At a local park, Jared can choose between two circular paths to ride his bicycle. One path has a diameter of 240 yards, and the
2 answers:
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Answer:
Step-by-step explanation:
Given
Required
Solve using distributive property
can be rewritten as
So:
Factorize:
Now, we can apply distributive property on the expression;
Hence, the above is an equivalent expression.
Solving further, we have
Answer:
Step-by-step explanation:
Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;
let;
Therefore;
Since x = cos y from the above substitute;
Hence, gives the required proof
Answer:
The length of the mat is 30 inches.
Step-by-step explanation:
Let H be the hypotenuse of the incline mat, L its length and h its height.
It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²
(L + 4)² = L² + (L - 14)²
Expanding, we have
L² + 8L + 16 = L² + L² -28L + 196
collecting all the terms to the right side, we have
L² + L² -28L + 196 - L² - 8L - 16 = 0
L² - 36L + 180 = 0
Using the quadratic formula, L =
L
We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .
So, the length of the mat is 30 inches.