Answer:
R = 3.6
A = 2
Step-by-step explanation:
R is inversely proportional to A
....which means that....
; R = k/A.....(where k is a constant that does not change)....
;If R = 12 and A = 1.5....then k = 18..
obtain k,by substituting the values into the equation...k = RA
a) If A = 5....then R = 18/5....
; Ans..., R = 3.6
b) If R = 9....then A = 18/9
;Ans..., A = 2
Answer:
Step-by-step explanation:
option A
Answer:
The sequence of transformation used to map ABC onto A"B"C" is reflection, then rotation, then translation.
Step-by-step explanation:
To map ABC onto A"B"C" steps are:
step 1: Reflection of ABC
step 2: rotation of A'BC by some angle to obtain A'B'C'.
step 3: translation of A'B'C' by some units to the right to obtain the given transformation A"B"C".
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer).
