One number that is divisible by both 3 and 4 is 12. Any multiple of 12 is also divisible by both 3 and 4, such as 24, 36, 48, etc.
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
As the three longitudinal lines are parallel:
angle 4 = 5 = 6 = 82 degree (corresponding angles) = 9 = 8 = 7 = 82 degrees (vertical angles)
and
angle 11 = 180-82= 98 degrees (linear pair)
so:
angle 10 = 11 = 12 = 98 degrees (corresponding angles) = 3 = 2 = 1 = 98 degrees (vertical angles)
.
hope you got it
Answer:
The density of cube is 6.17959 ![\frac{g}{cm^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)
Step-by-step explanation:
The density is given by ration of a mass of body and volume occupied by a body.
![\rho = \frac{m}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7Bm%7D%7BV%7D)
Where,
is density.
m is mass of a body
V is the volume of a body
Given that one side of the cube is 0.53cm
Hence, the volume of a body is V=
=0.148877![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
Now, the Density of the cube will be
![\rho = \frac{m}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7Bm%7D%7BV%7D)
![\rho = \frac{0.92}{0.148877}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7B0.92%7D%7B0.148877%7D)
![\rho =6.17959](https://tex.z-dn.net/?f=%5Crho%20%3D6.17959)
Thus, The density of cube is 6.17959 ![\frac{g}{cm^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7Bcm%5E%7B3%7D%20%7D)
The awnser to that question is 80000