Answer:
Step-by-step explanation:
B
2
3
Let the distance of two consecutive stones are x, x+1.
In ΔBCD, we have
tan60
o
=
x
h
⇒x=
3
h
.....(i)
In ΔABC, we have
tan30
o
=
x+1
h
⇒
3
1
=
x+1
h
⇒
3
h
+1=
3
h ......[from equation (i)]
⇒
3
2h
=1
⇒h=
2
3
km
solution
Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
Answer:
C
Step-by-step explanation:
The volume of the regular pyramid is ![V=\dfrac{1}{3}A_{base}H.](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DA_%7Bbase%7DH.)
The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to
![A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.](https://tex.z-dn.net/?f=A_%7Bbase%7D%3D6%5Ccdot%20%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%2012%5Ccdot%2010.4%3D374.4%5C%20cm%5E2.)
Hence, the volume of the pyramid is
![V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%20374.4%5Ccdot%2036%3D4%2C492.8%5C%20cm%5E3.)
So do you have A B C it would help
V=4/3 π •r^3 multiply both sides with 3
3•36π=4π • r^3
108 π=4 π • r^3
r^3 =108 π/4 π
r=3 inch