Answer:
I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.
Step-by-step explanation:
Here is the formula to find the gravitational potential energy of an object:
U = m * g * h (potential energy equals mass times gravitational acceleration * the height)
The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.
Now we solve:
8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.
Answer:
0
Step-by-step explanation:
f(x) = 2/5(6 - x)²
f(6) = 2/5[6 - (6)]²
f(6) = 2/5(0)²
f(6) = 0
Answer:
8
Step-by-step explanation:
Let's set this up to see if we can simplify it a bit:
Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:
10 divided by 5 is 2, and 2 cubed is 8
<h2>
Answer:</h2>
(a) 6
(b) 9
<h2>
Step-by-step explanation:</h2>
The units of a whole number is the rightmost digit in the number. For example, if the number is <em>15678</em>, the units is <em>8</em> since that is the rightmost digit. Another example is <em>25795</em>. The units is <em>5.</em>
<em></em>
(a) To find the units of the square of -2346,
<em>i. First find the square of (-2346)</em>
(-2346)² = (-2346) x (-2346) = 5503716
<em>ii. Now find the rightmost digit.</em>
The rightmost digit of 5503716 is 6.
<em>Therefore, the units of the square of (-2346) is </em><em>6</em>
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<em />
(b) To find the units of the square of -5677,
<em>i. First find the square of (-5677)</em>
(-5677)² = (-5677) x (-5677) = 32228329
<em>ii. Now find the rightmost digit.</em>
The rightmost digit of 32228329 is 9.
<em>Therefore, the units of the square of (-5677) is </em><em>9</em>
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Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
