Answers
Step-by-step explanation:
[tex]\sin(\theta + \phi) = 2\cos(\theta - \phi)[/tex]
Using the addition identity formulas, we can write
[tex]\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}[/tex]
Dividing both sides by [tex]\cos{\phi}[/tex], we get
[tex]\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}[/tex]
Dividing both sides by [tex]\sin{\theta}[/tex], we get
[tex]\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}[/tex]
or
[tex]\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}[/tex]
Rearranging the terms,
[tex]\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}[/tex]
Related Questions
Can a set of data having two modes have two points of central tendency
Answers
Answer:
The Measure of Central Tendency are
1. Mean
2. Median and Quartiles
3. Mode
4. Geometric Mean
5. Harmonic Mean
→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.
→Now consider the two data sets,
A=3,4,4,5
B=1,4,4,7
Both the Data set have , same mean, median, and Mode,which is equal to 4.
→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.
Step-by-step explanation:
A measure of central tendency is a descriptive statistic
The correct response to the question is as follows;
Yes; A data having two modes can have two points of central tendency
The reason a dataset having two modes can have two points of central tendency is as follows:
A dataset having two modes is said to be bimodal
A dataset having three modes is said to be trimodal
A dataset having more than three modes is said to be multimodal
A measure of central tendency is a type of summary statistics that is a
single value representing the center point, or average of a set of data
thereby providing a description of the data by telling the middle value, the
average or the most common value which is the mode
As can be seen from the given example, by having two modes, a bimodal
data set describes a data that has two points of central tendency, thereby
giving a description of the data type, which for example may a collection
of the height of individuals, male and female, that have two most common
height values for each gender
Therefore, the correct response is yes, a dataset having two modes can
have two points of central tendency because the mode is a measure of
central tendency which is a descriptive statistics
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Which of the following correctly uses exponents to write "6 factors of 2"?
26
6.2
12
62
Answers
Answer:
A. 26
Step-by-step explanation:
The base number (the first number) is what will be multiplied and the exponent is how many times you're multiplying the number, so for this it would be
2 x 2 x 2 x 2 x 2 x 2
Find the area of the triangle.
A. 75 km²
B. 107.3 km²
C. 84.3 km²
D. 71.8 km²
Answers
Answer:
A. 75 km²
Step-by-step explanation:
The area of a triangle
A =1/2 ab sin C where a and b are the lengths of the sides and C is the included angle
A = 1/2 (14)(11) sin (77)
A = 75.0264949885
Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)
Answers
Answer:
[tex]2 {b}^{2} - 5b - 63[/tex]
Step-by-step explanation:
[tex](b - 7) \times (2b + 9)[/tex]
[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]
[tex]2 {b}^{2} + 9b - 14b - 63[/tex]
[tex]2 {b}^{2} - 5b - 63[/tex]
Solve for x: (1/3)x = 81
Answers
Answer:
243
Step-by-step explanation:
1 /3 x=81
Step 1: Multiply both sides by 3.
3*( 1 /3 x)=(3)*(81)
x=243
The value of x for the expression (1/3)x = 81 is 243.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expression is,
(1/3)x = 81
To find the value of x,
Solve the expression,
(1/3)x = 81
x = 81 x 3
x = 243
The required value of x is 243.
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Could use help on this math problem
Answers
Answer:
78
90
86
96
09
Step-by-step explanation:
80
90
90
OK LA sir I will complete my work as soon as possible LA thank you la madam My name is now signing off
Multiple 8x^8(-6x^3+5x^2+5x)
Answers
Answer:
First, start by applying the distributive law property to the given equation:
8x^8(-6x^3+5x^2+5x)
So, it'll go like this --> x (a + b + c) = xa + xb + xc
After you have the equation in this form you will then simplify.
See the steps below for better understanding.
(the answer is highlighted in red)
the area of a triangle is 6.75m. if the base of the triangle is 3m what is the height of the triangle?
Answers
Answer:
4.5m
Step-by-step explanation:
The formula for triangle is
1/2 x base x height = area
1/2 x 3 x h = 6.75m
h = 6.75 ÷3÷1/2
h = 4.5m
in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket
Answers
The 300 that play volleyball includes them.
That’s mean that 190 (300-110) play only volleyball
Also (the same) 200 play cricket, so only cricket play 90 students (200-110)
Answer: either volleyball or cricket is
(300-110)+(200-110) = 190+ 90 = 280
Answer: 280
Write 4 2/5 as an improper faction
Answers
Answer:
22/5
Step-by-step explanation:
4 [tex]\frac{2}{5}[/tex]
new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22
=> 22/5
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
Answers
Answer:
a = 3 and b = 2
Step-by-step explanation:
From completion of squares:
[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]
a is 3
b is 2
Answer:
Answer B : a = 3 and b = 2
Step-by-step explanation:
Give man above brainlyiest he deserives it
what is trigonometry ?
no explanation required !
Answers
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
How would you solve for f(-x) ?
f(x) = x^2 +3x + 9
Answers
9514 1404 393
Answer:
f(-x) = x^2 -3x +9
Step-by-step explanation:
Use -x as the argument of the function.
f(-x) = (-x)^2 +3(-x) +9
f(-x) = x^2 -3x +9 . . . . . . . . simpify
HELP PLS! ;P
Find n.
A. 5√3
B. 5
C. 10√3/3
D. 10
Answers
Answer:
B
Step-by-step explanation:
tan(30)=n/(5*sqrt(3))
=> n=5
please help me to do this question
Answers
Answer:
firdt method is
Length x breath
is equal to ½
Which of the following functions is odd?
PLZ HELP URGENT
Answers
Answer: Choice D
Explanation:
This is because all of the exponents are odd for this polynomial. It might help to think of that 4x as 4x^1.
15. x = 27 + 10 P. _; PQ = 12 •R 1 + 18
Answers
Answer:
5
Step-by-step explanation:
State the gradient of the line 2y = 3 – 2x.
Answers
Answer:
Step-by-step explanation:
2y = 3-2x
y = -x + 3/2
Slope of line = coefficient of x = -1
To make a cake, one pound of dry cake mix is needed. However, when pouring cake mix into the mixing bowl, 10% spills onto the floor and is unusable. What is the standard amount of cake mix necessary to make a cake
Answers
Answer:
it will be ten left
Step-by-step explanation:
the cake max is 20
Answer: 1.10 pounds
Step-by-step explanation:
(x3)(x-5)
Fududeey
X=2
Answers
Answer:
-18 is the right answer..
Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum
Answers
12. Mitch, Miranda, and Evan added
their heights together.
They
got a total of 15 feet 3 inches.
Convert that measurement to
inches.
Answers
Answer:
183 inches.
Step-by-step explanation:
There are 12 inches in a foot.
12 * 15 = 180
Plus the 3 spare inches.
180 + 3 = 183
Answer:
Step-by-step explanation:
There are 12 inches in a foot.
The height in inches is 12 * 15 = 180
Total height = 12 * 15 + 3
Total height = 180 + 3
Total height = 183 inches
Compare 9/10 or 90percent'
Answers
Step-by-step explanation:
9/10
=0.9
90%
=90/100
=0.9
Hence, 9/10 = 90 %
A straight driveway leading to a hotel is 150 feet long and 12 feet wide. It is pave with concrete 6
inches thick. At a cost of $6.25 per cubic foot, how much did the concrete cost.
Answers
Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:
Answers
She saves $3,840 annually into savings account
1. Marissa earns $1,000 after taxes twice a month
This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes
2. Marissa's monthly bills are $1,200.
The monthly bills means expenses that Marissa incurred during the month.
3. Marissa deposits 40% of her remaining monthly income into a savings account
The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).
She deposits 40% of $800 into a savings account.
= 40% x $800
= $320
So, she is saving $320 out of the remaining $800 she has per month.
4. Marissa annually save?
She saves $3,840 annually ($320 x 12 months) into savings account.
However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.
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what is the vertex of y<∣x−3∣+5
Answers
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
Which fraction is equivalent to 6/10
Answers
Answer:
12/20
Step-by-step explanation:
which equation can be used to solve for x in the following diagram?
Answers
Answer:
A
Step-by-step explanation:
We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.
Answer:
A
Step-by-step explanation:
because it is a right angled
Review the following problem and answer the questions that follow.
Problem: 23 - (-2)
Answer: 21
1) Where did I make the mistake?
2) What suggestion would you give me to avoid making that same mistake in the
future?
Answers
you forgot the main part!
the correct answer is 25
.
your sign will be + not - because when you multiply two negative signs It will be positive
what’s the solution for
-108pi=6pij
Answers
Answer:
j is -18
Step-by-step explanation:
[tex] - 108pi = 6pij \\ - 108 = 6j \\ j = - 18[/tex]
The solution is j = -18 for the expression -108π = 6πj
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operations is called the arithmetic operator.
Operators who let do basic mathematical calculations.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that the expression
⇒ -108π = 6πj
Divided by 6π both sides
⇒ -108π/6π = 6πj/6π
⇒ -18 = j
⇒ j = -18
Thus, the solution is j = -18 for the expression -108π = 6πj
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