Answer:
x = 15
Step-by-step explanation:
the easiest way to do this is 5 times 3 and with that we get 15 :)
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Answer:
A, C, D
Step-by-step explanation:
Remember: Exponents are simply repeated multiplication.
The exponent determines how many times to multiply the base number by itself.
Option 'A' and 'C' apply.
Option D applies because:
Answer:
b = 9 ft
Step-by-step explanation:
Pythagorean Theorem:
a^2 + b ^2 = c^2
Given:
a = 12
b = ?
c = 15
Plug in values:
12^2 + b^2 = 12^2
Solve for b^2:
b^2 = 15^2 - 12^2
b^2 = 225 - 144
b^2 = 81
Take square root of both sides to find b:
sqrt(b^2) = sqrt(81)
b = 9
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Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
