Answer:
40.99 is 10 times more than 4.099
Step-by-step explanation:
Given the values :
4.099 and 40.99
4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)
4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)
40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)
40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)
4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)
The Length of the rectangle is 18 unit.
<h3>
What is the Perimeter of a Rectangle?</h3>
Perimeter of rectangle = 2(length + width)
Given the following:
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = 4x + 6
Perimeter of rectangle = 42 units
Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:
2(4x + 6 + x) = 42
2(5x + 6) = 42
10x + 12 = 42
10x = 42 - 12
10x = 30
10x/10 = 30/10
x = 3
The width (x) = 3.
Length of the rectangle = 4(3) + 6
Length of the rectangle = 18 unit.
Learn more about perimeter of rectangle on:
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One application of volume is determining the density of an object. Assume the object is made of a pure element (eg: gold). If we know the volume (v) of the object, and we know the mass (m), then we can use the formula D = m/v to figure out the density D. Knowing the volume is also handy to determine if the object can fit into a larger space or not. Another application is figuring out how much water is needed to fill up the inner space of the 3D solid (assuming it's hollow on the inside).
The surface area is handy to figure out how much material is needed to cover the outer surface. This material can be paint, paper, metal sheets, or whatever you can think of really. A good example is wrapping a present and the assumption is that there is no overlap.
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.
