Sorry, I know it's a little late.The answer is -6a^2 b^4 c^3
Answer:
D) 13.9 in
Step-by-step explanation:
The diagonal of a rectangle is longer than the longest side. It will never be more than 42% of the shortest side longer than the longest side.
Here, the longest side is 11 inches. 42% of the shortest side is about 3.6 inches, so the diagonal length will be between 11 and 14.6 inches. Only one answer choice is in that range: 13.9 in.
Of course, the length of the diagonal can be figured to any desired accuracy using the Pythagorean theorem.
... √(8.5² +11²) = √193.25 ≈ 13.9014 . . . . inches
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<em>Comment on the solution</em>
For this multiple-choice problem, it is sufficient to estimate the length of the diagonal. The estimate we suggested was to add 0.42 times the short side to the long side.
An even closer estimate can be had by multiplying that value (.42×short side) by the ratio of the short to long sides prior to adding it to the long side. This will get you within 1.5% of the correct value without the need for a square root.
If the function is translated two units up, then it means the y value of every x value is moved up two units, or y + 2. This means the new function will be f(x)+2
Answer:
Circumference ≈ 3.142 cm
Step-by-step explanation:
≈ basically means that it's an approximate value.
The formula to find the circumference of a circle is:
Circumference = 2πr
The diameter is given, but we can find the radius by halving the diameter.
radius = 
= 
= 0.5 cm
Now that we know the radius, we can add the radius into the formula and find the circumference.
Circumference = 2 × π × 0.5
Circumference = π × 1
Circumference ≈ 3.142 cm
