Answer:
V = 115.3 ft³
Step-by-step explanation:
The left part of the figure shows a cube of side length 4.2 ft. The volume of a cube is V = s³, where s is the side length. Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.
The volume of a pyramid is V = (1/3)(base area)(height).
Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.
Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or
V = 115.3 ft³ after rounding up to the nearest tenth.
The green arrow thing is a ray. So, question b. is a ray. So the dot would be B and the arrow would be C.
24 dollars.
1/4 + 1/3 = 3/12 + 4/12 = 7/12
7/12 a + 8 = 22
7/12 a = 14
a = 14 x 12/7
a = 24 dollars
Answer:
1. 23.8
2. 7.7
Step-by-step explanation:
<u>for the first blank</u>
use sin because x is opposite and 25 is hypotenuse
set up an equation:
sin(72)= (x/25)
multiply both sides by 25:
25(sin(72))= (x/25)25
25(sin(72))= x
multiply 25 by sin(72):
23.8 = x
<u>for the second blank</u>
use cos because x is adjacent and 25 us hypotenuse
set up an equation:
cos(72)= (x/25)
multiply both sides by 25:
25(cos(72))= (x/25)25
25(cos(72))= x
multiply 25 by cos(72):
7.7= x
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
Putting k=105 in (i), we get
Therefore, the required equation is .
