Answer:
10feet
Step-by-step explanation:
We solve this question, using Pythagoras Theorem to solve for the other side.
Pythagoras Theorem states that
c² = a² + b²
c = √(a² + b²)
In the question, a = 6 feet
b = 8 feet
c = length of the rope
c = √6² + 8²
c = √36 + 64
c = √100
c = 10 feet
The length of the rope is 10 feet
<span>Jerome’s
rain gauge shows that there’s 13 9/10 centimeter at the end of last month.
=> for the end of this month, it shows 15 3/10 centimeters.
The question is, how manu centimeter of rain added for this month according to
Jerome’s gauge.
=> 15 3/10 cm (this month’s rain measurement)
=> 13 9/10 cm (last month’s rain measurement)
Subtract both numbers.
=> 15 3/10 – 13 9/10
=> convert this first to improper fraction
=> 153/10 – 139/10
=> 14/10
=> 1 4/10 the rain added to for this month
</span>
Answer:
3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
Step-by-step explanation:
log(z3)/√x5y)
= log (z3) - log (√x5y) [division being subtracted]
= 3 log (z) - {log (√x) + log (√5y)} [ multiplication being added in the denominator]
= 3 log (z) - {log (x)^1/2 + log (5)^1/2+ log (y)^1/2}
= 3 log (z) - 1/2{log (x) + log (5)+ log y }
We can solve inside the curly bracket and then multiply with 1/2 or we can solve it separately
= 3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
How does this work?
1) any two terms being multiplied in logarithms are added with the log of each.
2) the exponent becomes the co- efficient.
3) any two terms being divided in logarithms are subtracted with the log of each
Answer:
r=-4
Step-by-step explanation:
Hope that this is helpful.
