Answer:
Step-by-step explanation:
(x - 1) × ( cancel the factor (x - 1) on numerator and denominator
= 1
[ In the same way 2 × 
= 1 ]
The required rational expression is
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
Put all the values,
So, the value of r is equal to 7.33 units.
Step-by-step explanation:
GIVEN,
f(x)=2x+1; g(x)=3x-2
NOW,
( 2x+1 + 3x-2)×3
=(5x-2)×3
=15x - 6 <em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>
Answer:
-40
-6
51
Step-by-step explanation:
-33+-7 you are adding two negatives
9+(-15) you are adding a negative to a positive which gets you closer to zero
5-(-46) you are subtracting a negative which is adding
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
