A 10 meter ladder was placed on an angle. The base of the ladder is 5 meters away from the

Mathematics

2 answers:

Dmitrij [34]3 years ago

8 0

Answer:

To determine the height we will use a² = b²+c²

(10m)²= (5m)²+(h)²

<=> 100m²=25m²+h²

<=> 100m²-25m²=75m²=h²

<=> √ 75m² = h = 8,660m

Olenka [21]3 years ago

4 0

Answer:

5^2 + h^2 = 10^2

Step-by-step explanation:

This is a clear example of the Pythagorean Theorem, a relation of all sides in a right triangle. The equation itself is a^2 + b^2 = c^2. By simply plugging in the given values into the triangle, you would get the answer.

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The function f(x) varies directly with x, and f(x) = 45 when x = 9.

Paladinen [302]

Answer:

Option C = 15

Step-by-step explanation:

In principle when a function f(x) varies directly with x it suggests that any changes in x results in the equivalent changes in f(x). If we have two variables, i.e. y representing f(x) and x representing itself, any increment/decrement in x will result to the same increment/decrement in y by a factor a, thus we can say that y = ax, implying y and x have the same ratio.

In the given question we know that $f(x) = 45$ when $x=9$ , which translates as