Answer:
12
Step-by-step explanation:
For polygons that are similar to each other, the ratio of their corresponding sides are usually equal to each other, as they are proportional.
Therefore, given that ∆DAE is similar to ∆BAC, AD = 6, AB = 6+4 = 10, AE = x, AC = x + 8, therefore:
AD/AB = AE/AC
6/10 = x/(x+8)
Cross multiply
6*(x+8) = x*10
6x + 48 = 10x
Subtract 6x from both sides
48 = 10x - 6x
48 = 4x
Divide both sides by 4
48/4 = x
x = 12
Length of side AE = 12
Answer:
Step-by-step explanation:
Answer:
V=167.5 cubic mm
Step-by-step explanation:
Volume of the Cone is given with the formula
![V=\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
though we are not specified what is radius and which one is the height , we are assuming that ,
Height = 10 mm
Radius = 4 mm
Substituting these values in the formula we get
![V=\frac{1}{3} \pi 4^2 \times 10](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%204%5E2%20%5Ctimes%2010)
![V=\frac{1}{3} \pi 160](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20160)
![V=\frac{160 \times 3.14}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B160%20%5Ctimes%203.14%7D%7B3%7D)
![V=\frac{160 \times 3.14}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B160%20%5Ctimes%203.14%7D%7B3%7D)
![V=\frac{502.40}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B502.40%7D%7B3%7D)
![V=167.5](https://tex.z-dn.net/?f=V%3D167.5)
Answer:
3 cm, 4 cm, 5 cm
Step-by-step explanation:
what is the given slope and y intercept? as a basic rule the general equation of a graph is y=mx + b. x is the slope and b is the y intercept.