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
All the answers are gotten using the lcm method
1.8/11
2.3/23
3.1/2
4.13/15
5.8/11
6.49/30
7.22/3
8.19/60
Answer:
Step-by-step explanation:
Since the inscribed angle theorem tells us that any inscribed angle will be exactly half the measure of the central angle that subtends its arc, it follows that all inscribed angles sharing that arc will be half the measure of the same central angle. Therefore, the inscribed angles must all be congruent.
Answer:
Step-by-step explanation:
Before comparison can take place, these three measurements must be expressed in the same unit of measurement:
130 inches becomes 130/12 feet, or 10.83 ft;
4 yards becomes 4*3 feet, or 12 feet; qne
10 feet stays as is.
It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.
