Angle A = 100 , Angle C = 100 , Angle D =80
Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is ![\text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cfrac%7B%5Ctext%7Blength%20of%20side%20of%20given%20figure%7D%7D%7B%5Ctext%7Blength%20of%20side%20of%20resulting%20figure%7D%7D)
Here, ![\text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cfrac%7B%5Ctext%7Blength%20of%20side%20of%20given%20rectangle%20%7D%7D%7B%5Ctext%7Blength%20of%20side%20of%20resulting%20rectangle%7D%7D)
![\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cfrac%7B3%7D%7B7.5%7D%3D%5Cfrac%7B2%7D%7B5%7D)
Hence, the scale factor for the resultant rectangle is
units.
X=6
y=7
6+7
= 13
1/2(6) + 7
= 3 +7
=10
Answer:
Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?Step-by-step explanation:
Answer:
atleast 385
Step-by-step explanation:
Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.
Population std deviation = ![\sigma = 50](https://tex.z-dn.net/?f=%5Csigma%20%3D%2050)
Sample size =![n](https://tex.z-dn.net/?f=n)
STd error of sample mean = ![\frac{50}{\sqrt{n} }](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B%5Csqrt%7Bn%7D%20%7D)
Margin of error for 95% would be Critical value ( std error)
Here since population std dev is known we can use Z critical value= 1.96
![1.96*\frac{50}{\sqrt{n} }19.6^2\\n>384.16](https://tex.z-dn.net/?f=1.96%2A%5Cfrac%7B50%7D%7B%5Csqrt%7Bn%7D%20%7D%3C5%5C%5Cn%3E19.6%5E2%5C%5Cn%3E384.16)
Sample size should be atleast 385