Small one: 18 and 1-thirds yards² Large one: 43.5 yards²
Step-by-step explanation:
Area of rectangle= base*height
Large one: base = 6, height= 7.25 (7 and 1-fourth)
Area= 43.5yards²
Small one: base = 3(2/3 or 2-thirds), height= 5
change the mixed fraction 3(2/3) to 11/3
area= 11/3 * 5 = 55/3
change to mixed fraction which = 18(1/3)
A rigid transformation <span>is a transformation of the plane that preserves length. In a rigid transformation the initial shape and the image shape are congruent.
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Main properties:
<span>1. distance (lengths of segments remain the same)
</span><span>2. angle measures (remain the same)</span><span>
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3. parallelism (parallel lines remain parallel)</span><span>
</span><span>
4. collinearity (points remain on the same lines)</span><span>
</span><span>
5. orientation (lettering order remains the same)
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</span><span>Taking these properties into account, the correct choice is C.</span>
Answer:
https://www.algebra.com/algebra/homework/Functions/Functions.faq.question.536412.html
Step-by-step explanation:
Look at this link, I promise it will help you out!
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2
