Answers
[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]
Related Questions
Change 3/4 to a decimal! Please explain step by step to get marked as brainliest
Answers
Answer:
The answer is 0.75
Step-by-step explanation:
The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
Another method without a calculator is:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
Example:
Convert 3/4 to a Decimal:
Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25. It gives us 75/100.
Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);
Answer = 0.75
Kevin and Randy Muise have a jar containing 32 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.40. How many of each type of coin do they have?
PLSSSS AnSWER QUICKLY
Answers
Answer:
19 quarters and 13 nickles
Step-by-step explanation:
You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40
How many nickels and quarters do you have?
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters
Coin Total Equation → n + q = 32
Step 2: Rearrange Coin Total Equation in terms of nickels (n)
n = 32 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:
0.05(32 - q) + 0.25q = $5.40
0.05(32) - 0.05(q) + 0.25q = $5.40
1.6 - 0.05q + 0.25q = $5.40
1.6 + (0.25 - 0.05)q = $5.40
1.6 + 0.2q = $5.40
Step 4: Subtract 1.6 from each side of the equation to isolate q
1.6 - 1.6 + 0.2q = $5.40 - 1.6
0.2q = 3.8
Step 5: Divide each side of the equation by 0.2 to isolate q
0.2q
0.2
=
3.8
0.2
q = 19
Step 6: Using our value for q, Solve for n using our Coin Total Equation:
n + 19 = 32
Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19
n = 13
Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40
Divide.
5÷1/4
1/20
4/5
5/4
20
Answers
Answer:
20.
Step-by-step explanation:
That's the correct answer
Answer:
20
Step-by-step explanation:
To divide by a fraction, such as 1/4, we invert the fraction and then multiply instead of dividing. Thus:
5÷1/4 = 5*(4/1) =20
Complete the explanation of how you can use a table of values, an equation, and
a qraph to determine whether a function represents a proportional relationship.
Answers
Answer:
Step-by-step explanation:
Which of the following statements best describes the location of −(−1) on a number line? (5 points)
Question 6 options:
1)
It is 1 unit to the left of 0.
2)
It is 1 unit to the right of 0.
3)
It is 1 unit to the right of 1.
4)
It is 1 unit to the left of 1.
Answers
Answer:
It is 1 unit to the right of 0.
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Answers
[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]
=====================================================
Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)will dilate to the corresponding image points
V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
If x = 9, what is the value of 6(x - 2)?
Answers
Answer: 42
6(9-2)
= 6 * 7
= 42
Answer:
6(9-2)
=6×7
=42 ans
Step-by-step explanation:
I think it help you I also you understand it
4х + Зу = — 15
Зу = 2х + 3
Answers
Answer:
(- 3, - 1 )
Step-by-step explanation:
4x + 3y = - 15 → (1)
3y = 2x + 3 → (2)
Substitute 3y = 2x + 3 into (1)
4x + 2x + 3 = - 15
6x + 3 = - 15 ( subtract 3 from both sides )
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into (2)
3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )
y = - 1
solution is (- 3, - 1 )
Please write in full sentences.
Brainliest and 100 points.
If you don't know then don't answer.
Answers
Answer:
no because there is a 10 which make it not proportional
Step-by-step explanation:
hope that helps.
Answer: No they are not proportional because the last row has -10 which obstructs the whole relationship.
Factor the following expression completely: 3x^2+9x+6
Answers
Answer:
The answer is 3(+1)(+2)
Answer:
3(+1)(+2)
Step-by-step explanation:
Please look for the question in the picture.
Answers
The function f(x) is shown graphed below.
The function g(x) is defined by the formula: g(x)=-4f(x)+7
What is the value of g(3)?
Answers
The value of g(3) is 11
The function is given as:
g(x) = -4f(x) + 7
Start by calculating f(x) when x = 3
From the graph, we have:
f(3) = -1
So, we have:
g(3) = -4f(3) + 7
g(3) = -4* -1 + 7
Evaluate the product
g(3) = 4 + 7
Evaluate the sum
g(3) = 11
Hence, the value of g(3) is 11
Read more about composite functions at:
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a shirt is on sale for 20% off the original price. if the original price is 25.00, what will be the sale price of the shirt
Answers
Answer:
$20 is the sale price
Step-by-step explanation:
20% of $25 is (0.2*25)=$5
$25 -$5 = $20
n is m% of what? please help its hard.
Answers
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
DASH
Hollywood Academy of Arts & Sciences
Select the correct answer. Press the Submit button.
Use the image and information you have read to answer.
How is the object in this image similar to the AUV
developed by engineers at MIT?
A
They both cause damage to deep-sea coral reefs.
B
They both stay motionless at all times.
They both must remain on the bottom of the ocean.
D They both squirt jets of water to hold their position.
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O
Answers
Answer:
The answer is b
Step-by-step explanation:
Happy holidays ;)
Jesper can run 6 miles in 45 minutes. He is thinking about running in two different races, a 9-mile race and a 15-mile race. At his current rate, how many more minutes will it take Jesper to complete the 15-mile race than the 9-mile race?
Answers
Find minutes per mile by dividing time by distance:
45 minutes / 6 miles = 7.5 minutes per mile
Now multiply his speed by each distance:
7.5 x 9 = 67.5 minutes
7.5 x 15 = 112.5 minutes
Now subtract the two:
112.5 - 67.5 = 45 minutes more
It will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
Jesper's running speed is 6 miles in 45 minutes.
To find out how long it will take him to complete the races, you can use the formula:
Time = Distance / Speed
Let's calculate the times for both races:
For the 9-mile race:
Time = 9 miles / (6 miles/45 minutes)
= 9 × (45/6)
= 67.5 minutes
For the 15-mile race:
Time = 15 miles / (6 miles/45 minutes)
= 15 × (45/6)
= 112.5 minutes
The difference in time between the 15-mile race and the 9-mile race will be:
Difference = Time for 15-mile race - Time for 9-mile race
= 112.5 minutes - 67.5 minutes
= 45 minutes
So, it will take Jesper 45 more minutes to complete the 15-mile race than the 9-mile race at his current running speed.
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The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm2. What is the height of the container? PLEASE FAST!!
Answers
Answer:
40cm
Step-by-step explanation:
volume of a cylinder= πr²h
V=24litres, Area=πr²=600cm², height=?
converting litres to cm³
1litre=1000cm³
24litres= 24×1000
=24000cm³
24000=600× h
h= 24000/600
= 40cm
What is the conjugate?
a - square root of a - 1
Answers
The conjugate of the expression a - square root of a - 1 is given as follows:
a + square root of a - 1
How to obtain the conjugate of an expression?The conjugate of an expression is obtained for an expression that has two terms.
For the conjugate, we have that:
The signal of the first term is kept.The signal of the second term is inverted.The expression is given as follows:
a - square root of a - 1
The parameters are given as follows:
First term of a.Second term of square root (a - 1).Inverting the - sign to a + sign, the conjugate expression is given as follows:
a + square root of a - 1
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The table shows the proof of the relationship between the slopes of two parallel lines. What is the missing reason for step 2?
A.
Pythagorean theorem
B.
application of the distance formula
C.
application of the slope formula
D.
transitive property
Answers
The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As we know,
Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
From the graph of two parallel lines:
r ║ s
The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.
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2.03 of 0.045 is what number?
Answers
Answer:
2.03% of 0.045=0.0009135
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 0.045 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.045 is 100%, so we can write it down as 0.045=100%.
4. We know, that x is 2.03% of the output value, so we can write it down as x=2.03%.
5. Now we have two simple equations:
1) 0.045=100%
2) x=2.03%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.045/x=100%/2.03%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 2.03% of 0.045
0.045/x=100/2.03
(0.045/x)*x=(100/2.03)*x - we multiply both sides of the equation by x
0.045=49.261083743842*x - we divide both sides of the equation by (49.261083743842) to get x
0.045/49.261083743842=x
0.0009135=x
x=0.0009135
Answer:
0.09135
Step-by-step explanation:
when it says "of" a number, you simply multiply them
Jocelyn gave the cashier $50 to pay for 3 shirts. The cashier gave her $5.03 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each pair of shirts?
Answers
Answer:
14.9
Step-by-step explanation:
50-5.03 = 44.97
44.97 ÷ 3 = 14.99
Carpet Company A
c = 1.35y + 100
where c is the cost and y is the number of square yards.
Carpet Company B
This company charges $2.05 per square yard for the carpet and the installation.
Identify the unit rate in dollars per square yard for each carpet company.
Answers
Answer:
2.45
Step-by-step explanation:
Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answers
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.
Find the product of 5 and 539.
Answers
Answer:
Step-by-step explanation:
5*539=2695The product of 5 and 539 is 2695
What does it mean to find the product of numbers:Finding the product of numbers simply means multiplying 2 or more numbers.
Therefore, the product of 5 and 539 can be done as follows:
5 × 539Multiplication or product sign is denoted as ×.
Therefore,
5 × 539 = 2695
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Hemp help help math math
Answers
Answer:3 or 6 over 2
Step-by-step explanation:
The formula is y2-y1
-------- =
x2-x1
y2=30 y1=24. X1=8. X2=10
So you do 30 minus 24 to get 6 and 10-8 to get 2 and yhen you will get the fraction of 6/2 so when you divde it your final answer will be 3
5x²-11x +6 . factories the expression
Answers
Answer:
5
x
2
−
11
(
x
)
+
6
Step-by-step explanation:
[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]
as the schools sign language interpreter kiran gets paid 35.50 for every parent-teacher conference that he attends. He also gets paid $42 per schhol-related assembly that he attends as an interpreter. If kiran earns $991 for 27 paid events how many parent teacher conferences and how many school related assemblies did he attend write a system of equations describe each variable and solve
Answers
Answer:
x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)
Step-by-step explanation:
This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.
x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.
35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.
This sets up the following system
x+y=27
35.50x+42y=991
To solve this, we first need to take the first equation and solve for y.
y=27-x
plug in to the second equation and solve for x.
35.50x+42(27-x)=991
35.50x-42x+1134=991
Collect like terms
-6.5x=-143
divide both sides by -6.5 to solve for x.
x=22
Back substitute into other original equation to solve for y.
22+y=27
y=5
The interpreter attended 22 parent-teacher conference and 5 school related assembly
To solve this problem, we would write out two set of linear equations.
The data given on this problem are
parent-teacher conference = $35.50school related assembly = $42The total number of engagements = 27Let x represent the number of parent-teacher conference
let y represent the number of school related conference
Equations[tex]x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)[/tex]From equation (i)
[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]
Put equation(iii) into equation (ii)
[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]
Put y = 5 into equation 1
[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]
From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.
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What are the common factors of 16 and 24?
O A. 1,2, 8
B. 1, 2, 460
C. 1, 2, 3, 4,8
O D. 1, 2, 4, 8, 12
SUBMIT
Answers
Answer:
1 , 2 , 4 , 8
Step-by-step explanation:
Factors of 16:
1, 2, 4, 8, 16
Factors of 24:
1, 2, 3, 4, 8, 6, 12, 24
Common factors are factors that are shared by both numbers, in this case, it i: 1 , 2 , 4, 8
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answers
Answer:
See explanation
Step-by-step explanation:
Dilation of 1.5 about the origin. (Each new point is 1.5 times as far from the origin.)
G (-1, 3) G' (-1.5, 4.5)
F (-2, -2) F' (-3, -3)
G'x / Gx = -1.5/-1 = 1.5
G'y / Gy = 4.5 / 3 = 1.5
F'x / Fx = -3 / -2 = 1.5
F'y / Fy = -3 / -2 = 1.5
?/5 =8/10 type the missing number that makes this fraction equal
Answers
Answer:
[tex]?=4[/tex]
Step-by-step explanation:
[tex]\frac{?}{5}=\frac{8}{10}[/tex]
[tex]\frac{2?}{10}=\frac{8}{10}[/tex]
[tex]2?=8[/tex]
[tex]?=4[/tex]