Answer:
D
Step-by-step explanation:
(3^2x5)^3=91125
3^6x5^3=91125
The answer is B
Volume of the cone: 63617.25
Volume of the cylinder: 891000
Hope this helps ;)
Answer:
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
I think the answer is C good luck
Answer:0.246ft/s
Step-by-step explanation: when the the worker starts moving and stops 10 feets away from lateral rope connecting the load, it forms a right angle triangle as see in the pix.
V = s/t ... equ 1
S= distance traveled by worker while pulling the rope = 10 ft
V = velocity of worker = 2ft/s
T = time taken the worker to move 10 ft = time taken for the load to move up = 5seconds
Use Pythagoras theorem to determine distance from pulley to new position of worker
Square root of (40^2 + 10^2) = 41.23ft
Distance traveled by load = D = 41.23 - 40
=1.23ft
Speed of load = D/ t...equ2
Substituting D and the into equ2
S.l = speed of load = 1.23/5 =0.246ft/s
