Answer:
28 ft
Step-by-step explanation:
The height of the triangle = 15 ft
The least required area A = 210 ft^2
We know that the area of a triangle = 1/2bh
Where
b is the base
h is the height
Substituting, we have
210 = 1/2 x b x 15
210 = 15/2 x b
420/15 = b
b = 28 ft
Answer:
2.25
Step-by-step explanation:
The computation of the number c that satisfied is shown below:
Given that

Interval = (0,9)
According to the Rolle's mean value theorem,
If f(x) is continuous in {a,b) and it is distinct also
And, f(a) ≠ f(b) so its existance should be at least one value
i.e

After this,


After this,
Put the values of a and b to the above equation
![f^i(c) = \frac{f(b) - f(a)}{b - a} \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}](https://tex.z-dn.net/?f=f%5Ei%28c%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%7B2%7D%5Csqrt%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%20-0%7D%7B9-0%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7B9%7D%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%20%5Csqrt%5B2%5D%7Bc%7D%20%3D%203%5C%5C%5C%5C%5Csqrt%7Bc%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%5C%5C%20c%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
= 2.25
Answer:
282 square units
Step-by-step explanation:
I just answered this question
Answer:

Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

We use just the positive root, since we are looking for an actual length. then, the requested side is:
