Hey can anybody help me with this question please
1 answer:
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Answer:
b = 24
Step-by-step explanation:
<u>Concepts</u>
The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation . We can also use this formula to solve for the other two legs in the right triangle.
<u>Application</u>
In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.
<u>Solution</u>
Step 1: Set up equation and simplify.
Step 2: Subtract 100 from both sides.
Step 3: Take square root of both sides.
Therefore, b = 24.
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Break this problem down first. You have two lines each with length of 5. You also have two halves of a circle, combine them to get a full circle with a radius of 2. The formula to find the perimeter of a circle is
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B