Answer: 6.5 in
Step-by-step explanation:
Given the information we have, we first need to turn this into a parallelogram. So, now that we have a parallelogram, we need to find the area of that and divide it by two. So 3 1/4 x 4 = 13
So now that we have the area of the square, we need to divide it by two. 
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So our answer is <u>6.5 in</u>
(a) By the fundamental theorem of calculus,
<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives
<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024
The answer is 3.46 meters
You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.
c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters
It looks right to me. you followed all the clues.
Answer:
Step-by-step explanation:
Let the length is x, then the width is 1/4x.
<u>Find the perimeter of rectangle:</u>
- P = 2(l + w)
- P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5x
