Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
Answer:
Rotation
Step-by-step explanation:
A transformation of a triangle can be either dilation or reflection or rotation or a translation.
Dilation happens when a symmetric figure is formed with scale factor other than 1. But here both triangles have same side length. Hence no dilation
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle. Here DEF is rotated without disturbing its shape or size through a certain angle. Hence rotation is right
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Step-by-step explanation:
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Answer:
Density = 52.8 pound per cubic feet.
Step-by-step explanation:
Given the following data;
Length = 2.5 feet
Width = 0.5 feet
Height = 0.25 feet
Mass = 16.5 pound
To find the density of the wood;
First of all, we would determine the volume of the wood.
Volume = length * width * height
Volume = 2.5 * 0.5 * 0.25
Volume = 0.3125 cubic feet
Next, we find the density;
Mathematically, density is given by the formula;
Density = mass/volume
Substituting into the formula, we have;
Density = 16.5/0.3125
Density = 52.8 pound per cubic feet.
Answer:
California
Step-by-step explanation:
The standard deviation of a sampling distribution also called standard error is obtained using the relation :
Standard Error = σ / sqrt(n)
Where n = sample size ; σ = population standard deviation
From the relation above, the higher the sample size of the sampling distribution, the lower the standard error because n is the denominator.
Therefore, California with a sample size of 1700 will have a lower standard error value Than Detroit with a sample size of 1000
