-x + 6y = 26
Elimination
Answer : He saved $30 money.
Step-by-step explanation :
when he earned $15 from babysitting, he saved money = 6 dollars
when he earned $1 from babysitting, he saved money = dollars
when he earned $75 from babysitting, he saved money = dollars
Therefore,He saved $30 money.
The 291 smallest tile or 177 largest tile.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However
Given:
Area of floor = 320 feet²
Area of smallest tile= 1.1 square feet
Area of smallest tile = 1.815 square feet.
Number of smallest tile = 320/1.1 ≈ 291 tiles
Number of large tiles = 320/1.815 ≈ 177 tiles
Hence, the 291 smallest tile or 177 largest tile.
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Answer:
9.33
Step-by-step explanation:
Find the diagram attached, to get the length of RT, we will use the pythagoras theorem as shown:
Hyp² = opp²+adj²
Hyp = 11
Adj = 6
Opposite = RT
Substitute into the formula
11² = opp²+6²
Opp² = 11²-6²
Opp² = 121-36
Opp² = 85
Opp = 9.22
Hence the measurel RT to nearest hundredth is 9.22
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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