The length of the bottom beam =9.16 feet
<h3>What is Pythagoras theorem?</h3>
the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given : Total length of arm = 3.4+3.4=6.8 ft
Applying Pythagoras in triangle on right side we have,
H²=P²+ B²
6.8²= P² + 4.8²
46.24= P² +23.04
P²= 23.2
P= 4.81 feet
Similarly, on the triangle on left side.
Again we have the base as 4.81 feet.
Now, the length of the bottom beam= 4.81*2
=9.16 feet
Learn more about Pythagoras theorem here:
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Answer: The complete question is found in the attachment
Step-by-step explanation:
a) To determine the 1-unit growth factor for <em>f</em>
= 2.1/1.75 = 1.2
b) To determine the 1-unit percent change for <em>f</em>
<em>=100 x 1-1.2/1 = 0.2 x 100= 20%</em>
<em>c) to determine the initial value of f</em>
<em>f(x)= abˣ , b =1.2 a=initial value</em>
<em>at (-1,2.1)</em>
<em>2.1= (1.2)⁻¹ x a</em>
<em>a = 2.1/(1.2)⁻¹ </em>
<em>a = 2.1 x 1.2 = 2.52</em>
<em />
<em>d) to determine the function formula for f</em>
<em>f(x)= abˣ = 2.52(1.2)ˣ</em>
<h3>
Answer: 4(x - 1)(x^2 + x + 1)</h3>
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Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Answer:
D. is the answer
Step-by-step explanation:
1.5 × 8 = 12