Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write

Moreover, we know that the length is 5 meters longer than the width:

We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get


which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:

<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).
Answer:
b
Step-by-step explanation:
it isn't c because theres a theorem that says that opposite angles in a parallelogram are congruent
it isn't d because if the opposite angles are 90 and 90 they are supplementary
a is correct, but for the wrong reason
its b
For multiplying fractions you basically just multiply across so for the green one it would be 1x4=4 so you would have 4 as the numerator for the answer and the bottom is 2x8=16 so that would be the denominator your answer would be 4/16 for the green question