Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
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Answer:
Step-by-step explanation:
1. The given equation is:

Multiplying both the terms, we get

Option A is correct.
2. The given equation is:

Converting the improper fraction into the mixed fraction,

=
Option C is correct.
3. The given equation is:

Multiplying both the terms, we get
=
4. The given equation is:

Converting the improper fraction into the mixed fraction,

=
5. One package contains=
pounds of raisins.
packages contains=
pounds of raisins.
=
=
Therefore, the baker used
pounds of raisins.
Answer:
I think its 8 but I'm not positive sorry if I'm wrong!
Step-by-step explanation:
The Y-intercept is when the line of the graph crosses through the y intercept
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm


6х=59:3
6х=19,6
Х=19,6:6
Х=3,2