Answer:
A, C, and D
Explanation:
32 rows
15 seats per 1 row
So,
32 × 15 = k
You can try arranging to get more choices.
32 × 15 = k
32 = k ÷ 15
and
32 × 15 = k
15 × 32 = k
15 = k ÷ 32
pls help and show work
Answer
y=5x−10.
Explanation:
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=3, y1=5, x2=2, y2=0.
Plug the given values into the formula for slope: m=(0)−(5)(2)−(3)=−5−1=5.
Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).
b=5−(5)⋅(3)=−10.
Finally, the equation of the line can be written in the form y=mx+b.
y=5x−10.
Answer:
The slope of the line is m=5.
The equation of the line in the slope-intercept form is y=5x−10.
The equation of the line in the point-slope form is y−5=5(x−3).
The equation of the line in the point-slope form is y=5(x−2).
The general equation of the line is 5x−y−10=0.
Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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2/9 x45 quick i need help
Answer:
10
Step-by-step explanation:
2/9x45=10
hope this helps
The number 20 is decreased to 19. What is the percentage by which the number was decreased, to the nearest tenth of a percent
Answer:
(19-20)/20 = -.05 or a decrease of 5% (-5%)
Step-by-step explanation:
(final number - initial number) / initial number * 100
Which of the following is the result of expanding ____
A.8.5
b.15.5
C.32
D.60
The sum between n = 1 and n = 5 is 15.5, so the correct option is the second one.
Which is the value of the summatory?Here we have the summatory:
\(\sum^{5}_{n = 1} 2^{n - 2}\)
So we just need to add the 5 terms (between n = 1 and n = 5)
So we will get the sum:
S = [ 2¹⁻² + 2²⁻² + 2³⁻² + 2⁴⁻² + 2⁵⁻²]
S = [2⁻¹ + 2⁰ + 2¹ + 2² + 2³]
S = [0.5 + 1 + 2 + 4 +8]
S = 15.5
So the correct option is the second one.
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Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
1.1.3. How many litres of milk does Lihle need to make 120 cupcakes? (2)
Lihle would need 30 liters of milk to make 120 cupcakes.
To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.
Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:
Convert milliliters to liters:
Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.
Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.
0.25 liters/cupcake \(\times\) 120 cupcakes = 30 liters.
Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.
It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.
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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?
If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours
Hey, I am in Honors Math and I really need help with this. If I get this problem right I can get an A for this semester so what you guys say is really important to me. I will give you the brainliest. Pleaser answer quickly!
Answer:
length = 163592
Width = 327184
520 = question B
it would become the same as the width = question c
pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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Car drove 2hours at a speed of 100km per hour & 3 hour at a speed of 50 km per hour . What was the average speed of the car during the trip?
Answer:
200 kilometers and 150 kilometers
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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A company makes t-shirts and their research shows that that price and demand are related linearly: p = m x + b . They know that in order to sell 5 shirts they need to set the price at $50, and in order to sell 10 shirts they need to set the price at $40. Find the linear equation relating price to demand.
Answer:
The linear equation relating price to demand is Q=-0.5*P + 30
Step-by-step explanation:
The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.
Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.
You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.
On a line of the form y = m * x + b, the value of m, having two points, is calculated by:
\(m=\frac{y2-y1}{x2-x1}\)
And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.
In the case of Q=m*P+b, the value of m, having two points, is calculated by:
\(m=\frac{Q2-Q1}{P2-P1}\)
Being:
Q1= 5P1= $50Q2= 10P2= $40and replacing:
\(m=\frac{10-5}{40-50}\)
you get:
m= -0.5
So, being Q=-0.5*P+b, b is calculated by:
Replacing the point Q1= 5 and P1= 505= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30
Replacing the point Q1= 10 and P1= 4010= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30
Then, the linear equation relating price to demand is Q=-0.5*P + 30
What is 4w^2? Plz answer!!!
PLEASE HELP ME WITH THE LITTLE QUESTION
Answer:
y = -x +2
Step-by-step explanation:
First let's find the slope.
(-1,3) and (4,-2)
3 - -2/ -1 - 4 = 5/-5 = -1
Slope = -1
Now let's use slope intercept form:
y1-y2=m(x1-x2)
Let's plug in our slope for m.
y1-y2= -1 (x1-x2)
And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)
y1+2 = -1(x1- 4)
y= -x + 4 -2
y = -x +2
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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1) -20= -4 - 6x
Ok so how will I be able to prove what this answer equals up too?
Answer:
\(x=\dfrac{8}{3}\)
Step-by-step explanation:
The given equation is :
-20= -4 - 6x
We need to find the value of x. It can be done by collecting like terms togther as follows :
-20+4=-6x
⇒-16=6x
\(x=\dfrac{8}{3}\)
So, the solution of the given equation is 8/3.
Please help I’ll mark you as brainliest if correct!
Step-by-step explanation:
x = number of quarters.
y = number of dimes.
z = number of pennies.
0.25x + 0.1y + 0.01× = 1.05
but it is not possible to find a combination of a subset of the coins to create exactly 1 (= the change for $1).
like to have only 3 quarters and 3 dimes (and no pennies). that makes $1.05, and no combination can create exactly $1.
as a consequence
x < 4 (because 4 quarters is $1, and more than 4 quarters is already more than $1.05).
z < 5 (because with 5 or more pennies, since the total sum is $1.05, if I simply remove 5 pennies, I get $1 with the other coins, no matter what combination they are).
with 1 or 2 or 3 or 4 pennies I cannot build a total sum of $1.05, as the other coins will can only build a sum that ends in 0 or in 5.
so, the sum of these other coins and 1, 2, 3, 4 pennies can never end in 5.
that means, we have 0 pennies.
that rules out to have 0 or 2 quarters, because then together with the dimes the sum can only end in 0 (and actually also give change for $1).
so, we can have only 1 or 3 quarters.
that means the solutions are
1 quarters and 8 dimes
or
3 quarters and 3 dimes.
1 quarter and 8 dimes (and 0 pennies) is the desired solution, because it contains more coins.
for the maximum amount of money built by coins not providing change for $1 we need to remember :
4 quarters are $1 (and would provide change for $1). so, we always need less than 4 quarters. but also at least 1 quarter to keep the sum from ending with a 0 (which would allow again to build $1).
10 dimes are $1 (and provide change for $1). we always need less than 10 dimes.
5 or more pennies would always allow to take away or fill up to create a sum that ends in 0 and therefore build $1. so, we always need less than 5 pennies.
that means again
1 or 3 quarters
max. 9 dimes
4 pennies.
if the the maximum possible sum would be higher than 1.19, then we could only increase in steps of 0.10 (dimes) : 1.29, 1.39, ...
if the sum is 1.29, I could remove 1 quarter and 4 pennies to make $1.
if it is 1.39, I could remove 1 quarter, 1 dime and 4 pennies to make $1.
and so on.
any sum >= 1 created incl. 4 or more quarters or 10 or more dimes or 5 and more pennies can always be reduced to a full $1.
$1.19 can only be built by 1 quarter and 9 dimes and 4 pennies, so that we cannot build $1 out of a subset, or by 3 quarters, 4 dimes and 4 pennies.
and 1 quarter, 9 dimes and 4 pennies has more coins.
Find the triangle of the following figure: A. 30cm2 B: 36cm2 C. 18cm2 D. 15cm2
Answer:
D. 15cm2
Step-by-step explanation:
To find the area of a triangle, you multiply the base (10cm) and height of the triangle (3cm) and divide that by 2. So 10×3=30. Then, you need to divide this by 2. Since 30 is an even number, you won't get a decimal. So 30/2=15. And dont forget your units!
Find the slope that passes through (-7, 1), and (-4, -3)
Answer:
The slope would be -4/3
Answer:
m=-3/4
Step-by-step explanation:
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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What is a formula for the nth term of the given sequence?
-6,0, 6...
Answer:
Step-by-step explanation:
5 Digit Lock - Level One
*
242
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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please help!! find the inverse of image attached :)
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
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You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a tail AND an even number on the die AND a card less than 5 (assume the ace is equal to 1) from the deck?
\(|\Omega|=2\cdot6\cdot52=624\\|A|=1\cdot3\cdot16=48\\\\P(A)=\dfrac{48}{624}=\dfrac{1}{13}\)
Answer:
1/13
Step-by-step explanation:
I need help asap please!!!
The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and
What is sine of angles?he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle. It is defined as the length of the opposite side divided by the length of the hypotenuse
The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360
2∅ 2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720
sin 2∅ = sin0 = 0; Sin90=1; sin180=0; sin240= -0.8660; sin270 = -1;
Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397
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what is 16/1 + 4 2/3
You have to add the following fractions:
\(\frac{16}{1}+4\frac{2}{3}\)First step is to write 4 2/3 as a fraction:
\(\begin{gathered} 4=\frac{3\cdot4}{3}=\frac{12}{3} \\ \frac{12}{3}+\frac{2}{3}=\frac{12+2}{3}=\frac{14}{3} \end{gathered}\)Next express 16/1 is the same as saying 16 whole numbers. T oexpress it as a fraction with the same denominator (thirds) multiply it by 3/3:
\(16\cdot\frac{3}{3}=\frac{16\cdot3}{3}=\frac{48}{3}\)Next add both equation:
\(\frac{48}{3}+\frac{14}{3}=\frac{62}{3}\)