Answer:
b=4, h=5
Step-by-step explanation:b(b+1) divided by 2 is 10, so b(b+1)=20 so b^2 + b =20 so b^2 +b -20=0 which equals (b+5)(b-4), giving us solutions -5 and 4. However, -5 is invalid bc it is negative, so base must be 4 making height 5
Answer:
or 4
Step-by-step explanation:
Answer:
1, -5
Step-by-step explanation:
you can this solve easily
3 - -1 = 4 units down from y = -1
x does not change in this reflection
-5, because subtracting a negative is the same as adding a positive, which will bring -9 up to -5
9514 1404 393
Answer:
160 cm³
Step-by-step explanation:
The ratio of the linear dimensions is the square root of the ratio of areas:
scale factor B/A= √(64/144) = 8/12 = 2/3
The ratio of volumes is the cube of the scale factor:
(volume B)/(volume A) = (2/3)³ = 8/27
Then the volume of pyramid B is ...
volume B = (volume A) × (volume B)/(volume A)
= (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B
_____
Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.
Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³