A=1/2b*h for b =4 and h=3
1 answer:
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Answer:
The height of the dog house = 4 feet.
Step-by-step explanation:
Given:
The shape of the dog house is like a tent.
The slant heights of the house is 5 feet.
The bottom of the house is 6 feet across.
To find the height of the dog house at its tallest point.
Solution:
On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.
Thus, we ave a right triangle, of which one leg = and hypotenuse =
<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>
Plugging in values.
Subtracting both sides by 9.
Taking square root both sides.
Thus, the height of the dog house = 4 feet.
The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 1/√x
m(x) = x² - 4
Domain of f(x)/m(x):
f(x)/m(x) = (1/√x)/(x² - 4)
f(x)/m(x) = 1/√x(x² - 4)
The denominator cannot be zero:
√x(x² - 4) ≠ 0
x(x - 2)(x+2) ≠ 0
x ≠ 0, 2, -2
and x > 0
Domain of f(x)/m(x) is: (0, ∞) - {0, 2, -2} or
Domain of f(m(x)):
f(m(x)) = 1/√(x² - 4)
x² - 4 > 0
Domain:
Domain of m(f(x)):
= ((1/√x)² - 4)
Domain:
Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
Learn more about the function here:
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