writing each one in prime factors:_
1
2
3
2 * 2
5
2 * 3
7
2* 2 * 2
3 * 3
2 * 5
so the smallest number ( the L.C.M) = 1*2*2*2*3*3*5*7 = 2520
The answer is 2520.
Answer:
The volume of the given figure is 150 mm³
Step-by-step explanation:
The formula of the volume of the triangular pyramid is V =
AH, where
- A is the area of its base
The formula of the area of a triangle is A =
bh, where
- b is the length of its base
- h is the length of its height
In the given figure
∵ The pyramid has a triangular base
∵ The triangle has a base of 12 mm and a height of 7.5 mm
∴ b = 12 mm and h = 7.5 mm
→ By using the 2nd formula above, find the area of the base
∴ A =
(12)(7.5)
∴ A = 45 mm²
∵ The height of the pyramid is 10 mm
∴ H = 10 mm
∵ A = 45 mm²
→ Substitute them in the first formula above to find the volume
∴ V =
(45)(10)
∴ V = 150 mm³
∴ The volume of the given figure is 150 mm³
I thinks its B
p.s. spread le cheese ⌂
1. Check the picture at the bottom.
2. ABCD is a right trapezoid so the diagonals have equal length. Lets find diagonal BD.
3. In triangle ABD we are given the length AB=7, AD=5 and m(A)=80°.
4. We use the cosine law: 
5. Cosine of 80 can be found with a scientific calculator or in the internet as cos80=0,17
6. 
square root of BD=7.88, so the answer is 8 feet.
Answer:
551
Step-by-step explanation: