Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
NO!
Step-by-step explanation:
They are not equivalent. We can check this. If you rewrite them as fractions 13/14 and 1/2, you can cross multiply and see if they are equal. Which they are not. Also, you could just guess.... think of 13:14 as 13 out of 14. And 1:2 as 1 out of 2. You can tell that 13/14 is much greater than 1/2.
100*1.2828...= 128.28282828..( so on..)
100x=128.28
then you do 100x - x = 128.2828...- 1.2828..
then we subtract the .282828... part
99x = 127
then divide boths sides by 99 and then x=127/99
The volume of a cone is V=1/3*pi*r^2*h
Since the value of r is 6 and the value of h is 8, we get:
V=1/3*pi*6^2*8
V=1/3*pi*36*8
V=12*pi*8
V=96pi
V=301.5928947
So the exact volume of the cone is 301.5928947 m^3
The approximate value of the volume rounded to the nearest tenth is 301.6 m^3
