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victus00 [196]
3 years ago
11

a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter wha

t is the area of the board that can be seen​
Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer is \bf \dfrac{80}{7} dm².

In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.

Refer to the attachment for step by step solution. :)

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F(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b​
krok68 [10]

From the given inverse function, we have

f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12

By definition of inverse function,

f\left(f^{-1}(x)\right) = x

so that

f\left(2x-\dfrac12\right) = x

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2ax - \dfrac a2 + \dfrac b2 = x

\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}

\implies \boxed{a=\dfrac12}

\implies \dfrac b2 = \dfrac a2 \implies \boxed{b=\dfrac12}

8 0
2 years ago
Help please! (Explanations are preferred, since I have to know how to do this for a test)
Galina-37 [17]
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3 years ago
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Andrei [34K]
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3 years ago
Read 2 more answers
what is the surface area of a rectangular prism with a hight of seven, length of eleven and a side length of six?​
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Answer:

The answer is 462!!

Step-by-step explanation:

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