Answer:
35%
Step-by-step explanation:
Answer:
16 skis and 18 snowboards were rented.
Step-by-step explanation:
Let the number of skis rented be and the number of snowboards rented be .
If a total of people rented on a certain day, then the total number of skis and snowboards rented that particular day is also .
This gives us the equation
.
If skis cost $ , then number of skis cost $ .
If snowboards cost $ , then number of snowboards cost $ .
The total cost will give us another equation,
From equation (1),
.
We put equation (3) into equation (2) to get,
We expand the brackets to obtain,
We group like terms to get,
This implies that,
We divide both sides by to get,
We put into equation (3) to get,
Therefore skis and snowboards were rented.
The perimeter of the second triangle is 90 units.
Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
For this case, the two considered triangles are similar. Thus:
A side of first triangle = k times corresponding side of its similartriangle
where k is the scale factor, constant for one pair of similar triangles.
We're given that:
Sides of first triangle are of 8,10 and 12 unit length.
Smallest side of second triangle is of 24 units.
Now, smallest side of first triangle will correspond to the smallest side of its similar triangle.
For first triangle, the smallest side is of 8 units (8 is smaller than 10 and 12, the other two sides).
Let the sides of second triangle be of S = 24 units, M units, and L units.
where M is middle sized side and L is largest side of second triangle.
Let the scale factor be 'k'.
Then, we get:
Smallest side of first triangle = k × smallest side of its similar triangle
Similarly, middle sized side of first triangle = (1/3) × middle sized side of second triangle
units.
Thus, the length of middle sized side of second triangle is 30 units.
Largest side of first triangle = (1/3) × Largest side of second triangle
units.
Thus, the length of middle sized side of second triangle is 30 units.
Perimeter of the second triangle = sum of length of its sides
= S + L + M = 24 + 30 + 36 = 90 units.
Thus, the perimeter of the second triangle is 90 units.
Learn more about scale factor here:
The domain of this function is ?
negative infinity to zero
0 to infinity
negative infinity to infinity
The range of this function is?
0 to infinity
3 to infinity
negative infinity to infinity
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
A.) 0 to infinity
Y=4^x-5+3
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
B.) 3 to infinity
For the function y = 3 • 5x, the domain is all real numbers (negative infinity to infinity) and the range is all real numbers from zero to infinity.
In mathematics, the domain of a function is the complete set of possible values of the independent variable. In the case of the function y = 3 • 5x, the independent variable is 'x' which can take any real number. Therefore, the domain of this function is from negative infinity to infinity.
The range of a function is the complete set of possible values of the dependent variable. In this function, the dependent variable is 'y', which increases as 'x' increases. Because the lowest value y can take is 0 (when x is 0), the range is from 0 to infinity.
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