Answer:
one solution because you combine like terms and your answer is p=4
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.
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What’s the slope of this chart?
1859 divided by 45 eeeee
Answer:
41.3111111111
Step-by-step explanation:
1859/45 = 41.3111111111
Answer:
41.31 with the 1 repeating.
Step-by-step explanation:
The x-intercept of the line given by 3y + 2x = -7 is:
A. 3 1/2
B. -3 1/2
C. -2 1/3
D. None of these
Answer:
put
Step-by-step explanation:
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:
d =−12 is one of two solutions of the equation |d+ 9|=3
true or false
Let's find out by replacing d with -12. Then we'll simplify the left side
|d+9| = 3
|-12+9| = 3 .... replace d with -12
|-3| = 3
3 = 3
Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.
Therefore d = -12 is one of the two solutions to the original equation.
Answer: TrueAnswer:
True
Step-by-step explanation:
We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.
| - 12 + 9 | = | - 3 | = 3 = right side
Thus x = - 12 is one of the solutions to the equation.
[ The other solution is x = - 6 ]
Write the following fraction as a decimal
299 792 458/ 1000000
what is it?
Answer:
0.00333564095
Step-by-step explanation:
1000000/299792458=Answer
A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?
Area of triangle = 1/2 x base x height.
Area = 1/2 x 16 x 1/8
Area = 8 x 1/8
Area = 1 square inch
The area of the triangle calculated using the area formula is 1 in²
Given the Parameters :
Base of triangle = 16 inches Height of triangle = 1/8 inchesArea of a triangle can be obtained using the relation :
Area = 1/2 × base × heightSubstituting the Parameters into the equation :
Area of triangle = 1/2 × 16 × 1/8 = 1 in²
Therefore, the area of the triangle is 1 in²
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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:
In the diagram below, find the value of y.
Answer:
y=130
Step-by-step explanation:
1) combine all like terms for the inside angles of the triangle
(3x-19) + (4x+8) + (x+7)3x-19+4x+8+x+78x-42) because the sum of all angles = 180 add that to the sum of all like terms
8x-4=180add 4 on both sides and divide both sides by 8this should be x=233) now you replace the x's with 23
(3(23) -19)69-19504) now we know that (3x-19)=50
5) take 180 and subtract 50
this is because y and (3x-19) creates a supplementary angle which also equals 1806) 180-50=130
(1 point) The linear function y=3x+30 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the rate of change in the average cost of a haircut over time.
Answer:
3 is the slope
Step-by-step explanation:
Mathematically, a linear function can be represented in the form;
y = mx + c
where m represents the slope and c is the y-intercept of the function.
In the equation given in the question above;
The slope of the equation is 3
What this means is that, the average rate of change between two points in the plot of the linear function is 3
Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3
6x+1/2(12x-8)=3x-31 what is the answer?
Answer:
x=−3
Step-by-step explanation?
i did the math
What is the opposite of -40 ?
Answer:
positive 40, just regular 40
Step-by-step explanation:
Positives and negatives are opposites
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
whats between 3.07 and 3.083
Answer: 3.765
Step-by-step explanation:
The graph to the right represents the cost of a taxi where X is distance and y is cost in dollars what conclusion can you make?
A) the taxi costs $1
B) The taxi will only stop once
C)The taxi will only take you farther than 1 mile
D) The taxi costs $1 just to get into a taxi
Answer:
The taxi costs $1 just to get into a taxi
Step-by-step explanation:
The base cost the taxi charges for it to be hired is $1 which is the point on the graph where the line intercepts the y-axis. At that point, distance or miles travelled is 0.
Therefore, we can conclude that the taxi would charge a customer for just to get a taxi, and the total cost will be dependent on the additional charges paid in addition based on the number of miles the customer will be driven to their destination.
The $1 is just the charge fee paid by the customer in addition to the per-mile charge he would pay.
Tammy can type 130 words in 5 minutes. How many words can she type in 20 minutes?
Answer:
520 words
Step-by-step explanation:
Do 130 words divided by 5 minutes to get 26 words per minute.
Then you do 26 times 20 to get the answer of 520
hope this helps!!
Answer:
520 words.
Step-by-step explanation:
We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.
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:
Given the function g defined by the formula g(x) =x − 5/2x-5 find the following:
Symmetry please hurry
i believe it is both but im not 100%
Help Me please I hate math:(
Answer:
What is the question?
Step-by-step explanation: .
Answer:
WHATS THE QUESTION
Step-by-step explanation:
11. What is the difference between a theorem and a postulate?
Answer:
A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.
Step-by-step explanation:
www.ck12.org
Answer:
A thorem is true and can be proven true vs a postulate is guessed true without any evidence.
Step-by-step explanation:
A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.
what are 3 points you can use to solve the equation:
-x-2y=8
Answer:
no idea
Step-by-step explanation:
Andrea jumped 5 times every 45 minutes. At that rate, how many
would she jump in 54 minutes?
bo optional
Answer:
6 times
Step-by-step explanation:
If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!
Solid Mixtures Problems
1. A grocer wishes to mix coffee worth $1.10 per pound with coffee worth $.80 per pound to
make 20 pounds of a blend to sell at $.89 per pound. How many pounds of each must he
mix?
:ititiff
Step-by-step explanation:
Can someone please help me here! Tell me the answer I’ll give a brainliest to the one who is right!
Answer:
False
Step-by-step explanation:
The equation is equal to -24 = -19. That's not true
Answer:
False. The equality is false because the left-hand and right-hand sides are different
i did the equation as the x in between 3 and (-8) as x, not times
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:
Find the missing side in the similar figure below
Answer:
30
Step-by-step explanation:
20 divided by 12 is 5/3.
18x5/3 is 30, meaning the missing side is 30.
The value of x from the diagram is 30
Similar shapesThese are shapes with the same sides and angles
From the given figures, we are to get the value of x as shown.
Using the similarity theorem;
18/12 = x/20Cross multiply
12x = 18 * 20
12x = 360
x = 30
Hence the value of x from the diagram is 30
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Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need
Answer:
Illogical
Step-by-step explanation:
Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads
Answer:
84
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.
(100 POINTS AND BRAINLIEST)
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
IMMEDIATE PLEASE.
Answer:
[tex]-1/13\text{ tub per hour}[/tex]
Step-by-step explanation:
First, let's find how much of the tub was used within the time.
We know that the tub was 2/3 full was Jenna started.
And it was only 1/6 full when Jenna ended.
Therefore, to find the amount used, we can subtract 1/6 from 2/3. So:
[tex]u=\frac{2}{3}-\frac{1}{6}[/tex]
Make a common denominator. Change 2/3 to 4/6 by multiplying both layers by 2. So:
[tex]u=\frac{4}{6}-\frac{1}{6}[/tex]
Subtract and reduce:
[tex]u=\frac{3}{6}=\frac{1}{2}[/tex]
Therefore, 1/2 of the tub was used after 6 1/2 hours.
To find the average hourly change, we will put the amount used over the amount of hours. 6 and 1/2 hours is the same as 13/2 hours. Therefore, the hourly change will be:
[tex]c=\frac{\frac{1}{2}}{\frac{13}{2}}[/tex]
Remember when dividing fractions, we:
1) Flip the divisor (the second number).
2) Change the division sign to a multiplication sign.
3) Multiply.
So:
[tex]c=\frac{1}{2}\div\frac{13}{2}\\\Rightarrow c=\frac{1}{2}\times \frac{2}{13}[/tex]
Multiply straight across and reduce:
[tex]c=\frac{2}{26}=\frac{1}{13}[/tex]
However, since we are using up the tub, our rate will be negative. Therefore:
[tex]c=-\frac{1}{13}[/tex]
Therefore, the average hourly rate was -1/13 tub per hour.
This means that after each hour, 1/13 of the tub will be used up.
Edit: Corrected Wrong Answer
Answer: -1/13 of a tub per hour
Step 1: Subtract.
2/3 - 1/6 = ?
Step 2: Find the common denominator.
4/6 - 1/6 = 3/6.
Step 3: Simplify the fraction.
3/6 = 1/2
Step 4: Put 1/2 over 13/2.
1/2 over 13/2
Step 5: Flip divisor around. Then divide.
1/2 ÷ 13/2
Step 6: Multiply.
1/2 × 2/13 = 2/26.
2/26 reduced = 1/13.
Since it was used, now it is -1/13
Answer = -1/13 of a tub per hour