Answer:
x=-2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
3141.6 cubic meters
Step-by-step explanation:
The volume of a cylinder is given by;
πr²h
π * (²⁰/₂)² * 10
π * 100 * 10
= 3141.6
Answer:
y=5
x=20 degrees
K= 43 degrees
L=137 degrees
Step-by-step explanation:
aducent angles of parralologram add to 180 degrees
so (6x+17)+ (2x+3)=180
or 6x+17+2x+3=180
so 8x+20=180
and 8x=160
x=20 degrees
opposite sides of parralologram are equal so
6y-13= 32-3y
or 9y=45
and y=5
opposite angles are coonguent so
ang K= 2x+3
so K= 43 degrees
aducent angles of parralologram add to 180 degrees
so ang L+43=180
and L=137 degrees
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Answer:
0.66
Step-by-step explanation:
33 * 0.02 = 0.66
39 x 10
= 390
39 x 40 (390 x 4)
= 1,560
39 x 2
= 78
1,560 - 78
= 1,482
ANSWER: 1,482