper control limit (UCL) and the lowercontrol limit (LCL) in this chart?
Trying to confirm that what I came up with is correct.
Answer:
upper control limit = 6.058
lower control limit = 0.442
Step-by-step explanation:
Given that:
The numbers of sample n Mogul executives took = 8 Eagletrons at a time.
They find out that the average sample mean is 88.50 mph and;
the average range [tex]\overline r[/tex] is 3.25 mph.
From the tables:
[tex]\text {Table values for n = 8 } \left \{ {{D_4=1.864} \atop {D_3=0.136}} \right.[/tex]
Control Limit = [tex]\overline r[/tex] = 3.25
Therefore; the upper control limit and the lower control limit can be computed as follows:
upper control limit = [tex]D_4 \overline r[/tex]
upper control limit = 1.864(3.25)
upper control limit = 6.058
lower control limit = [tex]D_3 \overline r[/tex]
lower control limit = 0.136(3.25)
lower control limit = 0.442
9. If the area of a rectangle measures 20 square inches, the side lengths
must be 4 inches and 5 inches.
Answer:
True
Step-by-step explanation:
The given statement is true.
Area of a rectangle is length times width.
A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.
[tex]A=l*w\\\\A=4*5\\\\A=20[/tex]
Hope this helps.
Answer:
False
Step-by-step explanation:
There can be two sets of side lengths 4, 5 inches and 2, 10 inches.
can someone help please i am really confused
Answer:
so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42
What are the transformations to the graph compared to the parent function y=√(x)?
this is due tonight and i really need this answer, whoever answers god bless.
Answer:
a. f(1) = -4
b. One value of x for which f(x) = -1 : 2 (or -2)
Step-by-step explanation:
a. To find f(1), we would have to find what the value of the function would be when x = 1. By using the given graph, we can find the f(1) by finding what the y-value is when x = 1. Looking at the graph, we can see that when x = 1, y = -4. Thus, f(1) = - 4.
b. Now we are also asked to find one value of x for which f(x) = -1. In other words, what values of x would make the value of the function equal to -1? We can find values of x for which f(x) = -1 by using the graph and seeing for which x-values would the y-value be -1. We can see that y = -1 at x = -2 and x = 2. So the values of x at which f(x) = -1 are -2 and 2. You can choose either one of these values.
I hope you find my answer and explanation to be helpful. Happy studying.
6x+1/2(12x-8)=3x-31 what is the answer?
Answer:
x=−3
Step-by-step explanation?
i did the math
Symmetry please hurry
i believe it is both but im not 100%
What is 2 /34 × 4/5 plsssss help
Answer:
0.04705882352
Step-by-step explanation:
Yeah, I don't really have an explanation, sorry. I guess you just turn them both into decimals and multiply afterwards.
2/34 x 4/5 = 4/85, or 0.04705882...