Answer:
c = 41 ft
Step-by-step explanation:
To solve this problem, we can use the pythagorean theorem, which is defined by the formula
. We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:

This is the first option.
Answer:

Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :

So, the area of the triangle is equal to
.
(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.
Answer: The second answer
Step-by-step explanation: