How do you find the area of a figure in square units?
Answers
Rectangle:
Length = 2 units
Width = 3 units
Area = Length x Width = 3 x 2 = 6 units²
Triangle:
Base = 2
Height = 2
Area = 1/2BH = 1/2(2)(2) = 2 units²
Total Area:
2 u² + 6 u² = 8 units²
Hope this helps! :)
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Write 2 litres 700 ml to the nearest litre
Answers
Sally started by filling a measuring cup with 3/4 of a cup of vegetable oil. That's a good amount of oil!
Then, she poured 1/4 of a cup of oil into a frying pan. Now we're getting things sizzling!
So, if we add the 3/4 cup and the 1/4 cup together, we get:
3/4 + 1/4 = 3/4 + 2/4 = 5/4
That means Sally poured a total of 5/4 (or 1 and 1/4) cups of oil in total.
Now, we're all set to cook up something delicious! Enjoy your culinary adventures, my dear!
Answers
B. They scored 27 points.
C. Eighty miles per hour.
D. Half the speed of the car.
Answers
A. The number of different colors on the page.
D. Half the speed of the car.
These statements contain variables representing unknown quantities or values.
Variables in mathematics and science are symbols that represent unknown values or quantities. Let's analyze each statement to identify the ones containing variables:
A. "The number of different colors on the page."
This statement contains a variable because it represents an unknown quantity, the number of colors.
B. "They scored 27 points."
This statement does not contain a variable as it explicitly states a specific value (27 points).
C. "Eighty miles per hour."
This statement does not contain a variable as it provides a specific constant value (80 miles per hour).
D. "Half the speed of the car."
This statement contains a variable because it represents an unknown value, which would depend on the actual speed of the car.
In summary, the statements containing variables are:
A. The number of different colors on the page.
D. Half the speed of the car.
These statements represent quantities that can vary, making them suitable for mathematical or scientific analysis where variables are used to express relationships and solve equations.
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A) the number of different colors on the page; and
D) half the speed of the car.
Explanation:
A variable represents an unknown amount.
For A, we do not know how many colors are on the page; this means we would use a variable to represent it.
For D, while we know we want half of the speed of the car, we do not know what the speed of the car actually is; therefore we would use a variable to represent it.
Answers
The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
What is Translation?
Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
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The image of point Q under the translation (x, y) -> (x - 3, y + 4) is Q'(-8, 8)
Given data:
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
The point is represented as Q ( -5 , 4 ).
To find the image of point Q(-5, 4) under the translation (x, y) + (x - 3, y + 4), we simply apply the translation vector (x - 3, y + 4) to the coordinates of point Q.
New x-coordinate = x - 3 = -5 - 3 = -8
New y-coordinate = y + 4 = 4 + 4 = 8
Hence, the image of point Q(-5, 4) under the given translation is Q'(-8, 8).
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The complete question is attached below:
Plot the image of point Q ( -5 , 4 ) under the translation (x, y) + (x - 3, y + 4).
Answers
The geometric mean of 10 and 18 in the simplest radical form is 6√5
What is geometric mean?
The geometric mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature,
Given that, we need to find the geometric mean of 10 and 18,
The geometric mean of two number x, y is given by:
= √(xy)
Therefore,
Geometric Mean of 10 and 18 = √(10*18)
= √180 = √(36 * 5) = √36 * √5 = 6√5
Hence, the geometric mean of 10 and 18 in the simplest radical form is 6√5
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The complete question is
Identify the geometric mean of 10 and 18 in simplest radical form. Please Give the Explanation and the Answer.
Geometric Mean of 10 and 18 = √(10*18)
= √180 = √(36 * 5) = √36 * √5 = 6√5