Answer: 7
Step-by-step explanation:
Given: Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.
We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.
Let k be the scale factor.
Then,
![k=\frac{21}{3}=\frac{14}{2}=\frac{28}{4}=7\\\\\Rightarrow\ k=7](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B21%7D%7B3%7D%3D%5Cfrac%7B14%7D%7B2%7D%3D%5Cfrac%7B28%7D%7B4%7D%3D7%5C%5C%5C%5C%5CRightarrow%5C%20k%3D7)
Hence, the scale factor = 7
Step-by-step explanation:
Given that,
- Height of cylinder = 4 cm
- Volume of cylinder = 616 cm³
To find,
Firstly we'll find the base radius of the cylinder.
![\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7BV_%7B%28Cylinder%29%7D%20%3D%20%5Cpi%20r%5E2h%7D%5C%5C)
<u>Accordi</u><u>ng</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>qu</u><u>estion</u><u>,</u>
![\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B616%3D%20%5Cdfrac%7B22%7D%7B7%7D%20%5Ctimes%20r%5E2%20%5Ctimes%204%7D%5C%5C)
![\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B616%20%5Ctimes%207%20%3D%2022%20%5Ctimes%20r%5E2%20%5Ctimes%204%7D%5C%5C)
![\longmapsto\rm{4312 = 88 \times r^2 }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B4312%20%3D%2088%20%5Ctimes%20r%5E2%20%7D%5C%5C)
![\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B%5Ccancel%7B%5Cdfrac%7B4312%7D%7B88%7D%7D%20%3D%20%20r%5E2%20%7D%5C%5C)
![\longmapsto\rm{49 = r^2 }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B49%20%3D%20%20r%5E2%20%7D%5C%5C)
![\longmapsto\rm{\sqrt{49} = r }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B%5Csqrt%7B49%7D%20%3D%20%20r%20%7D%5C%5C)
![\longmapsto\rm{7 \; cm = r }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7B7%20%5C%3B%20cm%20%3D%20%20r%20%7D%5C%5C)
Now,
![\longmapsto\rm{Diameter = 2r }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7BDiameter%20%3D%202r%20%7D%5C%5C)
![\longmapsto\rm{Diameter = 2(7 \; cm) }\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Crm%7BDiameter%20%3D%202%287%20%5C%3B%20cm%29%20%7D%5C%5C)
![\longmapsto\bf{Diameter = 14 \; cm}\\](https://tex.z-dn.net/?f=%5Clongmapsto%5Cbf%7BDiameter%20%3D%2014%20%5C%3B%20cm%7D%5C%5C)
The required answer is 14 cm.
Ingles C would be diagonal so your best answer be D hope this helped !!!!!!
The numbers inside the parenthesis is the value of x, uses the equation associated with the value of x and solve.
H(1) Since 1 fits 1≤x≤3 use x^3
x^3 1^3 = 1
h(1) = 1
h(4) 4 fits x >3, so use 5
h(4) = 5
80 divided by 64 then add % to ur answer
So then you will have your percentage to the dogs weight increase