The height of a rectangular pyramid is 30 cm.
volume of rectangular pyramid = (length x width x height) / 3
Given:
Volume = 900 cm³
Length = 10 cm
Width = 9 cm
Height = ?
V = lwh/3
900 cm³ = (10cm * 9cm * h)/3
900 cm³ * 3 = (90cm² * h)/3 * 3
2700 cm³ = 90cm² * h
2700 cm³/90cm² = 90cm² * h/90 cm²
30 cm = h
to check:
900 cm³ = (10 cm * 9 cm * 30 cm)/3
900 cm³ = 2700 cm³/3
900 cm³ = 900 cm³
Answer:
1, 3, 7, 21
Step-by-step explanation:
1, 3, 7, 21
(The bolded is one factor and the other that is not bolded is another factor)
1 times 21 is 21
3 times 7 is 21
I believe you are right with all of them.
Yes, because if you have x=5 and x=10 they are parallel lines to each other.
Answer:
3a=4.5
Step-by-step explanation:
it says that "a is equal to 3 times b", which translates to a=3b
We can substitute a as 3b in 2a+4b=5
2(3b)+4b=5
multiply
6b+4b=5
add
10b=5
divide by 10
b=1/2
since it's given that a=3b, we can multiply 1/2 by 3
a=3/2
3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5
Hope this helps!