What is the decimal representation of 2/ 10
Answers
0.2 is the decimal representation of 2/ 10.
What is Number system?
A number system is defined as a system of writing to express numbers.
The given fraction is 2/10
2/10 is a fraction.
2 is the numerator
10 is the denominator.
Divide numerator and denominator by 2
We get 1/5
The value of 1/5 is 0.2.
Hence, 0.2 is the decimal representation of 2/ 10
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How far did Joey drive altogether?
A.
the number of miles driven in 3 hours
B.
the total number of hours driven
C.
the total number of miles driven
Answers
Step-by-step explanation:
the answer is A, need to calculate individual distance first
Answers
its just the form of counting and not necessarily the different number
Final answer:
Both ways of writing numbers as tens and ones describe the same number because our counting system is based on powers of ten. This means that each place in our numbering system is ten times greater than the place to its right. Scientific and exponential notations simplify arithmetic, making it easier to multiply and divide large and small numbers.
Explanation:
The reason why both ways of writing the numbers as tens and ones describe the same number is because our counting system is essentially based on powers of ten. This powers-of-ten notation effectively means that each place in our numbering system is ten times greater than the place to its right. This principle all stems from human beings starting to count with their ten fingers.
For example, if we consider a number such as 34, this can be expressed as 3 tens and 4 ones. Alternatively, it could also be written in exponential notation as 3x10^1 + 4x10^0, which is still 34. This is because the power (exponent) of 10 correlates with the number of places the decimal point is shifted to give the digit number.
In scientific notation, this makes arithmetic simpler. To multiply two numbers expressed as powers of ten, you only need to multiply the numbers out front and then add the exponents. This way of counting and doing arithmetic is not only easier to write but also simplifies the multiplication and division of large and small numbers.
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Answers
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
Answers
The three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.
To find the magnitude and direction of the translations applied on a triangle, we need to know the coordinates of the vertices of the original triangle and the coordinates of the vertices of the transformed triangle.
Let's say the coordinates of the original triangle are (x1, y1), (x2, y2), and (x3, y3), and the coordinates of the transformed triangle are (x1', y1'), (x2', y2'), and (x3', y3').
The magnitude of the translation can be found by calculating the distance between the corresponding vertices of the original and transformed triangles using the distance formula. For example, the magnitude of the translation from (x1, y1) to (x1', y1') is given by:
sqrt((x1' - x1)^2 + (y1' - y1)^2)
Similarly, we can find the magnitudes of the other two translations.
The direction of the translation can be found by calculating the angle between the line connecting the corresponding vertices of the original and transformed triangles and the x-axis. We can use the arctangent function to find this angle. For example, the direction of the translation from (x1, y1) to (x1', y1') is given by:
tan^-1((y1' - y1)/(x1' - x1))
Similarly, we can find the directions of the other two translations.
Once we have the magnitudes and directions of the translations, we can describe the transformation using vector notation. The vector of the translation is given by:
< magnitude1, direction1 >
< magnitude2, direction2 >
< magnitude3, direction3 >
This represents the three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.
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Answers
The number of flower bouquets sold till 6:00 PM is required.
The flower bouquets sold till 6:00 PM is option A) 204.
Unitary method
Flower bouquets sold in one hour is 24.
Number of hours between 9:00 AM to 12:30 PM is 3.5 hours.
The stand opens at 1:00 PM after the 30 minutes break.
Number of hours between 1:00 PM to 6:00 PM is 5 hours.
Total time the stand is open for is
1 hour of stand being open = 24 flower bouquets sold
8.5 hours of stand being open = flower bouquets sold.
Learn more about unitary method:
Answer:
The number of bouquets of flowers that the stand will sell by 6:00 PM is:
C) 204
Step-by-step explanation:
a) Data and Calculations:
Number of bouquets of flowers that the Stand sells in one hour = 24
Operating time starts at 9:00 AM and closes at 12:30 PM for a 30-minute lunch break.
From 9:00 AM to 12:30 PM, 3.5 hours, it has sold 24 * 3.5 = 84 bouquets of flowers
From 1:00 PM to 6:00 PM, 5 hours, it will sell 24 * 5 = 120 bouquets of flowers.
Therefore, total bouquets of flowers sold within 8.5 hours = 204 (84 + 120).
Answers
Answer:
26 ft height
Step-by-step explanation:
The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.
A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:
tan(50°) = (streetlamp height)/(22 ft)
tan(50°) * (22 ft) = streetlamp height
26 ft = streetlamp height